apollonius

For example the Apollonius Problem [1][2] of 3 tangent circles/lines has 2^3 = 8 solutions.

There’s like 7-800 years between Apollonius and the construction of that church.

> In this sense, the Apollonius perpendicular bisector construction appears to be sensitive to the errors of compass placement.

Given how old the GB variations are compared to when they found success, it's like Argonautica by Apollonius of Rhodes winning a best seller prize in 2020.

I find it improbable that we would have such mathematicians as Archimedes and Apollonius around 250BCE, then roughly nothing for 750 years, and then the Hagia Sophia.

Your post goes a lot farther, but the Pappus Chains reminded me of the Method of Apollonius that I have used to generate nested yinyan symbols with JavaScript.

I'm sure Apollonius of Perga, Newton, Euler, Gauss, Hibert, Poincare, and countless others are rolling in their graves.

> Those attributed to Jesus—described in language nearly identical to accounts of the Greek mystic and holy man Apollonius of Tyana, say—are neither more nor less convincing than others.

We know almost nothing about Euclid: we can figure out when he was active to within a century or two, and according to Pappus writing 500 years later some of his students/followers lived in Alexandria where Apollonius studied with them.

To be clear, I am not trying to claim that one needs the kind of mathematicians produced by Apollonius to build a large dome but rather that a society capable of continuing that kind of technical ability for so long ought to have also been supporting the continuation of technical mathematics.

Well "Life of Apollonius of Tyana" was written in the early 200ADs, approximately 100 years after the last Gospel was written.

For "Fake Hyperbolic Plane..." [1] I can suggest looking up the Method of Apollonius, in order to make the circles all touch without overlapping or gaps.

Aristotle), but here's a perhaps similar case: I have a volume from a "great classics" series with the surviving works of Archimedes, Apollonius, and Nicomachus -- three ancient "mathematicians".

Follow that up with Apollonius, Ptolemy, some Descartes, and then Newton, and you have a junior high and high school curriculum in mathematics that would give students a real advantage over the rote "here is what Disembodied Authority says you should know" learning.

Among the known works, some of Apollonius’ work was not really improved upon until Riemann over 2000 years after his death.

I look forward to the game version of my sophomore year -- Apollonius' conic sections and Ptolemy's astronomy.

Start with Euclid's _Elements_, and then move onto Archimedes' short books on levers and floating bodies, Apollonius's wonderful treatise on conic sections, and Ptolemy's _Almagest_.