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File:Cramer castillon problem.svg

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Summary

Description
English: Cramer Castillon Problem: example with two solutions.
Italiano: Problems di Castillon - Cramer: esempio con due soluzioni.
Date
Source Own work
Author Claudio Rocchini

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Source Code

Note: the Carmetal construction is triky: first I draw the two triangles, THEN the points A, B, C... Carmetal source:

<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Construction>
<Window x="0.0" y="0.0" w="8.0"/>
<Windowdim w="831" h="592"/>
<Preferences minfontsize="23" minpointsize="3" 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="5" colorbackgroundPal="4" fig3D="false" figDP="false"/>
<Objects>
<Point name="P1" n="0" color="4" type="thin" x="-0.47229791099000895" y="-0.37783832879200663" shape="circle">Punto</Point>
<Point name="P2" n="3" color="2" x="1.751135331516803" y="2.0781108083560396" shape="circle">Punto</Point>
<Circle name="c1" n="4" color="4" type="thick" through="P2" midpoint="P1" acute="true">Circonferenza di centro P1 per P2</Circle>
<PointOn name="P3" n="5" color="2" on="c1" alpha="2.1262900620604404" x="-2.2194011324992298" y="2.4369390836395146" shape="circle">Punto su un oggetto</PointOn>
<PointOn name="P4" n="6" color="2" on="c1" alpha="-0.6126836674916083" x="2.2380153684151685" y="-2.2829744067724063" shape="circle">Punto su un oggetto</PointOn>
<PointOn name="P5" n="7" color="2" on="c1" alpha="-3.0518344793998424" x="-3.7718669113112258" y="-0.6747995388209171" shape="circle">Punto su un oggetto</PointOn>
<Polygon name="pol1" n="8" type="thin" background="true" point1="P3" point2="P4" point3="P5">Poligono</Polygon>
<Line name="l2" n="11" color="2" type="thick" from="P3" to="P5">Retta per P3 e P5</Line>
<Line name="l3" n="14" color="3" type="thick" from="P5" to="P4">Retta per P5 e P4</Line>
<Line name="l4" n="17" color="1" type="thick" from="P3" to="P4">Retta per P3 e P4</Line>
<PointOn name="P7" n="19" color="2" on="c1" alpha="-0.06374331253268736" x="2.8338791560844316" y="-0.58887090754144" shape="circle">Punto su un oggetto</PointOn>
<PointOn name="P8" n="20" color="2" on="c1" alpha="-2.241316064177197" x="-2.5309150188193947" y="-2.9734956928319454" shape="circle">Punto su un oggetto</PointOn>
<Polygon name="pol5" n="21" color="5" type="thin" background="true" point1="P2" point2="P7" point3="P8">Poligono</Polygon>
<Line name="l6" n="24" color="2" type="thick" from="P8" to="P7">Retta per P8 e P7</Line>
<Line name="l7" n="27" color="3" type="thick" from="P2" to="P7">Retta per P2 e P7</Line>
<Intersection name="C" n="28" color="1" type="thick" showname="true" first="pol5" second="l4" x="0.033311084744950925" y="0.051564779487013546" shape="circle">Intersezione tra pol5 e l4</Intersection>
<Intersection name="A" n="29" color="2" type="thick" showname="true" first="l2" second="l6" shape="circle">Intersezione tra l2 e l6</Intersection>
<Intersection name="B" n="30" color="3" type="thick" showname="true" first="l7" second="l3" shape="circle">Intersezione tra l7 e l3</Intersection>
<Line name="l8" n="33" color="1" type="thick" from="P2" to="P8">Retta per P2 e P8</Line>
</Objects>
</Construction>
</CaR>

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copyrighted<\/a>"}},"text\/plain":{"en":{"P6216":"copyrighted"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P6216 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed">
Creative Commons Attribution-ShareAlike 4.0 International<\/a>"}},"text\/plain":{"en":{"P275":"Creative Commons Attribution-ShareAlike 4.0 International"}}}}" class="wbmi-entityview-statementsGroup wbmi-entityview-statementsGroup-P275 oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-framed">

20 June 2016

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image/svg+xml

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f6023248d8c79d822fb8adb24fcff9ca72679dd1

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418 pixel

567 pixel

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