File:Carnot theorem obtuse triangle el.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 178 × 150 pixels. Other resolutions: 285 × 240 pixels | 570 × 480 pixels | 911 × 768 pixels | 1,215 × 1,024 pixels | 2,430 × 2,048 pixels.
Original file (SVG file, nominally 178 × 150 pixels, file size: 21 KB)
Captions
Captions
Carnot's theorem for obtuse triangles.
Summary
[edit]| Description |
Ελληνικά: Το θεώρημα Carnot λέει ότι . |
| Date | |
| 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}
\definecolor{SquareClr}{RGB}{250, 248, 217}
\definecolor{GreenDist}{RGB}{7,122,7}
\definecolor{RedDist}{RGB}{232,57,14}
\begin{document}
\begin{tikzpicture}[scale=.75]
\tkzSetUpLine[line width=1pt,color=black]
\tkzSetUpPoint[fill=black]
\tkzDefPoints{0/0/B,1/1.5/A,5/0/C}
\tkzDefTriangleCenter[circum](A,B,C) \tkzGetPoint{O}
\tkzDefCircle[in](A,B,C)
\tkzGetPoints{I}{x}
\tkzDefPointBy[projection=onto B--C](O)\tkzGetPoint{OA}
\tkzDefPointBy[projection=onto A--C](O)\tkzGetPoint{OB}
\tkzDefPointBy[projection=onto A--B](O)\tkzGetPoint{OC}
\tkzDefPointBy[projection=onto A--B](I)\tkzGetPoint{IC}
\tkzFillPolygon[fill=ShapeClr,fill opacity=0.1](A,B,C)
\tkzMarkRightAngles[line width=0.5pt, size=.2,color=AngleClr,fill=AngleClr,fill opacity=0.1](O,OC,B O,OA,C O,OB,A)
\tkzDrawSegments[color=GreenDist,line width=0.65pt](O,OA O,OB O,OC)
\tkzDrawSegments[color=RedDist,line width=0.65pt](O,OA)
\tkzDrawSegments[line width=0.5pt,color=black,dashed,dash pattern=on 1pt off 1.75pt](I,IC O,C)
\tkzDrawCircles[line width=0.5pt,color=black](O,A I,x)
\tkzDrawPolygon[color=ShapeClr](A,B,C)
\tkzDrawPoints[size=3](A,B,C,O,I)
\tkzDrawPoints[size=2](OA,OB,OC)
\tkzLabelPoint[above](A){$\rm A$}
\tkzLabelPoint[below left](B){$\rm B$}
\tkzLabelPoint[below right](C){$\rm \Gamma$}
\tkzLabelPoint[below left](O){$\rm O$}
\tkzLabelPoint[scale=0.75,above](OA){$\rm M_A$}
\tkzLabelPoint[scale=0.75,above right](OB){$\rm M_B$}
\tkzLabelPoint[scale=0.75,left](OC){$\rm M_\Gamma$}
\tkzLabelPoint[below](I){$\rm I$}
\tkzLabelSegment[below](I,IC){$\rho$}
\tkzLabelSegment[below](O,C){$R$}
\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 | 19:10, 6 September 2023 | | 178 × 150 (21 KB) | Dimitris131 (talk | contribs) | {{Πληροφορίες εικόνας|Περιγραφή=|Πηγή=|Ημερομηνία=|Δημιουργός=|Άδεια χρήσης=}} |
| 05:58, 31 August 2023 |  | 178 × 150 (21 KB) | Dimitris131 (talk | contribs) | {{Πληροφορίες εικόνας |Περιγραφή=Το θεώρημα Carnot λέει ότι <math>-\mathrm{OO_A} + \mathrm{OO_B} + \mathrm{OO_\Gamma} = r + R</math>. |Πηγή= |Ημερομηνία=31/08/23 |Δημιουργός=Dimitris131 |Άδεια χρήσης= }} |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on el.wikipedia.org
