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File:Pompeiu theorem1.svg

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Summary

Description
English: Example of Pompeiu's theorem: point outside the circumcircle.
Date
Source Own work
Author Claudio Rocchini

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Source Code

Carmetal project:

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<CaR>
<Construction>
<Window x="3.64768116329265" y="1.212680715823435" w="11.31370849898476"/>
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<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>

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23 May 2014

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Date/TimeThumbnailDimensionsUserComment
current13:46, 23 May 2014Thumbnail for version as of 13:46, 23 May 2014801 × 347 (14 KB)RocchiniUser created page with UploadWizard

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