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RE: [obm-l] 2 questoes do IME
Sauda,c~oes,
Caro Sergio,
No link do JP abaixo na p�gina indicada vc vai
ver a solu��o para o locus dos c�rculos.
[]'s
Lu�s
===
Caro Lu�s,
I am glad to hear from you again,
>Let C1 and C2 be two exterior circles with centers
>O1 and O2 and radii R1 and R2. Determine the locus
>of the centers of the circles that cut C1 and C2
>with antipode points.
This is a basic fact that appears as a corollary in Julius Petersen's
great work
M�thodes et th�ories pour la r�solution des probl�mes de
constructions g�om�triques (1880)
This corollary can be seen in page 13 of my paper
http://garciacapitan.auna.com/jp/jp01-55.zip
and problem 52 at
http://garciacapitan.auna.com/jp/htm/052.htm
Best regards,
Francisco Javier Garc�a Capit�n
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