File:Pompeiu theorem1.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 800 × 347 pixels. Other resolutions: 320 × 139 pixels | 640 × 277 pixels | 1,024 × 444 pixels | 1,280 × 555 pixels | 2,560 × 1,109 pixels.
Original file (SVG file, nominally 801 × 347 pixels, file size: 14 KB)
Summary
| Description |
English: Example of Pompeiu's theorem: point outside the circumcircle. |
| Date | |
| Source | Own work |
| Author | Claudio Rocchini |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Source Code
Carmetal project:
<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Construction>
<Window x="3.64768116329265" y="1.212680715823435" w="11.31370849898476"/>
<Windowdim w="830" h="395"/>
<Preferences minfontsize="16" minpointsize="2" minlinesize="1" arrowsize="10" selectionsize="8" monkeyspeed="20" gridopacity="20" digits.lengths="2" digits.edit="4" digits.angles="2" colorbackground="255,255,255" colorbackgroundx="9" colorbackgroundy="4" colorbackgroundPal="4" fig3D="false" figDP="false"/>
<Objects>
<Point name="P1" n="0" color="2" x="-0.29157739012165074" y="0.7842995231470145" shape="circle">Punto</Point>
<Point name="P2" n="3" color="4" type="thin" x="-0.33962264150943433" y="-2.1792452830188678" shape="circle">Punto</Point>
<Point name="P" n="14" color="2" type="thick" showname="true" bold="true" x="-6.923552891556605" y="2.1487729516719103" shape="circle">Punto</Point>
<Circle name="c1" n="4" color="4" through="P2" midpoint="P1" acute="true">Circonferenza di centro P1 per P2</Circle>
<Circle name="c2" n="7" color="4" type="thin" through="P1" midpoint="P2" acute="true">Circonferenza di centro P2 per P1</Circle>
<Line name="l1" n="10" color="4" type="thin" from="P1" to="P2">Retta per P1 e P2</Line>
<Intersection name="A" n="11" color="2" type="thick" showname="true" bold="true" first="l1" second="c1" awayfrom="P2" shape="circle" which="second">Intersezione tra l1 e c1</Intersection>
<Intersection name="B" n="12" color="2" type="thick" showname="true" bold="true" first="c1" second="c2" shape="circle" which="second">Intersezione tra c1 e c2</Intersection>
<Intersection name="C" n="13" color="2" type="thick" showname="true" bold="true" first="c1" second="c2" shape="circle" which="first">Intersezione tra c1 e c2</Intersection>
<Segment name="s7" n="17" color="1" type="thick" from="A" to="B">Segmento da A a B</Segment>
<Segment name="s8" n="20" color="1" type="thick" from="B" to="C">Segmento da B a C</Segment>
<Segment name="s9" n="23" color="1" type="thick" from="C" to="A">Segmento da C a A</Segment>
<Segment name="pal" n="26" color="1" xcoffset="0.7932086872081014" ycoffset="-0.3934213974135672" keepclose="true" from="A" to="P">Segmento da A a P</Segment>
<Segment name="pbl" n="29" color="1" from="P" to="B">Segmento da P a B</Segment>
<Segment name="pcl" n="32" color="1" from="P" to="C">Segmento da P a C</Segment>
<Point name="P3" n="33" color="2" x="13.226229134334284" y="0.022732958388933078" shape="circle">Punto</Point>
<Point name="P4" n="36" color="4" type="thin" x="16.27249539336661" y="0.022732958388933078" shape="circle">Punto</Point>
<Line name="l2" n="37" color="4" type="thin" from="P3" to="P4">Retta per P3 e P4</Line>
<Circle name="c3" n="40" color="2" type="thin" fixed="pbl" midpoint="P3" acute="true">Circonferenza di centro P3 e raggio 2.0945484327759702</Circle>
<Intersection name="P5" n="41" color="2" hidden="true" first="l2" second="c3" shape="circle" which="first">Intersezione tra l2 e c3</Intersection>
<Intersection name="P6" n="42" color="2" first="l2" second="c3" shape="circle" which="second">Intersezione tra l2 e c3</Intersection>
<Circle name="c4" n="45" color="2" type="thin" fixed="pal" midpoint="P3" acute="true">Circonferenza di centro P3 e raggio 2.266335955376197</Circle>
<Circle name="c5" n="48" color="2" type="thin" fixed="pcl" midpoint="P6" acute="true">Circonferenza di centro P6 e raggio 3.4934197831811757</Circle>
<Intersection name="P7" n="49" color="2" first="c4" second="c5" shape="circle" which="first">Intersezione tra c4 e c5</Intersection>
<Segment name="PC" n="52" color="3" type="thick" showname="true" from="P6" to="P7">Segmento da P6 a P7</Segment>
<Segment name="PA" n="55" color="3" type="thick" showname="true" from="P7" to="P3">Segmento da P7 a P3</Segment>
<Segment name="PB" n="58" color="3" type="thick" showname="true" from="P3" to="P6">Segmento da P3 a P6</Segment>
</Objects>
</Construction>
</CaR>
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:46, 23 May 2014 | | 801 × 347 (14 KB) | wikimediacommons>Rocchini | User created page with UploadWizard |
File usage
The following page uses this file:
