Comments on: The Japanese Theorem http://divisbyzero.com/2009/06/02/the-japanese-theorem/ A blog about math, puzzles, teaching, and academic technology Wed, 17 Mar 2010 18:27:05 +0000 http://wordpress.com/ hourly 1 By: I need to learn how to say no « Division by Zero http://divisbyzero.com/2009/06/02/the-japanese-theorem/#comment-468 I need to learn how to say no « Division by Zero Mon, 03 Aug 2009 13:17:41 +0000 http://divisbyzero.com/?p=1623#comment-468 [...] heading to MathFest in a few days. I’m giving a talk on some generalizations of the Japanese Theorem (which I hope to blog about at some point), I am a panelist on the AWM panel called Family Matters, [...] [...] heading to MathFest in a few days. I’m giving a talk on some generalizations of the Japanese Theorem (which I hope to blog about at some point), I am a panelist on the AWM panel called Family Matters, [...]

]]> By: Carnot’s Theorem « Division by Zero http://divisbyzero.com/2009/06/02/the-japanese-theorem/#comment-419 Carnot’s Theorem « Division by Zero Mon, 22 Jun 2009 21:06:14 +0000 http://divisbyzero.com/?p=1623#comment-419 [...] I wrote about the Japanese Theorem. If you were unsuccessful in proving this beautiful theorem, try again using Carnot’s [...] [...] I wrote about the Japanese Theorem. If you were unsuccessful in proving this beautiful theorem, try again using Carnot’s [...]

]]> By: Carnival of Mathematics #53 « The Math Less Traveled http://divisbyzero.com/2009/06/02/the-japanese-theorem/#comment-383 Carnival of Mathematics #53 « The Math Less Traveled Fri, 05 Jun 2009 22:35:02 +0000 http://divisbyzero.com/?p=1623#comment-383 [...] but not least, Dave Richeson at Division by Zero has some beautiful GeoGebra applets for playing with the Japanese Theorem, which relates the radii of circles inscribed in triangulations of cyclic [...] [...] but not least, Dave Richeson at Division by Zero has some beautiful GeoGebra applets for playing with the Japanese Theorem, which relates the radii of circles inscribed in triangulations of cyclic [...]

]]> By: Short talks at conferences « Division by Zero http://divisbyzero.com/2009/06/02/the-japanese-theorem/#comment-381 Short talks at conferences « Division by Zero Thu, 04 Jun 2009 19:37:50 +0000 http://divisbyzero.com/?p=1623#comment-381 [...] case you’re wondering, I’ll be speaking about generalizations and consequences of the Japanese Theorem. Or as much as I can in only 10 [...] [...] case you’re wondering, I’ll be speaking about generalizations and consequences of the Japanese Theorem. Or as much as I can in only 10 [...]

]]> By: Dave Richeson http://divisbyzero.com/2009/06/02/the-japanese-theorem/#comment-380 Dave Richeson Thu, 04 Jun 2009 01:59:24 +0000 http://divisbyzero.com/?p=1623#comment-380 It is a cool problem. Be warned, Kate, that in Hidetoshi and Rothman’s book they have chapters titled Easier Temple Geometry Problems, Harder Temple Geometry Problems, and Still Harder Temple Geometry Problems. This problem is in that third chapter. It is tricky to prove from basic geometric results, but if you happen to know this geometric theorem http://cli.gs/UBZX06 (I've shortened the URL in case you didn't want the proof "spoiled"), it has a quick proof. It is a cool problem. Be warned, Kate, that in Hidetoshi and Rothman’s book they have chapters titled Easier Temple Geometry Problems, Harder Temple Geometry Problems, and Still Harder Temple Geometry Problems. This problem is in that third chapter.

It is tricky to prove from basic geometric results, but if you happen to know this geometric theorem http://cli.gs/UBZX06 (I’ve shortened the URL in case you didn’t want the proof “spoiled”), it has a quick proof.

]]> By: jedward706 http://divisbyzero.com/2009/06/02/the-japanese-theorem/#comment-379 jedward706 Wed, 03 Jun 2009 13:42:19 +0000 http://divisbyzero.com/?p=1623#comment-379 I love it -- thank you -- from a math tutor always interested in new (to me) constructions I love it — thank you — from a math tutor always interested in new (to me) constructions

]]> By: Kate http://divisbyzero.com/2009/06/02/the-japanese-theorem/#comment-378 Kate Wed, 03 Jun 2009 01:30:28 +0000 http://divisbyzero.com/?p=1623#comment-378 That is neat. I think I will add proving it to my summer todo list. Thank you. That is neat. I think I will add proving it to my summer todo list. Thank you.

]]>