User:Quantum-phantom
Revision as of 07:29, 4 February 2024 by Quantum-phantom (talk | contribs) (Created page with "<asy> usepackage("tkz-euclide"); label("\begin{tikzpicture}[scale=2.5] \tkzDefPoint(0:1){C}\tkzDefPoint(180:1){B}\tkzDefPoint(0:0){O} \tkzDefPoint(47:1){E}\tkzDefPoint(123:1){...")
![[asy] usepackage("tkz-euclide"); label("\begin{tikzpicture}[scale=2.5] \tkzDefPoint(0:1){C}\tkzDefPoint(180:1){B}\tkzDefPoint(0:0){O} \tkzDefPoint(47:1){E}\tkzDefPoint(123:1){F} \tkzInterLL(B,F)(C,E)\tkzGetPoint{A} \tkzDefPoint(270:1){M}\tkzInterLL(B,C)(M,E)\tkzGetPoint{X} \tkzInterLL(B,C)(M,F)\tkzGetPoint{Y} \tkzInterLL(B,E)(C,F)\tkzGetPoint{H} \tkzInterLL(A,H)(C,B)\tkzGetPoint{D} \tkzInterLC(H,A)(O,B)\tkzGetPoints{z}{Z} \tkzDrawArc(O,C)(B)\tkzDrawPoints(A,...,F,H,X,Y,Z) \tkzDrawSegments(A,B B,C C,A A,D B,E E,X F,Y C,F) \tkzDrawSegments[dashed](Z,Y X,Z Z,B Z,C) \tkzDefLine[tangent at=Z](O)\tkzGetPoint{tan} \tkzDrawLine[add=.4 and -.6](Z,tan) \tkzDefTriangleCenter[circum](X,Y,Z) \tkzGetPoint{T}\tkzDrawCircle(T,X) \tkzLabelPoints[below](X,Y)\tkzLabelPoints[above right](Z,D,E) \tkzLabelPoints[below left](H,B)\tkzLabelPoints[below right](C) \tkzLabelPoints[above left](A,F) \end{tikzpicture}",origin); [/asy]](http://latex.artofproblemsolving.com/b/0/d/b0d5a113733ce683a885a69bd2cd03de25db227f.png)
