File:Intersecting secants theorem el.svg

Summary

Description
Ελληνικά: Το θεώρημα τεμνουσών λέει ότι PA · PB = PΓ · PΔ.
English: The intersecting secants theorem states that PA · PB = PΓ · PΔ.
Date
Source Own work
Author Dimitris131
SVG development
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Source code
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LaTeX code

\documentclass[tikz]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usepackage{mathrsfs}
\usetikzlibrary{arrows,calc}
\usepackage{tkz-euclide}

\pagestyle{empty}

\definecolor{AngleClr}{rgb}{0,0.39215686274509803,0}
\definecolor{ShapeClr}{rgb}{0.6,0.2,0}

\begin{document}

\begin{tikzpicture}[scale=.75]
\tkzSetUpLine[line width=1pt,color=black]
\tkzSetUpPoint[fill=black]

\tkzDefPoints{0/0/O}

\tkzDefPoint(167:2){A}
\tkzDefPoint(70:2){B}
\tkzDefPoint(-150:2){C}
\tkzDefPoint(-30:2){D}

\tkzInterLL(A,B)(C,D)\tkzGetPoint{P}

\tkzDrawCircle[fill=white,draw=black,line width=0.5pt](O,A)

\tkzDrawSegments[line width=0.5pt,color=black,add=0 and .3](P,B P,D)

\tkzDrawPoints[size=3](O,A,B,C,D,P)
\tkzLabelPoint[above left](A){$\rm A$}
\tkzLabelPoint[above](B){$\rm B$}
\tkzLabelPoint[below left](C){$\rm \Gamma$}
\tkzLabelPoint[below right](D){$\rm \Delta$}
\tkzLabelPoint[below](O){$\rm O$}
\tkzLabelPoint[left](P){$\rm P$}

\end{tikzpicture}
\end{document}

Licensing

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Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Category:CC-Zero#Intersecting%20secants%20theorem%20el.svg
Category:Self-published work Category:Geometry
Category:CC-Zero Category:Geometry Category:Self-published work Category:Valid SVG created with LaTeX code