Datei:Hypercycle (vector format).svg
.svg?uselang=de){kind=small}
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Originaldatei (SVG-Datei, Basisgröße: 400 × 319 Pixel, Dateigröße: 24 KB)
Diese Datei und die Informationen unter dem roten Trennstrich werden aus dem zentralen Medienarchiv Wikimedia Commons eingebunden.
Beschreibung
| Beschreibung |
Italiano: Hypercycle generated by all points P equidistance from a line L |
| Datum | |
| Quelle | Eigenes Werk |
| Urheber | Claudio Rocchini |
| SVG‑Erstellung |
Lizenz
Claudio Rocchini, der Nutzungsrechtsinhaber dieses Werkes, veröffentlicht es hiermit unter der folgenden Lizenz:
Diese Datei ist unter der Creative-Commons-Lizenz „Namensnennung – Weitergabe unter gleichen Bedingungen 3.0 nicht portiert“ lizenziert.
Namensnennung:
- Dieses Werk darf von dir
- verbreitet werden – vervielfältigt, verbreitet und öffentlich zugänglich gemacht werden
- neu zusammengestellt werden – abgewandelt und bearbeitet werden
- Zu den folgenden Bedingungen:
- Namensnennung – Du musst angemessene Urheber- und Rechteangaben machen, einen Link zur Lizenz beifügen und angeben, ob Änderungen vorgenommen wurden. Diese Angaben dürfen in jeder angemessenen Art und Weise gemacht werden, allerdings nicht so, dass der Eindruck entsteht, der Lizenzgeber unterstütze gerade dich oder deine Nutzung besonders.
- Weitergabe unter gleichen Bedingungen – Wenn du das Material wiedermischst, transformierst oder darauf aufbaust, musst du deine Beiträge unter der gleichen oder einer kompatiblen Lizenz wie das Original verbreiten.
Source code
CaRMetal project:
<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Construction>
<Window x="-0.6246001852892138" y="-0.2943209022126289" w="5.65685424949241"/>
<Windowdim w="960" h="734"/>
<Preferences minfontsize="19" minpointsize="3" 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="7" colorbackgroundPal="4" fig3D="false" figDP="false"/>
<Objects>
<Point name="P1" n="0" color="4" type="thin" x="-0.31244323342416" y="-0.40690281562216146" shape="circle">Punto</Point>
<Point name="P2" n="3" color="2" x="2.979143520318564" y="1.6522357218209853" shape="circle">Punto</Point>
<Circle name="c4" n="4" color="4" type="thick" through="P2" midpoint="P1" acute="true">Circonferenza di centro P1 per P2</Circle>
<Ray name="r6" n="8" color="4" type="thin" from="P1" to="P2">Semiretta da P1 puntando a P2</Ray>
<PointOn name="P3" n="5" color="2" on="c4" alpha="-1.3008839324204509" x="0.7228408399411335" y="-4.148931912413665" shape="circle">Punto su c4</PointOn>
<Plumb name="p6" n="19" color="4" type="thin" point="P2" line="r6" valid="true">Retta perpendicolare per P2 a r6</Plumb>
