%0 Journal Article
%T The Circle-Apollon¡¯s Theorem, Equanimous Inverses
%A Emmanuel Cadier Anaxhaoza
%J Open Access Library Journal
%V 11
%N 10
%P 1-15
%@ 2333-9721
%D 2024
%I Open Access Library
%R 10.4236/oalib.1112305
%X Soon, the edition will have the challenge of publishing the prompts of the authors. The theorem of Thales and the theorem of Pythagoras do not escape the rule, and they seem to have been preceded by several millennia. Asking the true paternity of those geometrical realities makes it possible to show that&nbsp; <em>a * b = R<sup>2</sup></em> according to the terms defined by the Theorem of the Circle or Theorem of Apollo stating the constant product of two segments of perpendicular tangents for a given circle. The rigorous demonstration, especially its reciprocal that allows a new mathematical way of drawing the circle, will be mastered by the Artificial Intelligence of Analytical Geometry. We show its discovery as well as the oddity of the equanimous inverses which require the Golden Ratio as the first of them.
%K Pythagoras-Thales Theorem
%K Computational Cartesian Analytic Geometry
%K IM 67118
%K Plimpton 322
%K Pythagoras Reality
%K Pythagoras Theorem
%K Thales  Reality
%K Thales Theorem
%K Snefru Papyrus
%K Trigonometry
%K Emmanuel¡¯s Theorem
%K Apollon¡¯s Theorem
%K Shiva¡¯s Theorem
%K Equanimous Inverses
%K Golden Ratio
%K Reefering
%K Quadrature du Cercle
%K Chord Quest
%K New Way to Draw the Circle
%K Les 2 Brins de Tangentes Perpendiculaires
%K Administrative Theorem
%U http://www.oalib.com/paper/6838734