File:Fuhrmann circle.svg

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Original file(SVG file, nominally 400 × 252 pixels, file size: 19 KB)

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Summary

Description
English: Example of Fuhrmann circle
Date
Source Own work
Author Rocchini

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 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.

Source Code

Made with CarMetal. Source code:

<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Construction>
<Window x="-0.3148728852884437" y="-0.20629602829242888" w="5.656854249492384"/>
<Windowdim w="1280" h="800"/>
<Preferences minfontsize="29" minpointsize="4" minlinesize="3" arrowsize="13" selectionsize="8" monkeyspeed="20" gridopacity="20" digits.lengths="2" digits.edit="4" digits.angles="2" colorbackground="255,255,255" colorbackgroundx="8" colorbackgroundy="6" colorbackgroundPal="4" fig3D="false" figDP="false"/>
<Objects>
<Point name="P1" n="0" color="2" x="-0.5013623978201638" y="2.615803814713896" shape="circle">Punto</Point>
<Point name="P2" n="1" color="2" type="thick" x="-4.212782051445384" y="-3.1758730671334403" shape="circle">Punto</Point>
<Point name="P3" n="2" color="2" x="3.659040080765706" y="-1.73180086908644" shape="circle">Punto</Point>
<Point name="P4" n="5" color="2" hidden="true" x="-3.9600363306085375" y="-1.0027247956403271" shape="circle">Punto</Point>
<Line name="l1" n="6" color="3" hidden="true" from="P1" to="P4">Retta per P1 e P4</Line>
<Line name="l2" n="9" color="3" from="P1" to="P2">Retta per P1 e P2</Line>
<Line name="l3" n="12" color="3" from="P2" to="P3">Retta per P2 e P3</Line>
<Line name="l4" n="15" color="3" from="P3" to="P1">Retta per P3 e P1</Line>
<Circle name="c1" n="168" color="4" hidden="super" through="P2" midpoint="P1" acute="true">Circonferenza di centro P1 per P2</Circle>
<Circle name="c2" n="397" color="4" hidden="super" through="P1" midpoint="P2" acute="true">Circonferenza di centro P2 per P1</Circle>
<Circle name="c3" n="616" color="4" hidden="super" through="P3" midpoint="P1" acute="true">Circonferenza di centro P1 per P3</Circle>
<Circle name="c4" n="820" color="4" hidden="super" through="P1" midpoint="P3" acute="true">Circonferenza di centro P3 per P1</Circle>
<Segment name="s4" n="1368" color="5" type="thick" from="P1" to="P2">Segmento da P1 a P2</Segment>
<Segment name="s5" n="1371" color="5" type="thick" from="P2" to="P3">Segmento da P2 a P3</Segment>
<Segment name="s6" n="1374" color="5" type="thick" from="P3" to="P1">Segmento da P3 a P1</Segment>
<PointOn name="P5" n="16" color="2" on="l2" alpha="16.40579957821562" x="-9.352998565905274" y="-11.19718995739892" shape="circle">Punto su l2</PointOn>
<PointOn name="P6" n="17" color="2" scolor="252,,112,,255" type="thin" on="l4" alpha="-11.674269262771952" x="11.730407181718935" y="-10.166348630605835" shape="circle">Punto su l4</PointOn>
<PointOn name="P7" n="18" color="2" scolor="252,,112,,255" type="thin" on="l3" alpha="20.694675536612746" x="16.142221394674277" y="0.5582172202236841" shape="circle">Punto su l3</PointOn>
<PointOn name="P8" n="19" color="2" on="l2" alpha="-11.004825264414462" x="5.436215278265449" y="11.881404196812438" shape="circle">Punto su l2</PointOn>
<PointOn name="P9" n="20" color="2" scolor="252,,112,,255" type="thin" on="l4" alpha="17.081595482489618" x="-8.15084923271939" y="10.609488311166986" shape="circle">Punto su l4</PointOn>
<PointOn name="P10" n="21" color="2" scolor="252,,112,,255" type="thin" on="l3" alpha="-10.039295798177903" x="-14.087297851753183" y="-4.987335965672664" shape="circle">Punto su l3</PointOn>
<Intersection name="P15" n="823" color="2" first="l3" second="l4" shape="circle">Intersezione tra l3 e l4</Intersection>
<Intersection name="P17" n="1018" color="2" first="l2" second="l3" shape="circle">Intersezione tra l2 e l3</Intersection>
<Plumb name="p4" n="1352" color="4" type="thin" point="P1" line="l3" valid="true">Retta perpendicolare per P1 a l3</Plumb>
