Hi Ouranos, do you remember you once mentioned the relationship between the Arabic Parts and the Midpoints?

It wasn’t until recently that I began to seriously contemplate your words, and I’ve made some discoveries.

Using this chart as an example, it is a night chart, and the calculation formula for the Lot of Fortune is ASC + SUN - MOON. This essentially means that SUN/ASC = MOON/Lot of Fortune. It’s clearer when compared using a Dial chart. The derivation from the formula is also quite simple: ASC + SUN = MOON + Lot of Fortune. In mathematics, if we divide both sides of an equation by the same non-zero number, the value of the equation remains unchanged.

If we connect these four points, we can form an isosceles trapezoid. In reality, an isosceles trapezoid has strong stability, and the meaning of the midpoint suggests that the four points are in a harmonious relationship, maintaining proportional distances.



Then I began to contemplate the significance of this isosceles trapezoid.

For example, in a lost item chart, the Sun and Moon are significant as they represent light sources, which are essential for visibility when trying to find lost items. However, I also pondered that visibility is not necessarily a condition for finding lost items. Sometimes, it may be someone else who picks them up and returns them to us, or an escaped animal that finds its way back on its own (without being discovered by us).

Therefore, I think the meaning of the Sun and Moon might be that we are able to perceive what exists around us through our own eyes (Ascendant)?

Do you or anyone else have any thoughts on this? Thank you!

Hello Wei,

The non-zero point you mention is the Aries Point.
And when you connect the four points, it is called a 'Planetary Picture'
Ebertin has the formula A/B=C which is a sensitive point, occupied.
The Rulebook has A+B-C but the real 'planetary picture' should be read as A+B = C + Aries Point. Divided by 2,4,8,16 depending on the wheel you choose.
Everything in our chart can be relatable to a symmetry. Kepler would call it 'Harmonices Mundi'.
Take a look at what the POF does at sunrise and sunset and compare it to when the Sun culminates and anti-culminates, relative to the angular distance between the Sun and the Moon.
Fortuna is here and suddenly it jumps somewhere else.
Why is FOR always conjunct the Moon at sunrise? It teams up with the Moon to mirror the Sun and the ASC. I compare this to making your lunch for the day before going out into the world. Or remembering where you are coming from. And what are going to ripen during the day when the Moon jumps somewhere else at sunset.

Ouranos

Hi Ouranos,

Thank you, your responses are always very enlightening.

I feel like my astrological model is beginning to take shape.

On one hand, it involves the Earth’s two distinct movements—its orbit and rotation—and the different coordinate systems: the ecliptic, equatorial, and horizon.

On the other hand, it focuses on the geometric patterns, degrees, and relationships between various factors.

By combining these models with common social experience and general knowledge, I feel it’s truly possible to use this astrological framework to predict the direction of future events to some extent.

hi wei

because the search feature on skyscript is broken the further back you go, i do seem to recall this conversation as one that i had... i was pointing out an article by david cochrane on arabic parts sharing much the same information as midpoints.. here is the article from 2005 by cochrane.. now maybe ouranos was involved in the conversation too and i am sure they will comment as they usually do, lolol..

https://www.astrosoftware.com/ArabicParts.htm

Thanks for the link James,
I did not have this article. But there is a similar one by Gary Christen on Astrolabe https://alabe.com
Planetary Pictures: An Introduction by Gary Christen

Cheers,
Ouranos

thanks ouranos

here is a direct link - pdf to the article by gary christen that you cite..

https://www.alabe.com/text/Christen-SymAst2.pdf

Hi Ouranos,

I have started studying symmetry in astrology. Antiscia and contra-antiscia, as well as parallels and contra-parallels, are classic examples of symmetry in astrology.

I’m very glad to have the opportunity to discuss and learn together with all of you, Professor/Friend. Today, we just resolved the issue of planets being in a conjunction in terms of ecliptic longitude (within the same zodiac sign) while actually being in a contra-parallel. This situation only occurs near Aries and Libra, as these are the zodiac signs where the intersections of the ecliptic and the Earth's equator lie.

For example:

Using the ephemeris function in Astro Gold, I generated data for Washington, D.C. (EST), starting from midnight on January 1, 2024, with a duration of 10 years and intervals of 1 day. Then, by sorting the data, I found that on July 16, 2025, at midnight, the Moon was at 0°15’56” Aries, with a declination of 0°57’45” North, and Saturn was at 1°55’36” Aries, with a declination of 1°20’57” South.

Next, I used a duration of 1 day and intervals of 1 second to find the optimal value for that day: at midnight, the Moon was at 0°15’56” Aries, with a declination of 0°57’45” North, and Saturn was at 1°55’36” Aries, with a declination of 1°20’57” South. (This process was actually unnecessary since the Moon cannot retrograde, and Saturn was not retrograde either.)

The absolute difference in longitude between the Moon and Saturn was 1°39’40”, and the absolute difference in declination was 0°23’12” — almost half a degree!

I think that with this method, spending more time and using a faster processor could yield additional data. However, I am still unsure how to use mathematical formulas to calculate the optimal values.