Filename: "RC4013.TXT"
Source: Rosicrucian Fellowship Astrology Course

[PAGE 232]

                           ASTROLOGY LESSON NO. 1:

                          THE BASIS OF CALCULATION:

                                    TIME:

   A  horoscope is simply a chart of the heavens calculated by the rules  of
astronomy.   It shows certain positions of the planets and zodiacal signs in
relation to the earth.  These positions are not permanent, however.  If they
were,  the location of the heavenly bodies could be determined once for  all
time without need of further calculation.  The influence of the planets upon
the earth would then also remain constant, and there would be no use for as-
tronomy or astrology.  But as the earth makes a complete revolution upon its
axis each 24 hours,  every point in the northern heavens may be seen once  a
day from any point in the northern half of the earth,  and every star in the
southern heavens rises and sets each day in every part of the southern  half
of  our globe.   The earth and its sister planets revolve around the sun  at
such varying rates that their positions relative to the earth and to one an-
other are constantly changing.  Every day the heavens are different from ev-
ery other day.   If a child were born NOW,  while you are reading this,  the
positions  of  the planets at this moment will not be duplicated  for  about
twenty-six thousand years,  a period which the astronomers call a "Great Si-
dereal Year."  In the meantime the relations of the planets would undergo an
infinite number of kaleidoscopic changes; consequently their influence would
be different in respect to every individual born in the interval,  and  thus
TIME becomes a prime factor in the science of astrology.

                                   PLACE:

   It is further evident, however, that time is not the same the world over.
When  the sun rises at the place where you live,  it is setting  at  another
place; so that when it is morning in your home, it is evening for the people
in  another part of the world.   This makes another difference in the  horo-
scopes  of  children born at the same moment but in different parts  of  the
world,  as you will readily understand when you consider that the sun's rays
affect the earth differently in the morning, at noon, and at midnight.   The
planets' places and influence would also differ in the case of children born
at  the same time but in opposite parts of the world,  for if a planet  were
just  above the birthplace of one,  its rays would impinge upon  that  child
with unimpeded force,  but to reach the other, born in an opposite part,  it
would  be  necessary  for the stellar ray to  travel  directly  through  the
earth--as  wireless waves cross mountains--and part of its force would  thus
be  spent  by the time it reached the child.   Therefore planets  under  the
earth have less influence on a life than those above.

   Thus  you see that TIME and PLACE ARE THE BASIC FACTORS IN  A  HOROSCOPE,
and the more accurately we are able to determine them,  the  better we shall

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be able to delineate the character and predict events for those whom we  aim
to help.

                               THE EXACT TIME:

   In  nothing  the time of birth of children it is advisable  to  have  the
clock set as accurately as possible.  Mark that the time of birth in the as-
trological  sense is not the moment of delivery,  but the instant  when  the
child  gives its FIRST CRY,  for that cry is the completion of  its  initial
breath; then the air, charged with the subtle stellar influences peculiar to
that moment, has run its course through the sensitive little infant body and
has stamped every atom with its vibration.  This primal impression will pre-
vail  during life though the atoms change again and again,  just as  a  scar
perpetuates itself upon the flesh.   Therefore, the stellar rays at the  mo-
ment of birth exert a powerful influence all through life.   They are impel-
ling  forces which sway most of us hither and thither as driftwood  is  pro-
pelled by currents of the sea.  It is THE PURPOSE OF ASTROLOGY to teach that
these forces exist,  and that by exerting our wills we may steer the bark of
our life as we wish, and also to teach how we may aid others in the like en-
deavor.

                               THE EXACT PLACE:

                                  LATITUDE:  

   Geographically,  the earth is divided by two imaginary circles.  One runs
east and west half way between the north and south poles as shown in the ac-
companying chart.   It is called the EQUATOR.  Other circles,  called Paral-
lels of Latitude,  are imagined running parallel to the equator,  and  their
use  is to measure the distance of any place north or south of the  equator.
Now get an atlas, and look at the map of North America.  Along the right and
left  hand borders you will see certain numbers.   Note that a  curved  line
runs from number 50 on the right to number 50 on the left.  This is the fif-
tieth degree of latitude.  All cities along this line,  in America,  Europe,
or  Asia  are equidistant from the equator, and are said to  be  located  in
"LATITUDE 50 NORTH."

   Another  line runs from number 40 on the left border to number 40 on  the
right.  Let us note some of the principal cities on or near this line:   San
Francisco is a little further south,  Denver right on the line;  Chicago and
New York a trifle north.   Now turn to the map of Europe.   There the  right
and  left hand numbers with their connecting circles are also  parallels  of
latitude.   At  the number 40 you will see Lisbon  and  Madrid.   Proceeding
eastward Rome and Constantinople appear a little to the north of our line.

   These places may be said,  for the purpose of elementary instruction,  to
be in the same degree of latitude,  and therefore another determinator  must
be used to differentiate the location of each place from all others.

                                 LONGITUDE:

   This  is accomplished by dividing the earth from pole to pole by  another
set  of imaginary circles called Meridians of Longitude,  also shown in  our
chart.   They are so called because all places located along such  a  circle
have noon at the same instant, regardless of how far they are from the equa-
tor or whether near the north or south pole.

   Now look again at your map of Europe.   There you will see numbered lines
running from the top of the map to the bottom.   These are meridians of lon-
gitude.   One is numbered 0.   If you follow that line you will find London,
and  close thereto a place called Greenwich.   That is the location  of  the
world's greatest observatory,  and for purposes of astronomical  calculation
all  places on earth are considered as being so and so many degrees west  or
east of Greenwich.

   Thus,  by  LATITUDE we obtain the location of a certain  place  NORTH  or
SOUTH of the equator.

   By LONGITUDE we designate its position EAST or WEST of Greenwich.

   When  the location of a place is stated in terms of latitude  AND  longi-
tude,  it marks a certain spot beyond all doubt or possibility of  confusion
with any other place, and gives the astrologer the second of the primal fac-
tors necessary to calculate a scientific horoscope:  PLACE.

                                 QUESTIONS:

                           ASTROLOGY LESSON NO. 1:

   IMPORTANT NOTICE:  Write plainly; answer all questions in as few words as
possible.   Then go over them again and see if you can improve  them  before
you mail them to us.   Each lesson must be well learned before you being the
next.

   1.    What is meant by Longitude and Latitude?

   2.    State the location of San Francisco, Leningrad, London (England),
         Vienna, Berlin, New Orleans, Vancouver, B.C., and Montreal, Canada.

