File:Musselman theorem.svg
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Summary
| Description |
English: Musselman theorem schema |
| Date | |
| Source | Own work |
| Author | Claudio Rocchini |
Licensing
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Source Code
Carmetal source:
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<Segment name="s1" n="5" color="1" type="thick" from="A" to="B">Segmento da A a B</Segment>
<Segment name="s2" n="8" color="1" type="thick" from="B" to="C">Segmento da B a C</Segment>
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<Plumb name="p1" n="1899" color="3" hidden="super" point="P3" line="s2" valid="true">Retta perpendicolare per P3 a s2</Plumb>
<Circle name="c1" n="1900" color="4" hidden="super" through="P3" midpoint="P1" acute="true">Circonferenza di centro P1 per P3</Circle>
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<Circle name="c2" n="3184" color="4" hidden="super" through="P4" midpoint="P5" acute="true">Circonferenza di centro P5 per P4</Circle>
<Intersection name="B*" n="3185" color="2" showname="true" first="p2" second="c2" awayfrom="P4" shape="circle" which="second">Intersezione tra p2 e c2</Intersection>
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<Circle name="c3" n="3953" color="4" hidden="super" through="P7" midpoint="P8" acute="true">Circonferenza di centro P8 per P7</Circle>
<Intersection name="C*" n="3954" color="2" showname="true" first="p3" second="c3" awayfrom="P7" shape="circle" which="second">Intersezione tra p3 e c3</Intersection>
<Segment name="s4" n="3957" color="2" from="B*" to="C*">Segmento da P6 a P9</Segment>
<Segment name="s5" n="3960" color="2" from="C*" to="A*">Segmento da P9 a P2</Segment>
<Segment name="s6" n="3963" color="2" from="A*" to="B*">Segmento da P2 a P6</Segment>
<Midpoint name="P2" n="3966" color="2" type="thin" hidden="true" first="A" second="C" shape="circle">Punto medio tra A e C</Midpoint>
<Midpoint name="P6" n="3969" color="2" type="thin" hidden="true" first="A" second="B" shape="circle">Punto medio tra A e B</Midpoint>
<Plumb name="p4" n="3972" color="2" type="thin" hidden="true" point="P2" line="s3" valid="true">Retta perpendicolare per P2 a s3</Plumb>
<Plumb name="p5" n="3975" color="2" type="thin" hidden="true" point="P6" line="s1" valid="true">Retta perpendicolare per P6 a s1</Plumb>
<Intersection name="O" n="3976" type="thick" showname="true" first="p5" second="p4" shape="circle">Intersezione tra p5 e p4</Intersection>
<Circle name="c4" n="3979" color="4" through="A" midpoint="O" acute="true">Circonferenza di centro P9 per A</Circle>
