File:Brocard triangle.svg
Summary
| Description |
English: Brocard triangle (in black). B1 and B2 are the two Brocard points. Made with CarMetal. |
| Source | Own work |
| Author | Claudio Rocchini |
| SVG development |  This trigonometry was created with an unknown SVG tool. Category:Translation possible - SVGThis trigonometry uses embedded text that can be easily translated using a text editor. |
Source Code
<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Construction>
<Window x="0.33424159854677526" y="-1.903723887375114" w="8.0"/>
<Windowdim w="1273" h="799"/>
<Preferences minfontsize="18" minpointsize="3" minlinesize="2" arrowsize="13" digits.lengths="2" digits.edit="4" digits.angles="2" colorbackground="245,245,245" colorbackgroundx="139" colorbackgroundy="9" colorbackgroundPal="4" fig3D="false"/>
<Objects>
<Point name="A" n="0" type="thick" showname="true" x="6.184333006225021" y="2.1986527122592543" shape="circle">Punto</Point>
<Point name="C" n="1" type="thick" showname="true" x="-5.545100266169861" y="-5.830597744779136" shape="circle">Punto</Point>
<Point name="B" n="2" type="thick" showname="true" x="6.637715090320084" y="-5.728221145144767" shape="circle">Punto</Point>
<Segment name="s4" n="5" color="1" type="thick" from="A" to="C">Segmento da P1 a P2</Segment>
<Segment name="s5" n="8" color="1" type="thick" from="C" to="B">Segmento da P2 a P3</Segment>
<Segment name="s6" n="11" color="1" type="thick" from="B" to="A">Segmento da P3 a P1</Segment>
<Circle name="c11" n="375" color="2" hidden="super" bold="true" through="A" midpoint="B" acute="true">Circonferenza di centro P3 per P1</Circle>
<Circle name="c12" n="376" color="2" hidden="super" bold="true" through="B" midpoint="A" acute="true">Circonferenza di centro P1 per P3</Circle>
<Circle name="c13" n="710" color="2" hidden="super" bold="true" through="C" midpoint="A" acute="true">Circonferenza di centro P1 per P2</Circle>
<Circle name="c14" n="711" color="2" hidden="super" bold="true" through="A" midpoint="C" acute="true">Circonferenza di centro P2 per P1</Circle>
<Circle name="c15" n="1021" color="2" hidden="super" bold="true" through="B" midpoint="C" acute="true">Circonferenza di centro P2 per P3</Circle>
<Circle name="c16" n="1022" color="2" hidden="super" bold="true" through="C" midpoint="B" acute="true">Circonferenza di centro P3 per P2</Circle>
<Plumb name="p4" n="14" color="3" type="thin" point="B" line="s6" valid="true">Retta perpendicolare per P3 a s6</Plumb>
<Plumb name="p5" n="17" color="3" type="thin" point="A" line="s4" valid="true">Retta perpendicolare per P1 a s4</Plumb>
<Plumb name="p6" n="20" color="3" type="thin" point="C" line="s5" valid="true">Retta perpendicolare per P2 a s5</Plumb>
<Intersection name="P4" n="377" color="2" hidden="super" bold="true" first="c12" second="c11" shape="circle" which="second">Intersezione tra c12 e c11</Intersection>
<Intersection name="P5" n="378" color="2" hidden="super" bold="true" first="c11" second="c12" shape="circle" which="second">Intersezione tra c11 e c12</Intersection>
<Intersection name="P6" n="712" color="2" hidden="super" bold="true" first="c14" second="c13" shape="circle" which="second">Intersezione tra c14 e c13</Intersection>
<Intersection name="P7" n="713" color="2" hidden="super" bold="true" first="c13" second="c14" shape="circle" which="second">Intersezione tra c13 e c14</Intersection>
<Intersection name="P8" n="1023" color="2" hidden="super" bold="true" first="c16" second="c15" shape="circle" which="second">Intersezione tra c16 e c15</Intersection>
<Intersection name="P9" n="1024" color="2" hidden="super" bold="true" first="c15" second="c16" shape="circle" which="second">Intersezione tra c15 e c16</Intersection>
<Line name="l4" n="379" type="thin" from="P4" to="P5">Retta per P4 e P5</Line>
<Line name="l5" n="714" type="thin" from="P6" to="P7">Retta per P6 e P7</Line>
<Line name="l6" n="1025" type="thin" from="P8" to="P9">Retta per P8 e P9</Line>