   3.    When does birth occur from the astrological viewpoint?

   4.    How can the planets at birth influence the whole life?

   5.    What is the purpose of astrology?

   6.    Write the signs of the zodiac and their symbols.

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                           ASTROLOGY LESSON NO. 2:

   If  you go on your housetop or any other convenient elevation on a  clear
night,  you will see a great many stars adorning the vaulted arch of heaven,
and if you look more closely you will observe that they all twinkle--that is
to  say,  with the exception of perhaps one or two which shine with  a  per-
fectly steady light.   The twinklers are suns of other solar systems so  far
away that a traveler going with the speed of light would require hundreds of
years to reach some of them.   They move in such enormous circles and are at
such a distance that they appear to maintain the same positions relative  to
one another.  Therefore they are called "FIXED STARS."

   There  is a radical difference between the twinklers and the stars  which
emit a steady light.  If you watch one of the latter night after night,  you
will  find that it changes position relative to the fixed stars in a  direc-
tion from west to east,  the same as the sun.   Continued observation of the
various heavenly bodies whose light is steady will show that they all follow
the same path among the maze of fixed stars.  Four such luminous PLANETS are
visible to the naked eye at various times of the year.  Their names are SAT-
URN, JUPITER, MARS, AND VENUS.  A fifth, MERCURY, is usually so close to the
sun that it is invisible on account of the luminosity of the sun's rays, but
at times it may be seen in the west shortly after sunset or in the east just
before  sunrise.   It twinkles like a fixed star,  though it  is  a  planet.
There is a spiritual reason for the anomaly,  but as that feature would  di-
vert our attention, we will pass it by at present.

   A  telescope is required to properly observe the two planets nearest  the
outskirts of our solar system, URANUS and NEPTUNE.

   These seven heavenly bodies move around the sun.  So does the Earth,  and
the moon revolves about the Earth; but when we look into space it appears as
if  the earth stood still,  and sun, moon,  and planets all move around  us.
The  ancient PTOLEMAIC system of astronomy is vogue until modern  times  was
based upon this conception of the universe,  and subscribed to by all  until
superseded by the COPERNICAN THEORY.   Skeptics and scoffers who have  never
taken time nor trouble to investigate arrogantly maintain that since the Co-
pernican theory has proved that the planets, including the Earth, move round
the sun,  that fact in itself is PRIMA FACIE evidence of the fallacy of  as-
trology, which they term an "exploded superstition."

   We do not care to "convince a man against his will,"  and deem a  defense
of astrology superfluous, but feel that it may benefit beginners to know the
astrologers' views.

   When the sun's rays slant, as they do morning and evening, they give less
heat than at noon when they are more nearly perpendicular.   Although we are
millions of miles NEARER THE SUN IN MIDWINTER than in summer,  it is coldest
in winter because the sun's rays are more nearly HORIZONTAL then than at any
other time of the year.   In summer the scorching heat of the  perpendicular
ray is not lessened because we are then farthest from the sun.   Thus it  is
evident  from  observation  that THE ANGLE of the ray  is  practically  SOLE
DETERMINATOR of its effect upon the Earth.

   Astrology  deals  also with planetary angles and their  observed  effects
upon humanity.   It teaches that varying angles of sun and planets give dif-
ferent physical,  moral, and mental tendencies.  The discovery of Copernicus
does  not render the tabulated statistics of astrologers null and  void  any
more than it eliminates heat from the solar ray.   When A CERTAIN ANGLE  has
been established,  A CORRESPONDING HEAT is felt today as before the days  of
Copernicus,  and the finer influences dealt with by astrology are not  miss-
ing, either.

   Neither is it an argument against the truth and utility of astrology that
predictions sometimes fail.   If all came true,  it would prove life an  un-
profitable struggle against inexorable fate and the human will of no avail.

                              SIGNS AND HOUSES:

   The  path  pursued by sun and planets among the fixed stars,  year  after
year,  is called THE ECLIPTIC,  and the fixed stars grouped near this  great
circle are called THE NATURAL ZODIAC.

   In each of the twelve months the sun appears to travel through a  certain
group  of  the zodiacal stars,  and therefore they have  been  divided  into
twelve  natural "SIGNS"  of the zodiac.   Astrologers also speak  of  twelve
"HOUSES," and it is often a sore puzzle to the beginner to differentiate be-
tween these "signs"  and "houses,"  and to understand their relation to  one
another in the horoscope.   We shall therefore try to elucidate he matter as
plainly  as  possible:    Procure  an  orange,  apple,  or  any  other  soft
ball-shaped article, and six long hatpins, or knitting needles.   Pierce the
ball with them in such a manner that they resemble twelve spokes in a wheel.
The  ball  will then represent the earth,  and the projecting parts  of  the
needles are dividing lines between house and house, each house being located
between two needles.

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                               THE HOUSES:

1ST HOUSE: Early Environment    7TH HOUSE: Marriage
2ND HOUSE: Finance              8TH HOUSE: Death
3RD HOUSE: Travel               9TH HOUSE: Mind
4TH HOUSE: Old Age             10TH HOUSE: Social Standing
5TH HOUSE: Children            11TH HOUSE: Friends
6TH HOUSE: Health              12TH HOUSE: Sorrow
   

   Now,  mark this definition, and you will have no difficulty.   The twelve
signs  are divisions of the heavens relative to the Vernal Equinox  and  the
Ecliptic.   The twelve houses are divisions of the heavens relative  to  the
birthplace and the horizon.

   The  purpose  of the division into signs and houses is to  determine  the
angle  of the stellar ray,  for upon that depends its influence.   In  order
that you may still better understand the principle, drive one of the needles
of  your wheel into a block of wood so that it stands upright;  place it  in
front of you,  and compare it with the illustration in this lesson which  is
marked "THE HOUSES."  (Diagram No. 1).

         [NOTE: Diagram No. 1 is not included in this file.]
        

     BIRTH CHART--AUGUST 2, 1909--8:15 PM--LONG. 88 W.--LAT. 42 N.