<Point name="P9" n="4154" color="2" hidden="true" x="(x(A)^2*y("A*")-x(A)^2*y(O)+y("A*")^2*y(O)-y("A*")^2*y(A)-y("A*")*y(O)^2+y("A*")*y(A)^2-y("A*")*x(O)^2+y(O)^2*y(A)-y(O)*y(A)^2+y(O)*x("A*")^2+y(A)*x(O)^2-y(A)*x("A*")^2)/(2*x(A)*y("A*")+(-(2*x(A)))*y(O)+(-(2*y("A*")))*x(O)+2*y(O)*x("A*")+2*y(A)*x(O)+(-(2*y(A)))*x("A*"))" actx="-3.4972363615066753" y="(-x(A)^2*x("A*")+x(A)^2*x(O)+x(A)*x("A*")^2-x(A)*x(O)^2+x(A)*y("A*")^2-x(A)*y(O)^2-x("A*")^2*x(O)+x("A*")*x(O)^2+x("A*")*y(O)^2-x("A*")*y(A)^2-x(O)*y("A*")^2+x(O)*y(A)^2)/(2*x(A)*y("A*")+(-(2*x(A)))*y(O)+2*x("A*")*y(O)+(-(2*x("A*")))*y(A)+(-(2*x(O)))*y("A*")+2*x(O)*y(A))" acty="-1.5551057954412082" shape="circle" fixed="true">Point à "(x(A)^2*y(P4)-x(A)^2*y(P5)+y(P4)^2*y(P5)-y(P4)^2*y(A)-y(P4)*y(P5)^2+y(P4)*y(A)^2-y(P4)*x(P5)^2+y(P5)^2*y(A)-y(P5)*y(A)^2+y(P5)*x(P4)^2+y(A)*x(P5)^2-y(A)*x(P4)^2)/(2*x(A)*y(P4)+(-(2*x(A)))*y(P5)+(-(2*y(P4)))*x(P5)+2*y(P5)*x(P4)+2*y(A)*x(P5)+(-(2*y(A)))*x(P4))", "(-x(A)^2*x(P4)+x(A)^2*x(P5)+x(A)*x(P4)^2-x(A)*x(P5)^2+x(A)*y(P4)^2-x(A)*y(P5)^2-x(P4)^2*x(P5)+x(P4)*x(P5)^2+x(P4)*y(P5)^2-x(P4)*y(A)^2-x(P5)*y(P4)^2+x(P5)*y(A)^2)/(2*x(A)*y(P4)+(-(2*x(A)))*y(P5)+2*x(P4)*y(P5)+(-(2*x(P4)))*y(A)+(-(2*x(P5)))*y(P4)+2*x(P5)*y(A))" </Point>
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<Circle name="c6" n="4277" color="3" large="true" through="B*" midpoint="P10">Cercle de centre P10 passant par P7 </Circle>
<Point name="P11" n="4404" color="2" hidden="true" x="(x("C*")^2*y(C)-x("C*")^2*y(O)+y(C)^2*y(O)-y(C)^2*y("C*")-y(C)*y(O)^2+y(C)*y("C*")^2-y(C)*x(O)^2+y(O)^2*y("C*")-y(O)*y("C*")^2+y(O)*x(C)^2+y("C*")*x(O)^2-y("C*")*x(C)^2)/(2*x("C*")*y(C)+(-(2*x("C*")))*y(O)+(-(2*y(C)))*x(O)+2*y(O)*x(C)+2*y("C*")*x(O)+(-(2*y("C*")))*x(C))" actx="-0.8905896267644544" y="(-x("C*")^2*x(C)+x("C*")^2*x(O)+x("C*")*x(C)^2-x("C*")*x(O)^2+x("C*")*y(C)^2-x("C*")*y(O)^2-x(C)^2*x(O)+x(C)*x(O)^2+x(C)*y(O)^2-x(C)*y("C*")^2-x(O)*y(C)^2+x(O)*y("C*")^2)/(2*x("C*")*y(C)+(-(2*x("C*")))*y(O)+2*x(C)*y(O)+(-(2*x(C)))*y("C*")+(-(2*x(O)))*y(C)+2*x(O)*y("C*"))" acty="1.438893194148125" shape="circle" fixed="true">Point à "(x(A)^2*y(P4)-x(A)^2*y(P5)+y(P4)^2*y(P5)-y(P4)^2*y(A)-y(P4)*y(P5)^2+y(P4)*y(A)^2-y(P4)*x(P5)^2+y(P5)^2*y(A)-y(P5)*y(A)^2+y(P5)*x(P4)^2+y(A)*x(P5)^2-y(A)*x(P4)^2)/(2*x(A)*y(P4)+(-(2*x(A)))*y(P5)+(-(2*y(P4)))*x(P5)+2*y(P5)*x(P4)+2*y(A)*x(P5)+(-(2*y(A)))*x(P4))", "(-x(A)^2*x(P4)+x(A)^2*x(P5)+x(A)*x(P4)^2-x(A)*x(P5)^2+x(A)*y(P4)^2-x(A)*y(P5)^2-x(P4)^2*x(P5)+x(P4)*x(P5)^2+x(P4)*y(P5)^2-x(P4)*y(A)^2-x(P5)*y(P4)^2+x(P5)*y(A)^2)/(2*x(A)*y(P4)+(-(2*x(A)))*y(P5)+2*x(P4)*y(P5)+(-(2*x(P4)))*y(A)+(-(2*x(P5)))*y(P4)+2*x(P5)*y(A))" </Point>
<Circle name="c7" n="4405" color="3" large="true" through="C*" midpoint="P11">Cercle de centre P10 passant par P7 </Circle>
<Intersection name="M" n="4406" color="5" type="thick" showname="true" first="c5" second="c6" shape="circle" which="second">Intersezione tra c5 e c6</Intersection>
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 13:11, 23 September 2015 | | 673 × 478 (13 KB) | Rocchini | User created page with UploadWizard |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