<Line name="l1" n="164" color="2" type="thin" from="P2" to="P3">Retta per P2 e P3</Line>
<Ray name="r7" n="11" color="4" type="thin" from="P1" to="P3">Semiretta da P1 puntando a P3</Ray>
<PointOn name="P25" n="665" color="4" type="thin" on="p6" alpha="-9.490235681942561" x="8.01229196989879" y="-6.393383582079987" shape="circle">Punto su p6</PointOn>
<Angle name="a1" n="666" color="1" xcoffset="-0.037363657680490915" ycoffset="-0.30320934785334275" unit="°" first="P1" root="P2" second="P25" display="small" filled="true" acute="true">Angolo P1 - P2 - P25</Angle>
<Plumb name="p5" n="16" color="4" type="thin" point="P3" line="r7" valid="true">Retta perpendicolare per P3 a r7</Plumb>
<Intersection name="P4" n="20" color="4" type="thin" first="p5" second="p6" shape="circle">Intersezione tra p5 e p6</Intersection>
<Circle name="c5" n="23" color="4" type="thin" through="P2" midpoint="P4" acute="true">Circonferenza di centro P4 per P2</Circle>
<Angle name="a2" n="669" color="1" xcoffset="0.19874138967385074" ycoffset="0.2320211446644915" unit="°" first="P4" root="P3" second="P1" display="small" filled="true" acute="true">Angolo P4 - P3 - P1</Angle>
<Ray name="r8" n="26" color="4" type="thin" from="P1" to="P4">Semiretta da P1 puntando a P4</Ray>
<Intersection name="P5" n="27" color="4" type="thin" hidden="true" first="r8" second="c5" shape="circle" which="second">Intersezione tra r8 e c5</Intersection>
<Point name="P6" n="158" type="thick" hidden="super" showname="true" bold="true" large="true" x="if(a(P3,P2,P5)<180,x(P2),x(P3))" actx="0.7228408399411335" y="if(a(P3,P2,P5)<180,y(P2),y(P3))" acty="-4.148931912413665" shape="circle" fixed="true">Point à "if(a(C,A,B)<180,x(A),x(C))", "if(a(C,A,B)<180,y(A),y(C))" </Point>
<Point name="P7" n="159" type="thick" hidden="super" showname="true" bold="true" large="true" x="if(a(P3,P2,P5)<180,x(P3),x(P2))" actx="2.979143520318564" y="if(a(P3,P2,P5)<180,y(P3),y(P2))" acty="1.6522357218209853" shape="diamond" fixed="true">Point à "if(a(C,A,B)<180,x(C),x(A))", "if(a(C,A,B)<180,y(C),y(A))" </Point>
<Point name="P8" n="160" hidden="super" x="(x(P5)^2*y(P6)-x(P5)^2*y(P7)+y(P6)^2*y(P7)-y(P6)^2*y(P5)-y(P6)*y(P7)^2+y(P6)*y(P5)^2-y(P6)*x(P7)^2+y(P7)^2*y(P5)-y(P7)*y(P5)^2+y(P7)*x(P6)^2+y(P5)*x(P7)^2-y(P5)*x(P6)^2)/(2*x(P5)*y(P6)+(-(2*x(P5)))*y(P7)+(-(2*y(P6)))*x(P7)+2*y(P7)*x(P6)+2*y(P5)*x(P7)+(-(2*y(P5)))*x(P6))" actx="5.739893335862397" y="(-x(P5)^2*x(P6)+x(P5)^2*x(P7)+x(P5)*x(P6)^2-x(P5)*x(P7)^2+x(P5)*y(P6)^2-x(P5)*y(P7)^2-x(P6)^2*x(P7)+x(P6)*x(P7)^2+x(P6)*y(P7)^2-x(P6)*y(P5)^2-x(P7)*y(P6)^2+x(P7)*y(P5)^2)/(2*x(P5)*y(P6)+(-(2*x(P5)))*y(P7)+2*x(P6)*y(P7)+(-(2*x(P6)))*y(P5)+(-(2*x(P7)))*y(P6)+2*x(P7)*y(P5))" acty="-2.7608949918246735" fixed="true">Point à "(x(B)^2*y(P4)-x(B)^2*y(P5)+y(P4)^2*y(P5)-y(P4)^2*y(B)-y(P4)*y(P5)^2+y(P4)*y(B)^2-y(P4)*x(P5)^2+y(P5)^2*y(B)-y(P5)*y(B)^2+y(P5)*x(P4)^2+y(B)*x(P5)^2-y(B)*x(P4)^2)/(2*x(B)*y(P4)+(-(2*x(B)))*y(P5)+(-(2*y(P4)))*x(P5)+2*y(P5)*x(P4)+2*y(B)*x(P5)+(-(2*y(B)))*x(P4))", "(-x(B)^2*x(P4)+x(B)^2*x(P5)+x(B)*x(P4)^2-x(B)*x(P5)^2+x(B)*y(P4)^2-x(B)*y(P5)^2-x(P4)^2*x(P5)+x(P4)*x(P5)^2+x(P4)*y(P5)^2-x(P4)*y(B)^2-x(P5)*y(P4)^2+x(P5)*y(B)^2)/(2*x(B)*y(P4)+(-(2*x(B)))*y(P5)+2*x(P4)*y(P5)+(-(2*x(P4)))*y(B)+(-(2*x(P5)))*y(P4)+2*x(P5)*y(B))" </Point>
<Circle name="L" n="161" color="2" type="thick" showname="true" through="P6" midpoint="P8" start="P7" end="P6">Circonferenza di centro P8 per P6</Circle>
<PointOn name="Q" n="165" color="2" on="L" alpha="0.35965931700710363" x="1.3042609370095848" y="-0.036445054315230596" shape="circle">Punto su L</PointOn>
<Ray name="r1" n="168" color="2" type="thin" from="P4" to="Q">Semiretta da P4 puntando a P9</Ray>
<Intersection name="P10" n="171" color="2" first="r1" second="c5" shape="circle" which="first">Intersezione tra r1 e c5</Intersection>
<PointOn name="P26" n="672" color="2" type="thin" on="r1" alpha="15.170117334741487" x="-7.186583640898022" y="5.17879347304011" shape="circle">Punto su r1</PointOn>
<Plumb name="p1" n="172" color="2" type="thin" point="P10" line="r1" valid="true">Retta perpendicolare per P10 a r1</Plumb>
<Intersection name="P11" n="173" color="2" type="thin" first="p1" second="l1" shape="circle">Intersezione tra p1 e l1</Intersection>
<Circle name="c1" n="182" color="4" through="Q" midpoint="P11" acute="true">Circonferenza di centro P11 per P9</Circle>
<Angle name="a3" n="673" color="1" xcoffset="-0.15796157058386534" ycoffset="0.26149587713689254" unit="°" first="P11" root="Q" second="P26" display="small" filled="true" acute="true">Angolo P11 - P9 - P26</Angle>
<Intersection name="A" n="183" color="2" type="thin" first="c4" second="c1" shape="circle" which="second">Intersezione tra c4 e c1</Intersection>
<Intersection name="B" n="184" color="4" type="thin" first="c4" second="c1" shape="circle" which="first">Intersezione tra c4 e c1</Intersection>
<Ray name="r2" n="187" color="2" type="thin" from="P1" to="A">Semiretta da P1 puntando a P12</Ray>
<Point name="P14" n="316" type="thick" hidden="super" showname="true" bold="true" large="true" x="if(a(A,B,Q)<180,x(B),x(A))" actx="3.5507764158917716" y="if(a(A,B,Q)<180,y(B),y(A))" acty="-0.7943674139241965" shape="circle" fixed="true">Point à "if(a(C,A,B)<180,x(A),x(C))", "if(a(C,A,B)<180,y(A),y(C))" </Point>
<Point name="P15" n="317" type="thick" hidden="super" showname="true" bold="true" large="true" x="if(a(A,B,Q)<180,x(A),x(B))" actx="-1.110359265265748" y="if(a(A,B,Q)<180,y(A),y(B))" acty="3.3928241324529553" shape="diamond" fixed="true">Point à "if(a(C,A,B)<180,x(C),x(A))", "if(a(C,A,B)<180,y(C),y(A))" </Point>