MIDHEAVEN: Sagitt. 18    SUN: Leo 10:05        SATURN: Aries 23:14
11TH HOUSE: Capricorn 9  MOON: Aquarius 26:40  URANUS: Capricorn 18:13R
12TH HOUSE: Aquarius 2   MERCURY: Leo 8:31     NEPTUNE: Cancer 17:44
ASCENDANT: Pisces 7:08   VENUS: Virgo 5:02     DRAGON'S HEAD: Gemini 13:44
2ND HOUSE: Aries 25      MARS: Aries 4:06      DRAGON'S TAIL: Sagitt. 13:44
3RD HOUSE: Taurus 26     JUPITER: Virgo 15:17  PART OF FORTUNE: Virgo 23:43


   The small circles in the diagram correspond to your ball or orange, which
represents the Earth moving in space without visible support,  and receiving
the rays from all the stars and planets scattered over the vault of heaven.

   Let us suppose you are standing on top of the Earth ball, or at the point
indicated by the arrow in Diagram No. 1.   As you are living in the northern
part of the world, you look south when you gaze at the noonday sun, which is
then in its highest elevation, and its ray falls from the angle marked 10 in
the  diagram.   It has been observed that planets which are in  that  "tenth
house"  at  the birth of a child affect its honor and social  standing,  and
therefore  the tenth house is said to "rule"  these matters.   Planets  just
rising  in the east at birth send their rays through the division marked  1,
and have been shown to affect the form of body and conditions of the  paren-
tal home; hence the "first house" is held to determine these affairs, and so
on with all the other houses.

   As you know,  the sun appears to travel around the Earth in a year of 365
days.   Mathematicians have made this the basis of their calculations by di-
viding all circles into 360 parts, as it would have been inconvenient to di-
vide  by an uneven number like 365.  The distance traveled by the  sun  each
day is called a DEGREE,  which is 1/360th part of a circle.   A month has 30
days and the distance traveled by the sun in that time is 30 degrees.   This
is therefore THE LENGTH of each of the twelve "SIGNS"  of the zodiac.   This
measure is as unvarying as the "fixed" stars with which it deals.

                                   NOTICE:

   IN ORDER TO UNDERSTAND THE NEXT LESSON YOU WILL REQUIRE AN EPHEMERIS  FOR
1912.

                                  QUESTIONS

   1.    What is the difference between the signs and the houses?

   2.    What is the difference between the signs of the zodiac and the
         planets?

   3.    What is a degree?  How many degrees are there in each sign?

   4.    How many signs and how many house are there?

   5.    What determines the influence of a planet?

   6.    How many degrees are there from Aries 1 to Taurus 15?

   The "houses"  differ from the "signs" in the following respect also:   If
we cast the horoscopes of children born at the equator,  directly under  the
path of the sun and planets, the "houses"  are one-twelfth part of a circle,
or 30 degrees long.  As we go farther and farther north, our lines of demar-
cation must slant more and more,  hence some "houses"  are only 12 to 15 de-
grees long and OTHERS are 40 to 50.  You may see this on the second diagram.
The  first  house being twice as long as the tenth would indicate  that  the
child ten born will probably be more of a "home body"  than a public charac-
ter.

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                           ASTROLOGY LESSON NO. 3:

                               TRUE LOCAL TIME:

   In our first lesson we spoke about time in general.  We will now consider
a special kind of time,  namely,  True Local Time.   This is the same as Sun
Time, which is gauged by the instant when the sun crosses the meridian (when
it is directly overhead) at any particular place.   This instant marks  True
Local Noon for that place.  We will also learn how to convert Standard Time,
the prevailing time in the United States, into True Local Time.

   Prior to November 18,  1883, the time used in any particular locality was
Sun Time, that is, True Local Time.

   But  since that time it has been found convenient to substitute  what  is
called Standard Time,  for Sun Time, particularly in America,  and therefore
the  student should understand the division of the country into time  zones,
so that he may be able to make necessary corrections when calculating  horo-
scopes for dates subsequent to the institution of Standard Time.

   This innovation grew out of the confusion which existed in railroad time-
tables  before its introduction.   Where several railroads entered  a  city,
each  had  its clocks set to a standard of its own,  and  in  addition,  the
people  in that city had their own local time.   Sometimes the clock on  one
railway  station varied half an hour from that of another railroad  company,
and  both pointed to a different time from the timepiece on the  city  hall.
It  was therefore suggested that if the country be divided into time  zones,
each  about fifteen degrees of longitude in width (this being  the  distance
the sun travels in one hour), and all the clocks in each division set to one
uniform time,  gauged by a meridian located in the center of its time  zone,
the  difficulty would be overcome.  Accordingly,  America was  divided  into
four such zones by three imaginary lines, as illustrated in the diagram:

   In  the  Eastern Time Zone clocks are set to the 75th Meridian,  5  hours
earlier than Greenwich Mean Time.

   In the Central Time Zone time is regulated to the 90th Meridian, which is
6 hours earlier than Greenwich.

   In the Mountain Time Zone timepieces are governed according to the  105th
Meridian, which is 7 hours earlier than Greenwich Mean Time.

   In the Pacific Time Zone time is set to the 120th Meridian,  8 hours ear-
lier than Greenwich.

   In all cities located on these Standard Meridians (indicated by arrows on
our diagram), such as Philadelphia and Denver, and no correction is required
in calculation of horoscopes.   But Detroit, which you will see located near
the dividing line between the Eastern and Central Time Zones,  is 8  degrees
west  of the 75th Meridian,  and its clocks are therefore 32 minutes  faster
than Sun Time,  for when they show noon according to the 75th Meridian Stan-
dard,  the True Local Time is 32 minutes before twelve.   Chicago you see  a
little east of the 90th Meridian (2 degrees).   When the clocks there are at
twelve,  it is really 8 minutes past the noon hour.   San  Francisco  clocks
show noon when the True Local Time is only 11:50 A.M.,  because that city is
2 1/2 degrees west of the Standard Meridian.  Correction is therefore neces-
sary  because True Local Time must be used in all subsequent calculation  of
the horoscope.   The rule for obtaining True Local Time is:   to the NEAREST
Standard Meridian Time,  ADD four minutes for each degree the birth place is
EAST of the Meridian corresponding to that Time.

   If  the birth place is West of that Meridian,  SUBTRACT four minutes  for
each degree it is West thereof.

   To illustrate,  we will find the True Local Time for a birth at New York,
July 23,  1912,  5:56 A.M.,  Standard Time.  By reference to the map we find
that  New York is in about 74 degrees West Longitude,  which is  ONE  degree
EAST of the nearest Standard Time Meridian, namely, the 75th meridian.  Fol-
lowing our rule, we add ONE times four, or four minutes to the time shown by
the clock (5:56 A.M.),  obtaining thereby 6:00 A.M., which is the True Local
Time of birth.

