human beeings on earth and their relation to the sky
the earth as part of the Solar system in relation to the Solar system
This analogy has several consequences
Folgerungen
d=y
angles = Kardinalpunkte
mc höchster, ic niedrigster punkt
wie begründet witte den as?
Analogon erde zu sonnensystem wie mensch zu Erde
Earth Horoscope and its angles
Ableitung Quadrat und Opposition
TODO Beispielchart mit zwei aspekten P auf planeten
Opposition and square related to the angles
Midpoints
In the constellation
MC at 0 Virgo
Venus at 28 Sagittarius
Saturn at 2 Taurus
we find that MC = Ve/Sa. This native will face obstacles in love life.
MC = Ve/Sa
Reflection Points
Definition
The reflection point R of a point p relative to a point q of the zodiac is given by the formula
R = q + q - p = 2q - p
This is an axis reflection relative to the point q. Reflection relative to the point q + 180 is identical.
Let the Sun be at 10 Sagittarius and find the reflection point relative to the Moon which is in 25 Capricorn.
We find that R = Moon + Moon - Sun = 295 + 295 - 250 = 340 = 10 Pisces
Reflection Point of Sun in 10 Sag relative to Moon in 25 Aq is 10 Pisces
Antiscia
Definition
The Antiscium is the reflection point relative to the Earth Meridian.
This means that the Antiscium Ant of a planet p is
Ant = Cancer + Cancer - p = 180 - p
Let Mercury be in 10 Taurus. The Antiscium is therefore 90 + 90 - 40 = 140 = 20 Leo.
Antiscium of Mercury in 10 Taurus is 20 Leo
Relation of Midpoints and Reflection Points
Midpoints of two points are the geometrical counterpart of reflection points.
There are always two midpoints for a pair of given points.
Let Sun be at 10 Sagitarius, Moon at 25 Capricorn and Mars at 10 Pisces.
Midpoint and Reflection points are counterparts
Therefore
Moon is the midpoint of Sun and Mars, i.e. Mo = Su/Ma
The opposite point 25 Cancer is the second midpoint of Sun and Mars
Mars is the reflection point of Sun relative to the Moon
The Sun is the reflection point of Mars relative to the Moon
Or written as formula
Mo + Mo = Su + Ma
Mo + 180 + Mo + 180 = Su + Ma
Ma = Mo + Mo - Su
Su = Mo + Mo - Ma
The first line of the formula above can be writte different, but this is dangerous because there are always two midoint of a pair of points: the direct midpoint (i.e. the geometrical shortest) and its opposite.
Moo = ( Ma + Su ) / 2
Aspects and Gradkreis Calculus
Western astrology uses a lot of aspects that are motivated by division of the circle by integer numbers.
Examples:
Aspect
Divisor
Degrees
Conjunction
1
0 = 360
Opposition
2
180
Trine
3
120
Square
4
90
Quintile, Biquintile
5
72 and 144
Semi/ Sesquiquarter
8
45 and 135
Sextile
6
60
Septile, Biseptile, Triseptile
7
360/7, 720/7, 1080/7
Semisextile
12
30
Uranian astrology uses only powers of the number two, i.e. 1, 2, 4, 8 etc. These aspects are motivated by the
Earth Horoscope and related midpoints.
Aspect
Divisor
Formula
Conjunction
1
p = q
Opposition
2
p = q + Libra
Square
4
p = q +- Cancer
Semisquare/Sesquisquare
8
p = q / Cancer or p = q / Capricorn
Semiquarter in 15 Ta = Aries / Cancer is the midpoint of two angles of the Earth Horoscope
Higher aspects whose order is a power of 2 are midpoints of the angles of the Eartch Horoscope.
22:30 Capricorn is the midpoint of Cap/15 Aq.
Special Signification of Trines and Sextiles in Uranian Astrology
Trines and Sextiles are treated as minor aspects. But they get special importance if two of them are combined.
Let
MC be at 9 Sagittarius
Ascendant at 9 Aquarius
Moon at 9 Aries
We get mutual midpoint relations
A = MC/Moon or A+A = MC + Moon
Moon = MC/A or Moon + Moon = MC + A + Libra
MC = A/Moon or MC + MC = A + Moon + Libra
Two sextiles and their related mipoint matchings
Das heisst: es entsteht dadurch eni sensitiver Punkt, der ausgelöst werden kann.
geometrische Interpretation
Symmetrien
gleichsetzung der Bewegungen: Erde um die Sonne und Erde um sich selbst.
Bedeutung von As und MC
MC Midheaven
As Begegnungen
Uranier
Welche Objekte werden betrachtet und deren Motivation
Reihenfolge der Objekte