https://ronreynolds.com/wiki/ 2026-05-03T14:32:24+00:00 https://ronreynolds.com/wiki/ https://ronreynolds.com/wiki/lib/exe/fetch.php?media=wiki:dokuwiki.svg text/html 2025-12-01T22:05:07+00:00 Anonymous (anonymous@undisclosed.example.com) https://ronreynolds.com/wiki/doku.php?id=math:geometry&rev=1764626707&do=diff Polygons Regular Polygons * polygons inscribed within a circle of radius R with equal side length s * each side also spans an arc of angle Θ * we can easily calculate the side s via General Pythagorean * c2 = a2 + b2 - 2ab * cos(Θ) where c is the side opposite Θ text/html 2025-12-01T21:09:54+00:00 Anonymous (anonymous@undisclosed.example.com) https://ronreynolds.com/wiki/doku.php?id=math:trigonometry&rev=1764623394&do=diff Generalized Pythagorean Equation given: triangle with an angle C with adjacent sides a and b and opposite side c. * bisect b (or a) at right angle with line passing thru opposite angle * works easier with obtuse angles such that intersection is internal to triangle - otherwise you end up hanging on the outside of the triangle which feels awkward.