   Similarly,  for a birth at New York, July 28,  1912,  9:56 P.M.,  we find
that the True Local Time is 10 P.M.

   Note specially,  however,  that this correction of Standard to True Local
Time applies only to the United States and is required only for dates subse-
quent to Nov. 18, 1883, when Standard Time was adopted.  But,  in such other
countries as have special time regulations, these must be taken into account
in calculating True Local Time.

                             GREENWICH MEAN TIME:

   We are not to learn about another kind of time.   Suppose that we have  a
pole many billions of miles long, and that the earth is sufficiently soft so
that we can imbed the pole therein.  Then, as we look out along our pole, we
shall  find it pointing directly at one of the fixed stars.   As  the  Earth
turns  upon  its axis,  our pole will point to different  stars  at  various
times,  but  from the time it is in line with one certain star to  the  next
time it reaches that position, the Earth will have made one complete revolu-
tion.   This is a Sidereal Day an our only absolutely correct measurement of
time.

   When you look in your ephemeris on March the 21st,  you see in the column
marked "Sidereal Time," the figures 23 hours, 54 minutes; the next day has a
different sidereal time,  and so has every day through the rest of the year.
You may therefore think our statement wrong, but there would be no such dif-
ference  if the Earth were stationary in space.   In addition  to  revolving
upon its axis,  however, it also travels in an orbit around the Sun,  and so
if the pole,  which we imagine stuck in the Earth,  points to a certain star
on  the noon of March 21st,  it must move a little further to catch up  with
the Sun (which marks our noon), on March 22nd.  On March 23rd,  it must have
moved still a little further after passing the marking star, and yet further
for every succeeding day in the year.  Moreover,  as the speed of the  Earth
is variable at different times of the year,  so also the difference in  time
between  the  sidereal  clock  and  the  solar  clock  varies.  Therefore we

[PAGE 237]

cannot even use Sun time in our civil life,  but are forced to average these
differences in time, and thus we get what is called MEAN TIME.  Further,  as
the greatest observatory of modern times is at Greenwich, England, the world
sets its clocks by the timepiece there, and calls it Greenwich Mean Time.

   The  ephemeris gives us the Longitude of each planet at  noon,  Greenwich
Mean Time,  for every day in the year.  If we were all born in Greenwich and
at twelve o'clock noon, we might just set the figures given in the ephemeris
for our birthday, down in the horoscope without further calculation.  But as
most  of us were born at places east or west of Greenwich,  a correction  is
obviously necessary,  and the fact that people are born at all hours of  the
day  necessitates a further correction,  so that the position of the  planet
may be accurately calculated for the birthtime at the birth-place.  How this
is  accomplished  and the philosophy of the correction will be seen  by  the
following illustration:

   Any circle, as you know, is mathematically divided into 360 degrees,  and
you may with profit look up what is said about this in Lesson No.  1,  where
the  Sun's  motion in its orbit was the theme.   That revolution  takes  one
year,  and thus the Sun's seeming daily motion is about one degree.  But the
Earth also describes a circle upon its axis in twenty-four hours, and so ap-
pears to move one degree of space in four minutes, or fifteen degrees in one
hour.   New York is located in about 75 degrees west longitude,  and the Sun
must therefore travel 4 hours, 56 minutes from the noon mark at Greenwich to
reach the midday position at New York.  And when the Sun is at the zenith in
Greenwich,  when the clocks there strike twelve, the rays of the morning Sun
are peeping into New York, and its clocks point to 7:04 A.M.

   A  little child born in New York at 7:04 o'clock in the morning  and  an-
other  child born in London at noon would thus be born at exactly  the  same
moment, though the clocks thus differed in their birth-places.  But it would
be necessary to correct the New York birth-time to Greenwich time,  in order
to use the ephemeris calculated for the latter place.   This is done by add-
ing to the True Local Time of birth, four minutes for every degree of longi-
tude  the birthplace is west of Greenwich,  or subtracting four minutes  for
each degree of longitude which the birthplace is east of Greenwich.

   We  will now calculate the Greenwich Mean Time for a birth at  New  York,
July 23, 1912, 5:56 A.M., Standard Time.  We found in the first part of this
lesson that the corresponding True Local Time was 6:00 A.M.,  which we  will
use in the following calculation:

   New  York is about 74 degrees West Longitude.   Multiply that  number  by
four  minutes;  the product is 296 minutes.  As there are 60 minutes  in  an
hour, we reduce the 296 minutes by dividing by that number; thus we obtain 4
hours and 56 minutes.  This we add to our True Local Time of birth,  6 A.M.,
and obtain 10:56 A.M., which is our Greenwich Mean Time.  That is to say, at
the time when our child was born in New York,  and the clocks in that  place
pointed to 5:56 A.M., the observatory clock in Greenwich, England, indicated
the time as 10:56 A.M.  When Greenwich Mean Time has been found, the student
is advised to forget the birth time in further calculations upon that  horo-
scope,  for only Greenwich Mean Time is then used.   Thus you see how by the
above correction we have changed Standard Time to Greenwich Mean Time.

                                  QUESTIONS:

   1.    What is the True Local Time when clocks set to Standard Time show
         11:25 at Chicago; 9:30 at New York, 10:55 at Denver (all A.M.)?

   2.    What is the Greenwich Mean Time when it is 2 P.M., Standard Time,
         at Chicago?

[PAGE 238]

                           ASTROLOGY LESSON NO. 4:

                                SIDEREAL TIME:

   We have now mastered the preliminary points in astrology;  we  understand
the importance of time and place,  how they are determined by Longitude  and
Latitude;  also the relation of Signs and Houses.   Thus we are prepared  to
commence casting a horoscope.

   You have procured a Simplified Scientific Ephemeris for 1912, which gives
the planets' places as seen from the observatory at Greenwich each noon dur-
ing the whole year.  You will notice that on the right hand pages there is a
column marked S.T.   That means Sidereal Time;  and in that column we  shall
find our starting point for this lesson.

   A technical explanation of what Sidereal Time is would have a tendency to
confuse  the average student at his present stage of astrological  progress,
and  as it is unessential to our calculation,  we therefore simply  describe
its use:

   THE SIDEREAL TIME AT BIRTH determines the SIGN (and degree), to be placed
on each of the twelve HOUSES.

