Recent content by SonyDvDPro

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    Undergrad How Can We Prove Quadrilateral Similarity Through Circle Intersections?

    Given a quadrilateral ABCD, Prove that the quadrilateral formed by the intersections other than the vertices A, B, C & D of the circles with diameter AB, BC, CD & DA is similar to the quadrilaterar ABCD. What is the relation of similarity?
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    Graduate How can we prove that A', B', and C' are collinear in triangle ABC?

    1 ) Let P be an arbitary point in the plane of triangle \vartriangle ABC , let A' be a point on BC such that A'B \bot PA , Define B' , C' in the same way,P rove that A' , B' ,C' are collinear.
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    Limiting the Expression of Tangent and Sine

    Find \mathop {\lim }\limits_{x \to 0} \frac{{\tan (nx) - n\tan (x)}} {{n\sin (x) - \sin (nx)}}