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CNALBEL
Posts:
1
Registered:
12/6/04


morlet's theorem ?
Posted:
Nov 23, 1997 12:27 AM


A few years ago, i was asked to prove the following statements during an oral exam (i failed in proving it ..but passed the exam!). i hope you'll understand the statements i havent a perfect english.
1  take a ABC triangle. 2  divide each angle in three equal angle with 2 lines. 3  1 line of angle A meets one of angle B in a point M  the second line of angle A meets one of angle C in a point N  the second line of angle B meets the second line of angle C in a point O Prove that MNO is an equilateral triangle (MN=NO=OM)
Was that clear enough?
In french : Les trissectrices des angles d'un triangle ABC se coupent en des points MNO. On considÃÂ¨re l'intersection des trisectrices les plus proches de chaque cotÃÂ© du triangle. Montrez que MNO est un triangle ÃÂ©quilatÃÂ©ral.
F. LEBLANC