   Be sure to get these three--Sidereal Time, Signs,  and Houses--thoroughly
connected in your mind, for they are the first factors in the calculation of
all  horoscopes.   if you memorize each rule well you will master  the  next
lesson more easily.

                              THE PREVIOUS NOON:

   Our  starting  point  of calculation is the Sidereal Time  given  in  the
ephemeris for the noon PREVIOUS to BIRTH.   Pleas note the emphasis we place
on the word "previous;"  there is a reason:   A horoscope calculated by  our
system for a certain time and place will be exactly like one figures by  any
other  truly scientific method,  but the rules of other systems are  compli-
cated; to find the Houses involves subtraction in certain cases, addition in
others.   We endeavor to simplify the rules of astrology,  and in  this  op-
eration use only addition;  but you must be sure to understand the term "the
noon previous to birth."  If you miss that and get the wrong starting point,
all your calculations must necessarily be out of line.

   A few examples may serve to make the point clear.   If a child is born on
August 20th at 11:55 A.M. (five minutes to twelve), August 19, 12 M., is the
noon  previous birth.   If the child were born August 20th at  five  minutes
past 12:00 (0:05 P.M.), the previous noon would be that of August 20th,  and
we should use the Sidereal Time of that day,  recorded in the ephemeris,  as
our starting point.

                   RULE TO FIND THE SIDEREAL TIME AT BIRTH:

   To the Sidereal Time at noon PREVIOUS to birth (given in the  ephemeris),
we ADD:

   1.     A correction of 10 seconds for every 15 degrees of  Longitude  the
birthplace is WEST of Greenwich.

   2.     The  interval  between the previous noon and True  Local  Time  of
birth.

   3.    Correction of 10 seconds for every hour of interval.

   The sum of these is the Sidereal Time at birth;  but sometimes the sum is
more than 24 hours,  and as that is the ultimate length of a day,  we simply
subtract 24 hours and work with the remainder in such cases.

   When  you calculate a horoscope for a birthplace EAST of Greenwich,  sub-
tract THE CORRECTIONS FOR LONGITUDE instead of adding.

   We will try first to find the Sidereal Time of birth occurring in London,
England, Sept. 15th, 1912, at 2 A.M.

   Turn  to  the month of September in the ephemeris and note  the  Sidereal
Time recorded opposite Sept. 14, which is the noon previous to birth.   This
S.T.  is 11 hours, 32 min.  There is no correction for Longitude,  as London
is very close to Greenwich.  The interval from the previous noon, Sept.  14,
to birth,  Sept.  15 at 2 A.M., is 14 hours, and the correction for that in-
terval at 10 seconds per hour is 140 seconds, or 2 min. 20 sec.

These we tabulate and add:

   Sidereal Time at noon previous to birth,           H     M     S
Sept. 14, as given in ephemeris...................    11    32
   Correction of 10 sec. for every 15 deg.
West Long. of birthplace.  (London is 0 deg.
West).............................................    0     0      0
   Interval from previous noon (Sept. 14),
to True Local Time of birth (Sept. 15, 2 A.M.)....    14    0      0
   Correction of 10 sec. for each hour of
interval--140  sec.................................    0    2     20       
                                                       _____________
                                                      25    34    20
   We  subtract  the  circle of 24 hours............. 24     0     0        
                                                      ______________
   S.T. at birth..................................    1     34    20

   In calculations for places in England the correction for Longitude is  so
small that it is negligible,  but it makes quite a difference in America  or
Asia.

   Our next imaginary child is born in New York, July 23, 1912, at 5:56 A.M.
Standard Time, equals 6:00 A.M. True Local Time (See Lesson No. 3).   In the
ephemeris we see that the Sidereal Time on July 22nd is 7 hours,  59 minutes
at Greenwich.  But New York, the birthplace, is 74 degrees of Longitude WEST
of  Greenwich,  and  our  rule  requires  us  to  ADD  a  correction  of  10

[PAGE 239]

sec.  for  every  15  degrees of West Longitude;  74 divided by 15 gives  4,
with 14 deg. over., and 4 times 10 sec. gives 40 sec.; for the 14 deg.  over
we allow 9 sec., which is added to 40 making 49 sec.  We must add the inter-
val from previous noon to birth.  Previous noon is July 22nd, at 12 o'clock,
and from that time till birth,  6 A.M.,  July 23rd,  gives an interval of 18
hours.   Our last addition is 10 seconds for each of the 18 hours  interval,
180 sec., which equals 3 minutes, as there are 60 seconds in a minute.   Now
we will tabulate these figures properly, and add:

   Sidereal Time at noon previous to birth            H     M     S
(July 22), as given in ephemeris..................     7   59     0
   Correction of 10 sec. for each 15 degrees
W. Long.:.........................................               49
   Interval from previous noon to True
Local Time of birth...............................    18    0     0
   Correction of 10 seconds for each hour
of  interval--180  sec..............................   0    3     0
                                                      -------------
                                                      26    2    49
   As this is more than 24 hours we
subtract and work with the remainder..............    24    00   00
   S.T. at birth..................................     2     2   49

   We  next  calculate the Sidereal Time of a birth occurring at  New  York,
July 23rd,  at 9:56 P.M. Standard Time, 10:00 P.M. True Local Time (see Les-
son No. 3).  The previous noon is July 23rd, at 12 o'clock, and the Sidereal
Time given in the ephemeris for that day is 8 hours, 3 min.   The correction
for  Longitude of the birthplace is the same as in the previous example,  as
both are supposed to be born in New York.   The interval from previous noon,
July 23rd, to 10 P.M., the hour of birth, is 10 hours, and the correction of
10  seconds for each hour of that interval is 100 seconds,  or 1 minute,  40
seconds.  These figures we tabulate and add:

   Sidereal Time at noon previous to birth             H    M     S
(July 23), as given in the ephemeris..............     8    3     0
   Correction of 10 seconds for each 15 deg.
West Long. of birthplace..........................     0    0    49
   Interval from previous noon (July 23)
to True Local Time of birth.......................    10    0     0
   Correction of 10 sec. for each hour
of  interval--100  sec............................    00    1    40
                                                      -------------
   S.T. at birth..................................    18    5    29

   The addition of 49 and 40 seconds makes 89,  but as there are 60  seconds
in a minute we convert the 89 seconds to 1 minute and 29 seconds.

