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File:Spieker circle.svg

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Summary

Description
English: Spieker circle. Made with carmetal.
Source Own work
Author Claudio Rocchini

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Source Code

Carmetal project:

<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Construction>
<Window x="-0.5868725868725875" y="-0.09266409266409248" w="8.0"/>
<Windowdim w="697" h="460"/>
<Preferences minfontsize="13" 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="10" colorbackgroundy="2" colorbackgroundPal="4" fig3D="false" figDP="false"/>
<Objects>
<Point name="A" n="0" color="2" type="thick" showname="true" x="-3.1065989847715736" y="3.685279187817259" shape="circle">Punto</Point>
<Point name="B" n="1" color="2" type="thick" showname="true" x="5.7142857142857135" y="-3.613899613899614" shape="circle">Punto</Point>
<Point name="C" n="2" color="2" type="thick" showname="true" x="-6.781725888324873" y="-3.482233502538071" shape="circle">Punto</Point>
<Segment name="s1" n="5" color="1" from="A" to="B">Segmento da P1 a P2</Segment>
<Segment name="s2" n="8" color="1" from="B" to="C">Segmento da P2 a P3</Segment>
<Segment name="s3" n="11" color="1" from="C" to="A">Segmento da P3 a P1</Segment>
<Midpoint name="P1" n="14" color="2" first="A" second="C" shape="circle">Punto medio tra A e C</Midpoint>
<Midpoint name="P2" n="17" color="2" first="A" second="B" shape="circle">Punto medio tra A e B</Midpoint>
<Midpoint name="Q" n="22" color="2" showname="true" first="B" second="C" shape="circle">Punto medio tra B e C</Midpoint>
<Segment name="s4" n="25" color="1" from="A" to="P1" code_symbol="2">Segmento da A a P1</Segment>
<Segment name="s5" n="28" color="1" from="A" to="P2" code_symbol="2">Segmento da A a P2</Segment>
<Segment name="s6" n="31" color="1" from="P2" to="B" code_symbol="2">Segmento da P2 a B</Segment>
<Segment name="s7" n="34" color="1" from="B" to="Q" code_symbol="2">Segmento da B a P3</Segment>
<Segment name="s8" n="37" color="1" from="Q" to="C" code_symbol="2">Segmento da P3 a C</Segment>
<Segment name="s9" n="40" color="1" from="C" to="P1" code_symbol="2">Segmento da C a P1</Segment>
<Segment name="s10" n="43" color="1" from="P1" to="P2">Segmento da P1 a P2</Segment>
<Segment name="s11" n="46" color="1" from="P2" to="Q">Segmento da P2 a P3</Segment>
<Segment name="s12" n="49" color="1" from="Q" to="P1">Segmento da P3 a P1</Segment>
<Angle name="a1" n="260" color="1" hidden="super" showvalue="true" unit="°" first="P1" root="Q" filled="true" fixed="angle180(a(P1,Q,P2))/2">Angolo P1 - P3 di musura angle180(a(P1,P3,P2))/2</Angle>
<Circle name="c1" n="261" color="4" hidden="super" through="P1" midpoint="Q" acute="true">Circonferenza di centro P3 per P1</Circle>
<Intersection name="P4" n="262" hidden="super" showname="true" first="a1" second="c1" shape="circle" which="first">Intersezione tra a1 e c1</Intersection>
<Ray name="r1" n="263" color="4" from="Q" to="P4">Semiretta da P3 puntando a P4</Ray>
<Angle name="a2" n="424" color="1" hidden="super" showvalue="true" unit="°" first="Q" root="P1" filled="true" fixed="angle180(a(Q,P1,P2))/2">Angolo P3 - P1 di musura angle180(a(P3,P1,P2))/2</Angle>
<Circle name="c2" n="425" color="4" hidden="super" through="Q" midpoint="P1" acute="true">Circonferenza di centro P1 per P3</Circle>
<Intersection name="P5" n="426" hidden="super" showname="true" first="a2" second="c2" shape="circle" which="first">Intersezione tra a2 e c2</Intersection>
<Ray name="r2" n="427" color="4" from="P1" to="P5">Semiretta da P1 puntando a P5</Ray>
<Intersection name="X10" n="428" color="2" type="thick" showname="true" first="r1" second="r2" shape="circle">Intersezione tra r1 e r2</Intersection>
