Ive been looking and looking and cant find where this proposition is found in euclids elements. It is re-worded to sound more simple. Please help.
"If AB is a chord of a circle with center O, and P is a point
on the lesser arc determined by the chord, then
1/2 angle AOB + angle APB equals two right angles."
2007-01-30 02:36:27 · 3 answers · asked by steven c 2 in Science & Mathematics ➔ Mathematics
I do not know the precise location of this in Euclids elements, but the best reference source I can recommend to you to find it is in the recent book by Hawking, "God Created the integers". The book is the best review of mathematics I have ever encountered, and has a chapter devoted to Euclid...
2007-01-30 02:59:07 · answer #1 · answered by jpturboprop 7 · 1⤊ 0⤋
I'm not sure myself. Try Book 3, about circles, maybe proposition 31.
In the sources, links for two online editions of Euclid's Elements.
2007-01-30 11:35:54 · answer #2 · answered by jcastro 6 · 0⤊ 0⤋
I do not believe this is one of Euclid's propositions. I have read his Elements extensively and have never seen it. Has someone told told you that it is?
2007-01-30 12:24:44 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