http://tech.groups.yahoo.com/group/Hyacinthos/ We discuss themes on Triangle Geometry Fri, 18 Jul 2008 21:42:04 GMT Cosmin Pohoata http://tech.groups.yahoo.com/group/Hyacinthos/message/16570 http://tech.groups.yahoo.com/group/Hyacinthos/message/16570 Dear friends, Please ignore my previous message. The correct result is: Let d_a, d_b, d_c be three parallel lines through the vertices A, B, C of a given Fri, 18 Jul 2008 15:03:25 GMT Cosmin Pohoata http://tech.groups.yahoo.com/group/Hyacinthos/message/16569 http://tech.groups.yahoo.com/group/Hyacinthos/message/16569 Dear friends, Here is a slightly more general construction of the Parry reflection point, starting from three arbitrary parallel lines through the vertices of Thu, 17 Jul 2008 07:37:56 GMT Francois Rideau http://tech.groups.yahoo.com/group/Hyacinthos/message/16568 http://tech.groups.yahoo.com/group/Hyacinthos/message/16568 Dear friends I feel like to begin some summer novel about this problem but before to begin, I will give you some new results obtained as special cases of this Wed, 16 Jul 2008 11:23:04 GMT garciacapitan http://tech.groups.yahoo.com/group/Hyacinthos/message/16567 http://tech.groups.yahoo.com/group/Hyacinthos/message/16567 What name you consider more appropriate for Acrhimedes' game? Wed, 16 Jul 2008 08:31:46 GMT Francois Rideau http://tech.groups.yahoo.com/group/Hyacinthos/message/16566 http://tech.groups.yahoo.com/group/Hyacinthos/message/16566 Dear Alexey Thank for your nice remarks. All these results can be proved in the same way using involution. Friendly Francois On Wed, Jul 16, 2008 at 8:02 AM, Wed, 16 Jul 2008 07:05:20 GMT Alexey.A.Zaslavsky http://tech.groups.yahoo.com/group/Hyacinthos/message/16565 http://tech.groups.yahoo.com/group/Hyacinthos/message/16565 Dear Francois! I proved general theorem. Let X, Y correspond to angles x, y, where x+y=2t=const. Consider two points U, V corresponding to angles t and Wed, 16 Jul 2008 06:55:49 GMT Jean-Louis Ayme http://tech.groups.yahoo.com/group/Hyacinthos/message/16564 http://tech.groups.yahoo.com/group/Hyacinthos/message/16564 Dear Hyacinthists and sorry for my last message, Feuerbach's theorem: wrt triangle ABC, the incircle is tangent to the nine point circle at Fe. Let 0 be the Wed, 16 Jul 2008 05:56:43 GMT Alexey.A.Zaslavsky http://tech.groups.yahoo.com/group/Hyacinthos/message/16563 http://tech.groups.yahoo.com/group/Hyacinthos/message/16563 Dear Francois! Thank you for this prove. I can propose two another properties of Kiepert hyperbola. If X and Y correspond to angles t and $\pi/2-t$ then XY Tue, 15 Jul 2008 20:22:47 GMT Francois Rideau http://tech.groups.yahoo.com/group/Hyacinthos/message/16562 http://tech.groups.yahoo.com/group/Hyacinthos/message/16562 Dear Alexey Nice result new for me but I would not be surprised to learn that it is known for a long time for everything which can be said on Kiepert Tue, 15 Jul 2008 16:25:05 GMT Jean-Louis Ayme http://tech.groups.yahoo.com/group/Hyacinthos/message/16561 http://tech.groups.yahoo.com/group/Hyacinthos/message/16561 Dear Hyacinthists, Feuerbach's theorem: wrt triangle ABC, the incircle is tangent to the nine point circle at Fe. Let 0 be the circumcircle of ABC and A' be Tue, 15 Jul 2008 15:46:42 GMT http://tech.groups.yahoo.com/group/Hyacinthos/message/16560 http://tech.groups.yahoo.com/group/Hyacinthos/message/16560 Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the Hyacinthos group. File : /Brocard Tue, 15 Jul 2008 15:30:19 GMT Francois Rideau http://tech.groups.yahoo.com/group/Hyacinthos/message/16559 http://tech.groups.yahoo.com/group/Hyacinthos/message/16559 Dear friends I am happy for there is no typos in my previous post but of course there is one in the text of the png.file on Brocard motions that I have sent to Tue, 15 Jul 2008 14:24:16 GMT http://tech.groups.yahoo.com/group/Hyacinthos/message/16558 http://tech.groups.yahoo.com/group/Hyacinthos/message/16558 Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the Hyacinthos group. File : /Brocard Tue, 15 Jul 2008 14:15:11 GMT Francois Rideau http://tech.groups.yahoo.com/group/Hyacinthos/message/16557 http://tech.groups.yahoo.com/group/Hyacinthos/message/16557 Dear friends This perspectivity problem in Steve memory I give you on chowchows , to say uniform motions a(t), b(t), c(t) on the sides BC, CA, AB of ABC is Tue, 15 Jul 2008 11:42:31 GMT Alexey.A.Zaslavsky http://tech.groups.yahoo.com/group/Hyacinthos/message/16556 http://tech.groups.yahoo.com/group/Hyacinthos/message/16556 Dear colleagues! Is next fact known? Let X, Y be two points of Kiepert hyperbola corresponding to angles t and -t. Then the line XY pass through the Lemoine