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3
questions
9
votes
3
answers
399
views
Show that U,V and H are colinear
We are given a regular icosagon as below:
I wanna prove that the red line exists.
I know that $U$ is the incenter of $\triangle TLB$ ($T,U,G$ are collinear)
I know that $V$ is the incenter of $\...
- 1,940
3
votes
1
answer
370
views
A conic inside a hexagon
Can you prove or disprove the following claim:
Construct a hexagon circumscribed around a conic section. Intersection points of its non-principal diagonals lie on a new conic section.
GeoGebra ...
- 12.9k
1
vote
1
answer
137
views
A relation of the lengths of line segments in a circumscribed star pentagon.
A few days ago I posted a question and timon92 gave a beautiful solution. Using timon92's method, one can easily show that $ER\cdot BS\cdot CD=DE\cdot RS\cdot BC$ (as with the notations in the figure ...
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