   Our  final  example will demonstrate the method of  calculating  Sidereal
Time  for  BIRTHPLACE IN EAST LONGITUDE; and to obtain both  comparison  and
contrast we will figure for a birth occurring at Madras, India, on July 23rd
1912,  at 10 P.M.  Madras is about 80 degrees East Longitude; New York is 74
degrees West, and as the birth times are the same, all the factors of calcu-
lation  will be identical,  but the SUBTRACTION of correction for  longitude
will give a different result.  We tabulate as follows:

   Sidereal Time at noon previous to birth            H     M     S
(July 23), as given in the ephemeris..............    8     3     0
   Less correction of 10 seconds for
each  15  degrees East Longitude....................  0     0    53
                                                      -------------
                                                      8     2     7
   Plus interval from previous noon
(July 23) to True Local Time of birth.............    10    0     0
   Correction of 10 seconds per hour
of  interval  from previous noon to birth...........   0    1    40
                                                      -------------
   S.T. at birth..................................    18    3    47

   Thus  you see that there is a difference in the Sidereal Time  at  birth,
between that of a child born in New York and that of another born in  Madras
at the time the clock pointed in each place to 10 P.M.; and though it is not
as great a variation as in the solar time,  it may bring a different  degree
of the Zodiac on the houses.

                                  QUESTIONS:
      
   1.    What is the use of Sidereal Time?

   2.    What is the noon previous to
         (a)  March 25, 5 A.M.?
         (b)  June 17, 1 P.M.?
         (c)  August 2, 1 A.M.?

[PAGE 240]

                           ASTROLOGY LESSON NO. 5:
      
   As  we have now learned to find the sidereal time at birth for any  place
on our planet,  we will proceed to cast the horoscope of an imaginary  child
born in New York,  July 23rd, 1912, at 6:00 A.M., True Local Time.   We fig-
ured the sidereal time of this birth to be 2 hours,  2 minutes,  and 49 sec-
onds.   Now you need a "Table of Houses."   (See our  SIMPLIFIED  SCIENTIFIC
TABLES OF HOUSES, which covers Latitudes from 0 to 66 degrees.  Students who
live  in the Southern Hemisphere are particularly grateful for these  tables
for  they are the only ones we know of that permit casting a  horoscope  for
south  latitude  by the same easy process as when the birthplace is  in  the
Northern   Hemisphere.    In  addition  there  is  a  46-page   list--double
column--giving the longitude and latitude of the principal cities and  towns
in the world,  including all county seats in the United States.   This saves
the trouble of looking up the longitude and latitude of the birthplace in an
atlas.)

   We  now look for the longitude and latitude of New York City in our  list
and find that it is located in latitude 41 North and longitude 74 West.

   The left-hand column on each page is marked "Sidereal Time", and you will
notice  that there are about 4 minutes between each sidereal  time  recorded
and  the one below it.   This is because a new degree of the zodiac  reaches
the Midheaven, or zenith, at each of those intervals.

   The Midheaven is the tenth house, and in the Tables of Houses the degrees
occupying  it at a given sidereal time are found in the columns  having  the
number 10 at the head.

   The degrees which occupy the cusp of the eleventh house are found in  the
column having the number 11 at the head,  and so on with the columns  headed
12, 2, and 3.

   The wide column headed "Asc." shows the degrees to be placed on the first
house or Ascendant.

   It  is worth while knowing and remembering that AT A GIVEN SIDEREAL  TIME
the same zodiacal degree is on the Midheaven in all northern latitudes, (AND
ITS OPPOSITE IN ALL SOUTHERN LATITUDES),  as the student can readily see  by
comparing the degrees in the columns marked 10.

   Even the numbers in the other narrow columns covering the 11th, 12th, 2nd
and 3rd houses often correspond,  but (MARK THIS CAREFULLY) the Ascendant is
always  different for every degree of Latitude.  As this is one of the  most
important points in the horoscope,  th student is cautioned to be very care-
ful to find the RIGHT SIDEREAL TIME IN THE RIGHT TABLE, for an error at this
point will throw the whole horoscope off and make it less valuable by  caus-
ing an error in the location of the houses.

   With  these preliminary remarks we will proceed to cast the horoscope  of
the child which we imagine was born on July 23rd, 1912,  at 6:00 A.M.,  True
Local Time,  in the city of New York.  In our last lesson we figured the si-
dereal time at that birth to be 2 hours,  2 minutes and 49 seconds.   We now
turn to the Tables of Houses for latitude 41 N.  and find the sidereal  time
nearest to 2 h.  2 m.  49 s.  on the left hand page in the left column,  the
fourth from the top:  2 h. 3 m. 8 s.

   Latitude  41 occupies the center of the page so we run our finger  across
the stop at the first column, where we see the figure 3.   At the top of the
column above it is the number 10,  and below that the sign of Taurus.   This
means  that the 3rd degree of Taurus is to be placed on the tenth  house  of
our  horoscope.   In the next column in line with our sidereal time  is  the
figure  9,  and at the top of the column the zodiacal sign Gemini  with  the
number 11 above, which mean that the 9th degree of Gemini is to be placed on
the  eleventh house of our map.   The figure next to the right in line  with
our sidereal time is 14;  above, at the head of the column are the sign Can-
cer and the number 12,  showing that the 14th degree of Cancer is to be  in-
scribed on the twelfth house.   Following our line toward the right we  next
see  the  numbers 13 and 31 in the wide column with the sign  Leo  and  Asc.
above.   This means that the 13th degree,  31st minute of Leo were ascending
at the time of birth, and we write this in the first house.  Still following
our line to the right we note the figure 5;  above,  the sign Virgo and  the
number 2 indicating that the 5th degree of Virgo is to be placed on the sec-
ond house of our horoscope.   In the last column next to the heavy  dividing
line between this division and the next is the figure 1.   The sign Virgo is
at the head of the column,  but in this case we do not heed that sign for in
the line above our finger there is the sign Libra; therefore  we  place  one  

[PAGE 241]

degree of Libra on the third house.

   This  is  a very important point which the student is requested  to  note
most carefully:  We always use the FIRST SIGN ABOVE OUR LINE,  regardless of
whether it is at the top of the column or in the middle.  If we had been us-
ing  the  figures in the next line above or any other line where a  SIGN  is
placed but NO DEGREES, we simply put down that sign and 0 degrees.   BE SURE
TO WATCH THIS!

