Problema lui Napoleon

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alex2008
Leibniz
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Joined: Sun Oct 19, 2008 3:23 pm
Location: Tulcea

Problema lui Napoleon

Post by alex2008 »

Fie triunghiul oarecare \( ABC \) si triunghiurile echilaterale \( ABC\prime ,\ AB\prime C ,\ A\prime BC \) cu centrele de greutate \( G_1 ,\ G_2 ,\ G_3 \) . Sa se arate ca :
1)dreptele \( AA\prime ,\ BB\prime ,\ CC\prime \) sunt concurente .
2)\( \Delta\ G_1G_2G_3 \) este echilateral .
. A snake that slithers on the ground can only dream of flying through the air.
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