<Angle name="a4" n="682" color="1" xcoffset="0.20661416276412772" ycoffset="-0.298834234011413" unit="°" first="P11" root="A" second="P1" display="small" filled="true" acute="true">Angolo P11 - P12 - P1</Angle>
<Angle name="a5" n="685" color="1" xcoffset="-0.30151471816025427" ycoffset="0.20268247680707835" unit="°" first="P1" root="B" second="P11" display="small" filled="true" acute="true">Angolo P1 - P13 - P11</Angle>
<Ray name="r9" n="679" color="2" type="thin" from="P11" to="A">Semiretta da P11 puntando a P12</Ray>
<Point name="P16" n="318" hidden="super" x="(x(Q)^2*y(P14)-x(Q)^2*y(P15)+y(P14)^2*y(P15)-y(P14)^2*y(Q)-y(P14)*y(P15)^2+y(P14)*y(Q)^2-y(P14)*x(P15)^2+y(P15)^2*y(Q)-y(P15)*y(Q)^2+y(P15)*x(P14)^2+y(Q)*x(P15)^2-y(Q)*x(P14)^2)/(2*x(Q)*y(P14)+(-(2*x(Q)))*y(P15)+(-(2*y(P14)))*x(P15)+2*y(P15)*x(P14)+2*y(Q)*x(P15)+(-(2*y(Q)))*x(P14))" actx="4.080051389268624" y="(-x(Q)^2*x(P14)+x(Q)^2*x(P15)+x(Q)*x(P14)^2-x(Q)*x(P15)^2+x(Q)*y(P14)^2-x(Q)*y(P15)^2-x(P14)^2*x(P15)+x(P14)*x(P15)^2+x(P14)*y(P15)^2-x(P14)*y(Q)^2-x(P15)*y(P14)^2+x(P15)*y(Q)^2)/(2*x(Q)*y(P14)+(-(2*x(Q)))*y(P15)+2*x(P14)*y(P15)+(-(2*x(P14)))*y(Q)+(-(2*x(P15)))*y(P14)+2*x(P15)*y(Q))" acty="4.482773997190576" fixed="true">Point à "(x(B)^2*y(P4)-x(B)^2*y(P5)+y(P4)^2*y(P5)-y(P4)^2*y(B)-y(P4)*y(P5)^2+y(P4)*y(B)^2-y(P4)*x(P5)^2+y(P5)^2*y(B)-y(P5)*y(B)^2+y(P5)*x(P4)^2+y(B)*x(P5)^2-y(B)*x(P4)^2)/(2*x(B)*y(P4)+(-(2*x(B)))*y(P5)+(-(2*y(P4)))*x(P5)+2*y(P5)*x(P4)+2*y(B)*x(P5)+(-(2*y(B)))*x(P4))", "(-x(B)^2*x(P4)+x(B)^2*x(P5)+x(B)*x(P4)^2-x(B)*x(P5)^2+x(B)*y(P4)^2-x(B)*y(P5)^2-x(P4)^2*x(P5)+x(P4)*x(P5)^2+x(P4)*y(P5)^2-x(P4)*y(B)^2-x(P5)*y(P4)^2+x(P5)*y(B)^2)/(2*x(B)*y(P4)+(-(2*x(B)))*y(P5)+2*x(P4)*y(P5)+(-(2*x(P4)))*y(B)+(-(2*x(P5)))*y(P4)+2*x(P5)*y(B))" </Point>
<Circle name="c2" n="319" color="2" type="thin" through="P14" midpoint="P16" start="P15" end="P14">Circonferenza di centro P16 per P14</Circle>
<PointOn name="P" n="320" type="thick" showname="true" on="c2" alpha="0.24117720898094178" x="-0.543990769442031" y="1.885354588467374" shape="circle">Punto su c2</PointOn>
<Midpoint name="P17" n="325" color="2" type="thin" hidden="true" first="P" second="Q" shape="circle">Punto medio tra P e P9</Midpoint>
<Point name="P22" n="659" type="thick" hidden="super" showname="true" bold="true" large="true" x="if(a(P3,P2,P)<180,x(P2),x(P3))" actx="0.7228408399411335" y="if(a(P3,P2,P)<180,y(P2),y(P3))" acty="-4.148931912413665" shape="circle" fixed="true">Point à "if(a(C,A,B)<180,x(A),x(C))", "if(a(C,A,B)<180,y(A),y(C))" </Point>
