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New posts in Euclidean Geometry
$a,b,c,d$ are complex numbers corresponding to points $A,B,C,D$ lying on a circle with origin as center,and chord $AB⟂CD$. Find $ab+cd$
May 09, 2021
Show this quad is cyclic
May 09, 2021
An application of the Casey's theorem.
May 09, 2021
Is Steiner ellipse defining a unique triangle?
May 09, 2021
In quadrilateral $ABCD$, $\angle BAC=\angle CAD=2\,\angle ACD=40^\circ$ and $\angle ACB=70^\circ$. Find $\angle ADB$.
May 09, 2021
Suppose $\angle BAC = 60^\circ$ and $\angle ABC = 20^\circ$. A point $E$ inside $ABC$ satisfies $\angle EAB=20^\circ$ and $\angle ECB=30^\circ$.
May 09, 2021
To show the center of homothety of the biggest and smallest circle lies in the common tangent over T
May 09, 2021
How do you prove $\pi =\sqrt{12}\sum_{n\ge 0}\frac{(-1)^n}{3^n(2n+1)}$?
May 09, 2021
CGMO 2020: Prove that $X, P, Q, Y$ are concyclic.
May 09, 2021
Given $\triangle ABC$ can we construct point $O$ such that $AO\times BC=BO\times AC=CO\times AB$?
May 09, 2021
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