<Plumb name="p6" n="1358" color="4" type="thin" point="P2" line="l4" valid="true">Retta perpendicolare per P2 a l4</Plumb>
<Angle name="a1" n="167" color="1" hidden="super" showvalue="true" unit="°" first="P2" root="P1" filled="true" fixed="angle180(a(P2,P1,P9))/2">Angolo P2 - P1 di musura angle180(a(P2,P1,P9))/2</Angle>
<Angle name="a2" n="396" color="1" hidden="super" showvalue="true" unit="°" first="P1" root="P2" filled="true" fixed="angle180(a(P1,P2,P10))/2">Angolo P1 - P2 di musura angle180(a(P1,P2,P10))/2</Angle>
<Angle name="a3" n="615" color="1" hidden="super" showvalue="true" unit="°" first="P3" root="P1" filled="true" fixed="angle180(a(P3,P1,P8))/2">Angolo P3 - P1 di musura angle180(a(P3,P1,P8))/2</Angle>
<Angle name="a4" n="819" color="1" hidden="super" showvalue="true" unit="°" first="P1" root="P3" filled="true" fixed="angle180(a(P1,P3,P7))/2">Angolo P1 - P3 di musura angle180(a(P1,P3,P7))/2</Angle>
<Angle name="a5" n="1014" color="1" hidden="super" showvalue="true" unit="°" first="P2" root="P15" filled="true" fixed="angle180(a(P2,P15,P6))/2">Angolo P2 - P15 di musura angle180(a(P2,P15,P6))/2</Angle>
<Circle name="c5" n="1015" color="4" hidden="super" through="P2" midpoint="P15" acute="true">Circonferenza di centro P15 per P2</Circle>
<Angle name="a6" n="1309" color="1" hidden="super" showvalue="true" unit="°" first="P3" root="P17" filled="true" fixed="angle180(a(P3,P17,P5))/2">Angolo P3 - P17 di musura angle180(a(P3,P17,P5))/2</Angle>
<Circle name="c6" n="1310" color="4" hidden="super" through="P3" midpoint="P17" acute="true">Circonferenza di centro P17 per P3</Circle>
<Plumb name="p5" n="1355" color="4" type="thin" point="P15" line="l2" valid="true">Retta perpendicolare per P15 a l2</Plumb>
<Intersection name="H" n="1359" color="2" showname="true" first="p4" second="p6" shape="circle">Intersezione tra p4 e p6</Intersection>
<Intersection name="P30" n="1382" color="2" first="l4" second="p6" shape="circle">Intersezione tra l4 e p6</Intersection>
<Intersection name="P31" n="1386" color="2" first="p4" second="l3" shape="circle">Intersezione tra p4 e l3</Intersection>
<Intersection name="P11" n="169" hidden="super" showname="true" first="a1" second="c1" shape="circle" which="first">Intersezione tra a1 e c1</Intersection>
<Intersection name="P12" n="398" hidden="super" showname="true" first="a2" second="c2" shape="circle" which="first">Intersezione tra a2 e c2</Intersection>
<Intersection name="P13" n="617" hidden="super" showname="true" first="a3" second="c3" shape="circle" which="first">Intersezione tra a3 e c3</Intersection>
<Intersection name="P14" n="821" hidden="super" showname="true" first="a4" second="c4" shape="circle" which="first">Intersezione tra a4 e c4</Intersection>
<Intersection name="P16" n="1016" hidden="super" showname="true" first="a5" second="c5" shape="circle" which="first">Intersezione tra a5 e c5</Intersection>
<Intersection name="P18" n="1311" hidden="super" showname="true" first="a6" second="c6" shape="circle" which="first">Intersezione tra a6 e c6</Intersection>
<Intersection name="P29" n="1378" color="2" first="p5" second="l2" shape="circle">Intersezione tra p5 e l2</Intersection>
<Angle name="a8" n="1385" color="1" xcoffset="-0.05599319941071628" ycoffset="-0.2507197986911015" unit="°" first="P2" root="P30" second="P3" display="small" filled="true" acute="true">Angolo P2 - P30 - P3</Angle>
<Angle name="a9" n="1389" color="1" xcoffset="-0.15351527975680457" ycoffset="0.20598231651562882" unit="°" first="P1" root="P31" second="P17" display="small" filled="true" acute="true">Angolo P1 - P31 - P17</Angle>
<Ray name="r1" n="170" color="3" scolor="252,,112,,255" type="thin" from="P1" to="P11">Semiretta da P1 puntando a P11</Ray>
<Ray name="r2" n="399" color="3" scolor="252,,112,,255" type="thin" from="P2" to="P12">Semiretta da P2 puntando a P12</Ray>
