Ahmet ÇETİN (@ahmet____cetin) Twitter Tweets • TwiCopy

Ahmet ÇETİN

@ahmet____cetin

a year ago

Çok yakında sizlerle...🧡🧡🧡

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Ahmet ÇETİN

@ahmet____cetin

a year ago

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Ahmet ÇETİN

@ahmet____cetin

a year ago

From Romantics of Geometry Problem&Solution

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Let ABC be a triangle with circumcenter O, incenter I. BI∩(ABC)=E, CI∩(ABC)=D, DD∩EE=F. Let M is the midpoint of arc BAC and MI∩(ABC)=K. i. Prove that K,O,M,F are concyclic. ii. Prove that K,A,F are collinear.

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Ahmet ÇETİN

@ahmet____cetin

a year ago

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Ahmet ÇETİN

@ahmet____cetin

a year ago

*corrected

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Ahmet ÇETİN

@ahmet____cetin

a year ago

Let ABC be a triangle with incenter I and D,E,F are tangent points. Let DI∩EF=K. The line passing through point A and parallel to side BC intersects BK and CK at points P and R, respectively. ●Prove that D,E,P and D,F,R are collinear. ●Prove that AR=AF=AE=AP.

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Ahmet ÇETİN

@ahmet____cetin

a year ago

Let Q be the isogonal conjugate of a point P with respect to a triangle ABC. Prove that X is the isogonal conjugate of a point Y with respect to a triangle ABC.