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new proofs

new proofs of known geometry theorems 

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Here are gonna be collected (hopefully) new proofs to well known geometry theorems (mostly by Greeks), posted in the fb group Romantics of Geometry (Ρομαντικοί της Γεωμετρίας).


Each theorem will have it's own pdf, and every solution shall be in English (EN) & Greek (GR), unless mentioned otherwise.


Milton Donaire Peña

2 comments:

  1. In the convex pentagon ABCDE following equalities holds: ∠ABD = ∠ACE,∠ACB =
    ∠ACD,∠ADC = ∠ADE and ∠ADB = ∠AEC. The point S is the intersection of the
    segments BD and CE. Prove that lines AS and CD are perpendicular.

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    Replies
    1. we do not collect random problems here , try aops on any FB math groups

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