File:Vivianis theorem isosceles el.svg
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Size of this PNG preview of this SVG file: 151 × 175 pixels. Other resolutions: 207 × 240 pixels | 414 × 480 pixels | 663 × 768 pixels | 883 × 1,024 pixels | 1,767 × 2,048 pixels.
Original file (SVG file, nominally 151 × 175 pixels, file size: 16 KB)
Captions
Captions
Viviani's theorem for isosceles triangles.
Summary
[edit]
\tkzLabelSegment[above](P,PC){\scalebox{0.75}{$d_2$
| Description |
Ελληνικά: Το θεώρημα Viviani για ισοσκελή τρίγωνα |
| Date | 21 August 2023 |
| Source | Own work |
| Author | Dimitris131 |
| SVG development |  This vector image was created with LaTeX. |
| Source code | 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/B,2.025/5.4/A,4.05/0/C,2.835/0/P}
\tkzDefPointBy[projection = onto A--B](P) \tkzGetPoint{PC}
\tkzDefPointBy[projection = onto A--C](P) \tkzGetPoint{PB}
\tkzDefPointBy[projection = onto B--C](P) \tkzGetPoint{PA}
\tkzDefPointBy[projection = onto B--C](A) \tkzGetPoint{HA}
\tkzFillPolygon[fill=ShapeClr,fill opacity=0.1](A,B,C)
\tkzFillAngles[fill=AngleClr,size=.4,fill opacity=0.1](C,B,A A,C,B B,A,C)
\tkzMarkAngles[line width=1pt,size=.4,color=AngleClr](C,B,A A,C,B B,A,C)
\tkzMarkRightAngles[line width=0.7pt, size=.15,color=AngleClr,fill=AngleClr,fill opacity=0.1](P,PA,B P,PB,A P,PC,A A,HA,B)
\tkzDrawSegments[line width=0.55pt,color=black,dashed,dash pattern=on 1pt off 1.75pt](A,HA A,P)
\tkzDrawSegments[line width=0.7pt,color=black](P,PA P,PB P,PC)
\tkzDrawPolygon[color=ShapeClr](A,B,C)
\tkzDrawPoints[size=3](A,B,C,P)
\tkzLabelPoint[above](A){$\rm A$}
\tkzLabelPoint[left](B){$\rm B$}
\tkzLabelPoint[right](C){$\rm\Gamma$};
\tkzLabelPoint[below](P){$\rm P$};
\tkzLabelSegment[above](P,PB){\scalebox{0.75}{$d_1$
|
\tkzLabelSegment[left](A,HA){\scalebox{0.75}{$Dimitris131 (talk) 13:22, 27 August 2024 (UTC)u$}}
\end{tikzpicture} \end{document} }} }}
Licensing
[edit]
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:31, 21 August 2023 | | 151 × 175 (16 KB) | Dimitris131 (talk | contribs) | {{Πληροφορίες εικόνας |Περιγραφή=Το θεώρημα Viviani για ισοσκελή τρίγωνα |Πηγή= |Ημερομηνία=21/08/23 |Δημιουργός=Dimitris131 |Άδεια χρήσης= }} |
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