   We  have  now obtained signs and degrees for six of our houses  from  the
Table of Houses;  the other six houses of our map we complete by filling  in
THE SIX OPPOSITE SIGNS.

   Taurus 3 is on the tenth house;  the opposite degree is Scorpio 3 and the
opposite house is the fourth; we therefore place 3 degrees of Scorpio on the
fourth house.

   Sagittarius 9 is opposite to Gemini 9 and the fifth house is opposite  to
the eleventh; we therefore place Sagittarius 9 on the fifth house.

   Capricorn 14 is opposite to Cancer 14 and the sixth house is opposite the
twelfth; we therefore place Capricorn 14 on the sixth house.

   Aquarius 13:31 is the opposite degree of Leo 13:31, and the seventh house
is the opposite of the first:  therefore we write Aquarius 13:31 on the sev-
enth house.

   Pisces  5 is the opposite of Virgo 5,  and the eighth house  opposes  the
second, therefore we write Pisces 5 on the eighth house.

   One degree of Aries is the opposite of one degree of Libra, and the ninth
house  is  opposite to the third,  so we write Aries 1 on the  ninth  house,
which completes the circle.

   As  we  have stated in previous lessons,  there are cases  where  certain
house are more than thirty degrees long in the northernmost and southernmost
latitudes, and other instances where they are much shorter.  When a house is
longer than 30 degrees,  a whole sign may happen to be placed in the  middle
thereof.  A sign thus placed is called INTERCEPTED, and so it becomes neces-
sary  after  we  have entered on a map the degrees given in  the  tables  of
houses, to COUNT THE SIGNS and see that they are all there.  If any has been
omitted, we simply write it between the two signs where it ought to be;  for
instance,  as the place of Gemini is between Taurus and Cancer,  we would so
write it in the horoscope where it is found missing:   similarly,  Capricorn
between Sagittarius and Aquarius, etc.

   A  count of the twelve houses on the map we have made shows that all  the
twelve  signs are present and our horoscope is therefore complete so far  as
the signs and house are concerned, but it remains to calculate the places of
the planets and enter them in their respective houses before the map is com-
plete.   This instruction we will reserve for another lesson,  however,  and
show by another example how the signs are placed on the houses.

   We will take the birth in New York City, July 23rd, 1912,  at 10:00 p.m.,
True Local Time, for which we calculated the sidereal time at birth to be 18
hours,  5 minutes, and 29 seconds.  The nearest sidereal time,  18 hours,  4
minutes,  and  22  seconds is found on the left hand page of  THE  TABLE  OF
HOUSES,  second  figure from the top.   Under latitude 41 is the  figure  1,
above are the sign Capricorn and the number 10,  which mean that 1 degree of
Capricorn is on the tenth house.  The next column has the figure 22;  Capri-
corn and 11 are at the top,  showing that the 22nd degree of Capricorn is to
be inscribed on the eleventh house.  19 in the next column,  Aquarius and 12
above,  show  that the 19th degree of Aquarius goes on  the  twelfth  house.
1:54 in the next wide column and Aries at the top indicate that the 1st  de-
gree  and 54th minute of Aries are ascending and are to be inscribed on  the
first  house.   13 in the next column, Taurus and the number 2  above,  show
that the 13th degree of Taurus must be placed on the second house.  9 in the
last  column,  Gemini and 3 at the top indicate that Gemini 9  goes  on  the
third house.

   We inscribe the opposite points on the opposite houses:   Cancer 1 on the
fourth,  Cancer 22 on the fifth, Leo 19 on the sixth, Libra 1:54 on the sev-
enth, Scorpio 13 on the eighth, and Sagittarius 9 on the ninth.  A count re-
veals the fact that the signs Virgo and Pisces are missing;  these are  then
inserted, making the horoscope complete so far.

                                 QUESTIONS:

   1.     What are the degrees opposite to Leo 20,  Aquarius 19,  Gemini 16,
and Taurus 20?

   2.    In Lat. 41, what is the nearest sidereal time to 14-31-5; 15-11-12;
23-31-1?

   3.    Calculate the signs and degrees for a birth, New York, September
15th, 1912, at 2:00 A.M., Standard Time.

[PAGE 242]

                           ASTROLOGY LESSON NO. 6:

   In lesson No.  5 we learned how to place certain SIGNS and degrees of the
zodiac  upon  the various cusps of the twelve HOUSES by  means  of  SIDEREAL
TIME.   In lesson No. 3 we learned how to calculate the GREENWICH MEAN TIME,
which  is  used for the purpose of figuring out the exact positions  of  the
planets  in  the horoscope.   We will now proceed with our work on  the  ex-
perimental horoscope for July 23rd,  1912, in which we found that the Green-
wich Mean Time was July 23rd, 10:56 A.M.

   Right here is a very important point to be noticed when calculating horo-
scopes for birthplaces east or west of England, namely, that by addition to,
or subtraction from,  the LOCAL TIME of birth, which is necessary to convert
it into Greenwich Mean Time,  THE DATE for which we are to calculate MAY  BE
CHANGED.

   This  day we call the G.M.T.  DAY,  and it begins on the NOON BEFORE  our
calculated Greenwich Mean Time, and lasts 24 hours until the NOON FOLLOWING.

   Thus, if a child is born in San Francisco on July the 23rd, at 8:00 P.M.,
we ADD 4 minutes for each of the 120 (approximate) degrees the birthplace is
west of Greenwich.   That makes a total of 8 hours, and gives us a Greenwich
Mean Time of 4:00 A.M.  But, mark this well:  it is 4:00 A.M.  ON JULY 24TH.
That  is to say, at the time when the clock of San Francisco pointed to 8 on
the  evening of July 23rd ,  the observatory clock in Greenwich  marked  the
hour of 4:00 in the morning of July the 24th.