<Ray name="r3" n="618" color="3" scolor="252,,112,,255" type="thin" from="P1" to="P13">Semiretta da P1 puntando a P13</Ray>
<Ray name="r4" n="822" color="3" scolor="252,,112,,255" type="thin" from="P3" to="P14">Semiretta da P3 puntando a P14</Ray>
<Ray name="r5" n="1017" color="3" scolor="252,,112,,255" type="thin" from="P15" to="P16">Semiretta da P15 puntando a P16</Ray>
<Ray name="r6" n="1312" color="3" scolor="252,,112,,255" type="thin" from="P17" to="P18">Semiretta da P17 puntando a P18</Ray>
<Angle name="a7" n="1381" color="1" xcoffset="0.25539585433452877" ycoffset="-0.027723878240441435" unit="°" first="P3" root="P29" second="P1" display="small" filled="true" acute="true">Angolo P3 - P29 - P1</Angle>
<Intersection name="P19" n="1313" color="2" first="r3" second="r4" shape="circle">Intersezione tra r3 e r4</Intersection>
<Intersection name="P20" n="1314" color="2" first="r1" second="r2" shape="circle">Intersezione tra r1 e r2</Intersection>
<Intersection name="P21" n="1315" color="2" first="r6" second="r5" shape="circle">Intersezione tra r6 e r5</Intersection>
<Plumb name="p1" n="1318" color="3" scolor="252,,112,,255" type="thin" point="P21" line="l4" valid="true">Retta perpendicolare per P21 a l4</Plumb>
<Plumb name="p2" n="1321" color="3" scolor="252,,112,,255" type="thin" point="P20" line="l3" valid="true">Retta perpendicolare per P20 a l3</Plumb>
<Plumb name="p3" n="1324" color="4" scolor="252,,112,,255" type="thin" point="P19" line="l2" valid="true">Retta perpendicolare per P19 a l2</Plumb>
<Intersection name="P22" n="1325" color="2" scolor="252,,112,,255" type="thin" first="p3" second="l2" shape="circle">Intersezione tra p3 e l2</Intersection>
<Intersection name="P23" n="1326" color="2" scolor="252,,112,,255" type="thin" first="p1" second="l4" shape="circle">Intersezione tra p1 e l4</Intersection>
<Intersection name="P24" n="1327" color="2" scolor="252,,112,,255" type="thin" first="l3" second="p2" shape="circle">Intersezione tra l3 e p2</Intersection>
<Circle name="c7" n="1330" color="4" through="P24" midpoint="P20" filled="true" acute="true">Circonferenza di centro P20 per P24</Circle>
<Circle name="c8" n="1333" color="4" through="P23" midpoint="P21" filled="true" acute="true">Circonferenza di centro P21 per P23</Circle>
<Circle name="c9" n="1336" color="4" through="P22" midpoint="P19" filled="true" acute="true">Circonferenza di centro P19 per P22</Circle>
<Intersection name="P25" n="1337" color="3" first="l4" second="c9" shape="circle" which="first">Intersezione tra l4 e c9</Intersection>
<Intersection name="P26" n="1338" color="3" first="l3" second="c8" shape="circle" which="first">Intersezione tra l3 e c8</Intersection>
<Intersection name="P27" n="1339" color="3" first="l2" second="c7" shape="circle" which="first">Intersezione tra l2 e c7</Intersection>
<Segment name="s1" n="1342" color="1" type="thin" from="P1" to="P26">Segmento da P1 a P26</Segment>
<Segment name="s2" n="1345" color="1" type="thin" from="P27" to="P3">Segmento da P27 a P3</Segment>
<Segment name="s3" n="1348" color="1" type="thin" from="P2" to="P25">Segmento da P2 a P25</Segment>
<Intersection name="N" n="1349" color="2" showname="true" first="s3" second="s2" shape="circle">Intersezione tra s3 e s2</Intersection>
<Midpoint name="P28" n="1362" color="2" scolor="252,,112,,255" type="thin" first="H" second="N" shape="circle">Punto medio tra H e N</Midpoint>
<Segment name="s7" n="1377" color="1" from="H" to="N">Segmento da H a N</Segment>
<Circle name="F" n="1365" color="4" type="thick" showname="true" through="H" midpoint="P28" acute="true">Circonferenza di centro P28 per H</Circle>
</Objects>
</Construction>
</CaR>

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14 May 2012

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Date/TimeThumbnailDimensionsUserComment
current10:42, 14 May 2012Thumbnail for version as of 10:42, 14 May 2012400 × 252 (19 KB)wikimediacommons>Rocchini

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