<Angle name="a3" n="574" color="1" hidden="super" showvalue="true" unit="°" first="Q" root="P2" filled="true" fixed="angle180(a(Q,P2,P1))/2">Angolo P3 - P2 di musura angle180(a(P3,P2,P1))/2</Angle>
<Circle name="c3" n="575" color="4" hidden="super" through="Q" midpoint="P2" acute="true">Circonferenza di centro P2 per P3</Circle>
<Intersection name="P7" n="576" hidden="super" showname="true" first="a3" second="c3" shape="circle" which="first">Intersezione tra a3 e c3</Intersection>
<Ray name="r3" n="577" color="4" from="P2" to="P7">Semiretta da P2 puntando a P7</Ray>
<Plumb name="p1" n="580" color="4" type="thin" point="X10" line="s12" valid="true">Retta perpendicolare per P6 a s12</Plumb>
<Intersection name="P8" n="581" color="2" type="thin" first="s12" second="p1" shape="circle">Intersezione tra s12 e p1</Intersection>
<Circle name="c4" n="584" color="2" through="P8" midpoint="X10" acute="true">Circonferenza di centro P6 per P8</Circle>
<Angle name="a4" n="587" color="1" xcoffset="0.43047387473309806" ycoffset="-0.26900638024564894" unit="°" first="Q" root="P1" second="X10" display="normalsize" filled="true" acute="true">Angolo P3 - P1 - P6</Angle>
<Angle name="a5" n="590" color="1" xcoffset="0.5017779069322187" ycoffset="-0.07675364196776188" unit="°" first="P2" root="P1" second="X10" display="normalsize" filled="true" acute="true">Angolo P2 - P1 - P6</Angle>
<Angle name="a6" n="593" color="1" xcoffset="-0.5017728176002004" ycoffset="-0.07678690616341828" unit="°" first="P1" root="P2" second="X10" display="normalsize" filled="true" acute="true">Angolo P1 - P2 - P6</Angle>
<Angle name="a7" n="596" color="1" xcoffset="-0.3243236913652186" ycoffset="-0.3904949841673157" unit="°" first="Q" root="P2" second="X10" display="normalsize" filled="true" acute="true">Angolo P3 - P2 - P6</Angle>
<Angle name="a8" n="599" color="1" xcoffset="-0.31927036100430845" ycoffset="0.3946373348085203" unit="°" first="P1" root="Q" second="X10" display="normalsize" filled="true" acute="true">Angolo P1 - P3 - P6</Angle>
<Angle name="a9" n="602" color="1" xcoffset="0.11896316773538759" ycoffset="0.49347740998241824" unit="°" first="P2" root="Q" second="X10" display="normalsize" filled="true" acute="true">Angolo P2 - P3 - P6</Angle>
<Expression name="E1" n="603" color="1" type="thick" showname="true" showvalue="true" x="-0.3726162710934293" y="3.341826235227251" value="s1+s2+s3" prompt="Perimeter">Espressione &quot;s1+s2+s3&quot; in -0.37, 3.34</Expression>
<Intersection name="P" n="604" color="2" showname="true" first="s1" second="r1" shape="circle">Intersezione tra s1 e r1</Intersection>
<Segment name="s13" n="607" color="1" from="A" to="P">Segmento da A a P</Segment>
<Expression name="E2" n="608" color="1" type="thick" showname="true" showvalue="true" x="-0.38319973345354086" y="2.617995805813065" value="s13+s3+s8" prompt="QC+CA+AP">Espressione &quot;s13+s3+s8&quot; in -0.38, 2.62</Expression>
</Objects>
</Construction>
</CaR>

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File history

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Date/TimeThumbnailDimensionsUserComment
current09:08, 13 February 2015Thumbnail for version as of 09:08, 13 February 2015567 × 379 (40 KB)RocchiniSome minor corrections, perimeter's measure added.
12:16, 7 December 2010Thumbnail for version as of 12:16, 7 December 20101,101 × 688 (7 KB)Rocchini{{Information |Description={{en|1=Spieker circle. Made with [http://db-maths.nuxit.net/CaRMetal/index_en.html carmetal].}} |Source={{own}} |Author=Claudio Rocchini |Date= |Permission= |other_versions= }}

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