   Let us now suppose that another child is born in a place 120 degrees east
of Greenwich at 4:00 o'clock on the morning of July 23rd.  In that case,  we
SUBTRACT  8 hours from the local birthtime,  and that gives us  a  Greenwich
Mean Time of 8:00 P.M., on July the 22nd.  In other words,  at the time when
this child was born and the clock in its birthplace marked 4:00 A.M., on the
morning  of July 23rd,  the observatory clock in Greenwich had only  reached
8:00 P.M.  on the 22ND OF JULY.  In that case, the G.M.T. Day would begin at
noon on the 22nd of July,  which is the noon BEFORE our calculated Greenwich
Mean Time.   It would extend to the following noon,  July the 23rd.   And we
would  have to calculate the motion of the planets in that interval  to  fit
them into the horoscope of the child.   But in the case of the child born in
San Francisco,  the G.M.T. Day would being at noon, on the 23RD OF JULY,  it
would  extend to noon JULY 24TH,  and the planets'  motion in that  interval
would be the basis of our calculations.  Therefore,  IT IS ALWAYS ABSOLUTELY
NECESSARY THAT THE DAY OF THE MONTH SHOULD BE STATED,  as well as the Green-
wich Mean Time calculated.  Thus we place special emphasis on July the 23rd,
10:56 A.M., in stating the Greenwich Mean Time of the horoscope we are work-
ing on.

   The  motion of each planet differs from that of every other  planet,  but
the Greenwich Mean Time is the same for them all,  and therefore a  constant
factor in the horoscope.   the method of correction consists in finding  how
far  each  planet travels between the Greenwich Mean Time of birth  and  the
NEAREST  noon (please mark this,  the NEAREST noon),  and adding its  motion
during this interval to the longitude of the planet given in the  Ephemeris,
if  the Greenwich Mean Time is P.M.;  but SUBTRACTING if the Greenwich  Mean
Time is BEFORE NOON.   This may be done by simple proportion,  and  students
who have become proficient enough to know how far it is safe to depend  upon
that quick but less accurate method, use it a great deal.  For the beginner,
however,  it is advisable to learn the more exact mathematical method,  even
if it may seem confusing at first.  To do this, it is necessary to learn the
use of logarithms, which are not so formidable as the name would seem to im-
ply.   A  table of these logarithms will be found on the last  page  of  our
Ephemeris for any year.

   This  table  is so divided that it answers equally well for  degrees  and
minutes of the ZODIAC and hours and minutes as applied to TIME, because,  as
we have already seen,  one degree in the zodiac has 60 minutes,  the same as
an hour on the clock-dial.   At the top of the outside narrow columns  which
are marked Min.  are the figures from 0 to 59;  these indicate minutes.   At
the  top is a line of figures from 0 to 23;  these are marked hours  or  de-
grees.

   This table may be used for two purposes:

   1.    To FIND THE LOGARITHM of a certain number of hours and minutes,  or
of degrees and minutes.

   2.     Given a certain logarithm,  the table enables us to FIND ITS VALUE
in hours and minutes or in degrees and minutes.

   Thus  by the use of this table we can convert a certain number  of  hours
and  minutes  into  their  corresponding  logarithm,  or  we  can  find  the

[PAGE 243]

equivalent of a logarithm in degrees and minutes,  or in hours and  minutes.
This  is accomplished by the simple method illustrated in the following  ex-
amples:

   Suppose  we wish to find the logarithm of 5 hours and 25 minutes.   Place
the top edge of an envelope on the table of logarithms so that the figure 25
in the two narrow outside columns is just above the top edge;  place the in-
dex  finger of the right hand on the figure 5 in the top line,  which  indi-
cates the hours or degrees.  Run that finger down the column, and just above
the  edge  of  the  envelope you will see the  number  6465.   This  is  the
logarithm of 5 hours and 25 minutes.

   Next we will find the logarithm of 10 hours and 47 minutes.   To do this,
we  place the top edge of our envelope just below the figures 47 in the  two
outside columns, and our index finger on the column No. 10.  We run our fin-
ger  down this column,  and just above the edge of our envelope appears  the
number 3475.   This is the logarithm of 10 hours and 47 minutes.  (Or 10 de-
grees and 47 minutes.)

   We will next try to FIND THE VALUE of the logarithm 5740.  To do this, we
must  search  in  the table for that logarithm or THE  NEAREST  THERETO.   A
search reveals the fact that it is placed in line with the number 24 of  the
minute column and in column No. 6 of the degrees.   Therefore,  the value of
logarithm 5740 is 6 hours and 24 minutes.

   We  will next find the value of logarithm 1.1627.   We find this  in  the
column marked 1 at the top,  and in line with No.  39 in the minute  column.
One degree (or hour) and 39 minutes is therefore its value.

   Having thus learned to use the table of logarithms,  we will apply it  in
the calculation of our present horoscope by finding the logarithm of the in-
terval  between Greenwich Mean Time and the NEAREST NOON.   Please  remember
the word NEAREST in this connection,  and do not make the mistake of finding
the logarithm of the Greenwich Mean Time itself.  It is the LOGARITHM OF THE
INTERVAL  from  that  time till noon that is wanted.   Long  experience  has
taught us the absolute necessity of drumming these things into the student's
mind, for it is easy to adopt a wrong method but difficult to understand af-
terwards how the horoscope is out of line with facts.

   As the Greenwich Mean Time is 10:56 A.M.,  on July 23rd,  the clock  must
still  travel 1 hour and 4 minutes before it reaches the noon mark  of  that
day.  Therefore this is obviously the nearest noon, and 1 hour and 4 minutes
is  the interval.   Placing our envelope so that 4 in the minute  column  is
just above the top edge and running our index finger down the column  marked
1  at  the top,  we note just above the edge of our envelope  the  logarithm
1.3522.  THIS IS THE LOGARITHM OF INTERVAL, and will be used in the calcula-
tion of all planets'  positions in this horoscope.  Thus we have disposed of
the preliminary calculations which APPLY TO ALL THE PLANETS,  and the neces-
sary correction may then easily be made for each of the individual  planets.
This matter we will take up in our next lesson.

                                  QUESTIONS:

   In  questions under I you must make correction of Standard Time  to  True
Local Time.

                                      I

   When birth occurs at Chicago, Longitude 88 West, on August 25th, 1912, at
8 P.M.:
         (a)  What is the Greenwich Mean Time?
         (b)  When does the G.M.T. Day begin and end?
         (c)  Which is the NEAREST noon?

         (d)   How long is the Interval from Greenwich Mean Time to NEAREST
         noon?
         (e)   What is the Logarithm of Interval?

                                     II

   When birth occurs at Leningrad, Longitude 30 East, 1 A.M.,  January 20th,
1912:
         (a)   What is the Greenwich Mean Time?
         (b)   When does the G.M.T. Day begin and end?
         (c)   Which is the NEAREST noon?
         (d)   How long is the Interval from Greenwich Mean Time to NEAREST
         noon?
         (e)   What is the Logarithm of Interval?

Continued with file "RC4014.TXT"

End of File