<Intersection name="P10" n="1026" color="2" type="thin" first="p5" second="l4" shape="circle">Intersezione tra p5 e l4</Intersection>
<Intersection name="P11" n="1027" color="2" type="thin" first="p4" second="l6" shape="circle">Intersezione tra p4 e l6</Intersection>
<Intersection name="P12" n="1028" color="2" type="thin" first="p6" second="l5" shape="circle">Intersezione tra p6 e l5</Intersection>
<Circle name="c17" n="1031" color="4" type="thin" through="A" midpoint="P12" acute="true">Circonferenza di centro P12 per P1</Circle>
<Circle name="c18" n="1034" color="4" type="thin" through="B" midpoint="P10" acute="true">Circonferenza di centro P10 per P3</Circle>
<Circle name="c19" n="1037" color="4" type="thin" through="C" midpoint="P11" acute="true">Circonferenza di centro P11 per P2</Circle>
<Intersection name="B1" n="1038" color="2" type="thick" showname="true" first="c18" second="c17" shape="circle" which="second">Intersezione tra c18 e c17</Intersection>
<Plumb name="p1" n="1041" color="3" type="thin" point="B" line="s5" valid="true">Retta perpendicolare per P3 a s5</Plumb>
<Plumb name="p2" n="1044" color="3" type="thin" point="A" line="s6" valid="true">Retta perpendicolare per P1 a s6</Plumb>
<Plumb name="p3" n="1047" color="3" type="thin" point="C" line="s4" valid="true">Retta perpendicolare per P2 a s4</Plumb>
<Intersection name="P14" n="1048" color="2" hidden="true" first="p2" second="l5" shape="circle">Intersezione tra p2 e l5</Intersection>
<Intersection name="P15" n="1049" color="2" hidden="true" first="p5" second="p1" shape="circle">Intersezione tra p5 e p1</Intersection>
<Intersection name="P16" n="1050" color="2" type="thin" first="l6" second="p3" shape="circle">Intersezione tra l6 e p3</Intersection>
<Intersection name="P17" n="1051" color="2" type="thin" first="p1" second="l4" shape="circle">Intersezione tra p1 e l4</Intersection>
<Intersection name="P18" n="1052" color="2" type="thin" first="p2" second="l5" shape="circle">Intersezione tra p2 e l5</Intersection>
<Circle name="c1" n="1055" color="5" type="thin" through="B" midpoint="P17" acute="true">Circonferenza di centro P17 per P3</Circle>
<Circle name="c2" n="1058" color="5" type="thin" through="B" midpoint="P16" acute="true">Circonferenza di centro P16 per P3</Circle>
<Circle name="c3" n="1061" color="5" type="thin" through="C" midpoint="P18" acute="true">Circonferenza di centro P18 per P2</Circle>
<Intersection name="B2" n="1062" color="2" type="thick" showname="true" first="c2" second="c1" shape="circle" which="second">Intersezione tra c2 e c1</Intersection>
<Line name="l1" n="1065" color="5" from="C" to="B1">Retta per P2 e P13</Line>
<Line name="l2" n="1068" color="2" from="C" to="B2">Retta per P2 e P19</Line>
<Line name="l3" n="1071" color="2" from="B" to="B2">Retta per P3 e P19</Line>
<Line name="l7" n="1074" color="5" from="B" to="B1">Retta per P3 e P13</Line>
<Line name="l8" n="1077" color="5" from="A" to="B1">Retta per P1 e P13</Line>
<Line name="l9" n="1080" color="2" from="A" to="B2">Retta per P1 e P19</Line>
<Intersection name="P20" n="1081" color="3" first="l9" second="l7" shape="circle">Intersezione tra l9 e l7</Intersection>
<Intersection name="P21" n="1082" color="3" first="l6" second="l1" shape="circle">Intersezione tra l6 e l1</Intersection>
<Intersection name="P22" n="1083" color="3" first="l5" second="l2" shape="circle">Intersezione tra l5 e l2</Intersection>
<Segment name="s1" n="1086" type="thick" from="P22" to="P21">Segmento da P22 a P21</Segment>
<Segment name="s2" n="1089" type="thick" from="P21" to="P20">Segmento da P21 a P20</Segment>
<Segment name="s3" n="1092" type="thick" from="P20" to="P22">Segmento da P20 a P22</Segment>
</Objects>
</Construction>
</CaR>
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
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- Under the following conditions:
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- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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