File:Triangle centroid proof 1 el.svg
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Size of this PNG preview of this SVG file: 178 × 151 pixels. Other resolutions: 283 × 240 pixels | 566 × 480 pixels | 905 × 768 pixels | 1,207 × 1,024 pixels | 2,414 × 2,048 pixels.
Original file (SVG file, nominally 178 × 151 pixels, file size: 17 KB)
Captions
Captions
Figure for the proof that the medians pass through the same point.
Summary
[edit]| Description |
Ελληνικά: Σχήμα απόδειξης ότι οι διάμεσοι διέρχονται από το ίδιο σημείο. |
| 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}
\usepackage{fp}
\usepackage{xfp}
\begin{document}
\begin{tikzpicture}[scale=.75]
\tkzSetUpLine[line width=1pt,color=black]
\tkzSetUpPoint[fill=black]
\tkzDefPoints{0/0/B,1.4/3/A,5/0/C}
\tkzDefMidPoint(A,C) \tkzGetPoint{MB}
\tkzDefMidPoint(A,B) \tkzGetPoint{MC}
\tkzFillPolygon[fill=ShapeClr,fill opacity=0.1](A,B,C)
\tkzInterLL(B,MB)(C,MC)
\tkzGetPoint{G}
\tkzDefPointsBy[symmetry=center G](A){}
\tkzInterLL(B,C)(A,A') \tkzGetPoint{M}
\tkzDrawPolygon[color=ShapeClr](A,B,C)
\tkzDrawPoints[size=3](A,B,C,G,A')
\tkzDrawPoints[size=2](M,MB,MC)
\tkzDrawSegments[color=black](B,MB C,MC)
\tkzDrawSegments[line width=0.5pt,color=black,dashed,dash pattern=on 1pt off 1.75pt](A,A' B,A' C,A')
\tkzLabelPoint[above](A){$\rm A$}
\tkzLabelPoint[right](MB){$\rm M_B$}
\tkzLabelPoint[left](MC){$\rm M_\Gamma$}
\tkzLabelPoint[below](G){$\rm G'$}
\tkzLabelPoint[below](B){$\rm B$}
\tkzLabelPoint[below](C){$\rm \Gamma$}
\tkzLabelPoint[below](A'){$\rm A'$}
\tkzLabelPoint[below left](M){$\rm M$}
\tkzMarkSegments[mark=s|,size=2](A,MC MC,B)
\tkzMarkSegments[mark=s||,size=2](A,MB MB,C)
\tkzMarkSegments[mark=s|||,size=2](A,G G,A')
\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 | 12:10, 2 November 2024 | | 178 × 151 (17 KB) | Dimitris131 (talk | contribs) | Make background white and reorder labels |
| 11:48, 27 August 2024 |  | 159 × 151 (17 KB) | Dimitris131 (talk | contribs) | Make points MA,MB,MC smaller and change third equality symbol | |
| 15:01, 1 August 2023 |  | 159 × 151 (18 KB) | Dimitris131 (talk | contribs) | {{Πληροφορίες εικόνας |Περιγραφή=Σχήμα απόδειξης ότι οι διάμεσοι διέρχονται από το ίδιο σημείο. |Πηγή= |Ημερομηνία=01/08/23 |Δημιουργός=Dimitris131 |Άδεια χρήσης= }} |
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File usage on other wikis
The following other wikis use this file:
- Usage on el.wikipedia.org
