File:Brocard triangle.svg
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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.  This 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:
This file is licensed under the Creative Commons Attribution-Share Alike 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.
- 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.
|
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. |
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:22, 18 May 2011 | | 1,094 × 687 (10 KB) | Rocchini | {{Information |Description ={{en|1=Brocard triangle (in black). B1 and B2 are the two Brocard points. Made with CarMetal.}} |Source ={{own}} |Author =Claudio Rocchini |Date = |Permission = |other_versions |
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