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Interesting Earth, Sun and Moon ខែ​មីនា 31, 2009

Posted by psvjupiter in គណិតវិទ្យា.
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3 comments

sun

 (A B C is the intersection point of external tangent line of the each pair of circles)

ចូរអ្នកបង្ហាញថាA ,B, C រត់ត្រង់គ្នា។

Simply prove that A, B , C is collinear.

 
Hint 1 : It is just a geometry problem that applied Menelaus theorem. Menelaus theorem is what? Check wiki. 

Hint 2: You may choose the triangle to apply menelaus to be the center of each three circle.