Ola Pessoal, Sauda��es a Todos ! A Mensagem abaixo seguiu para a LISTA OBM-L sem nenhum comentario e em outro idioma por falha minha no momento de encaminha-la para outras pessoas. Pe�o desculpas a todos.
Paulo Santa Rita 5,1840,130602 >From: "Paulo Santa Rita" <[EMAIL PROTECTED]> >Reply-To: [EMAIL PROTECTED] >To: [EMAIL PROTECTED] >Subject: [obm-l] Geometry Problem >Date: Thu, 13 Jun 2002 20:11:17 +0000 > > > >Hi. Firstly, this is not homework, I actually want this for a bit of >software I am writing. >Secondly, while I know it would be better if I worked it out myself, I'd >rather get the solution than not, even at the price of missing the >opportunity to brush up my geometry skills. > >I am attempting to lay out points on the Poincare projection of the >hyperbolic plane. I have done up a diagram at >http://www.users.bigpond.com/pmurray/Math1.gif > >I have a unit circle C, with a centre at O. >I have a radius of that circle r. >I have another circle D, that intersects C at right angles at a point P and >that intersects the radius R at point Q. > >Angle POr we shall call theta. >Angle Dr we shall call phi. (that is, the angle between r and the tangent >to >D at Q). >Distance OQ we shall call d. > >1 - given phi and d, what is theta? >2 - given phi and theta, what is d? > >That's all I think I need, although if you feel like working out phi from >theta and d, feel free. > >Please reply to me at [EMAIL PROTECTED] _________________________________________________________________ Envie e receba emails com o Hotmail no seu dispositivo m�vel: http://mobile.msn.com ========================================================================= Instru��es para entrar na lista, sair da lista e usar a lista em http://www.mat.puc-rio.br/~nicolau/olimp/obm-l.html O administrador desta lista � <[EMAIL PROTECTED]> =========================================================================