<Point name="P23" n="660" type="thick" hidden="super" showname="true" bold="true" large="true" x="if(a(P3,P2,P)<180,x(P3),x(P2))" actx="2.979143520318564" y="if(a(P3,P2,P)<180,y(P3),y(P2))" acty="1.6522357218209853" shape="diamond" fixed="true">Point à "if(a(C,A,B)<180,x(C),x(A))", "if(a(C,A,B)<180,y(C),y(A))" </Point>
<Ray name="r11" n="697" color="2" type="thin" from="P11" to="P">Semiretta da P11 puntando a P</Ray>
<Point name="P24" n="661" hidden="super" x="(x(P)^2*y(P22)-x(P)^2*y(P23)+y(P22)^2*y(P23)-y(P22)^2*y(P)-y(P22)*y(P23)^2+y(P22)*y(P)^2-y(P22)*x(P23)^2+y(P23)^2*y(P)-y(P23)*y(P)^2+y(P23)*x(P22)^2+y(P)*x(P23)^2-y(P)*x(P22)^2)/(2*x(P)*y(P22)+(-(2*x(P)))*y(P23)+(-(2*y(P22)))*x(P23)+2*y(P23)*x(P22)+2*y(P)*x(P23)+(-(2*y(P)))*x(P22))" actx="1.0388389916056415" y="(-x(P)^2*x(P22)+x(P)^2*x(P23)+x(P)*x(P22)^2-x(P)*x(P23)^2+x(P)*y(P22)^2-x(P)*y(P23)^2-x(P22)^2*x(P23)+x(P22)*x(P23)^2+x(P22)*y(P23)^2-x(P22)*y(P)^2-x(P23)*y(P22)^2+x(P23)*y(P)^2)/(2*x(P)*y(P22)+(-(2*x(P)))*y(P23)+2*x(P22)*y(P23)+(-(2*x(P22)))*y(P)+(-(2*x(P23)))*y(P22)+2*x(P23)*y(P))" acty="-0.9324697184450556" fixed="true">Point à "(x(B)^2*y(P4)-x(B)^2*y(P5)+y(P4)^2*y(P5)-y(P4)^2*y(B)-y(P4)*y(P5)^2+y(P4)*y(B)^2-y(P4)*x(P5)^2+y(P5)^2*y(B)-y(P5)*y(B)^2+y(P5)*x(P4)^2+y(B)*x(P5)^2-y(B)*x(P4)^2)/(2*x(B)*y(P4)+(-(2*x(B)))*y(P5)+(-(2*y(P4)))*x(P5)+2*y(P5)*x(P4)+2*y(B)*x(P5)+(-(2*y(B)))*x(P4))", "(-x(B)^2*x(P4)+x(B)^2*x(P5)+x(B)*x(P4)^2-x(B)*x(P5)^2+x(B)*y(P4)^2-x(B)*y(P5)^2-x(P4)^2*x(P5)+x(P4)*x(P5)^2+x(P4)*y(P5)^2-x(P4)*y(B)^2-x(P5)*y(P4)^2+x(P5)*y(B)^2)/(2*x(B)*y(P4)+(-(2*x(B)))*y(P5)+2*x(P4)*y(P5)+(-(2*x(P4)))*y(B)+(-(2*x(P5)))*y(P4)+2*x(P5)*y(B))" </Point>
<Plumb name="p3" n="700" color="2" type="thin" point="P" line="r11" valid="true">Retta perpendicolare per P a r11</Plumb>
<Circle name="HC" n="662" color="5" type="thick" showname="true" through="P22" midpoint="P24" start="P23" end="P22">Circonferenza di centro P24 per P22</Circle>
<PointOn name="P27" n="703" color="2" type="thin" on="p3" alpha="10.064889748723015" x="4.385237697241658" y="-6.889878307426889" shape="circle">Punto su p3</PointOn>
<Angle name="a7" n="704" color="1" xcoffset="0.23025188108477865" ycoffset="-0.2810255912347315" unit="°" first="P11" root="P" second="P27" display="small" filled="true" acute="true">Angolo P11 - P - P27</Angle>
<Ray name="r4" n="328" color="2" type="thin" from="P1" to="P17">Semiretta da P1 puntando a P17</Ray>
<Intersection name="P18" n="329" color="4" type="thin" hidden="true" first="r4" second="c1" shape="circle" which="second">Intersezione tra r4 e c1</Intersection>
<Point name="P19" n="410" type="thick" hidden="super" showname="true" bold="true" large="true" x="if(a(P,Q,P18)<180,x(Q),x(P))" actx="1.3042609370095848" y="if(a(P,Q,P18)<180,y(Q),y(P))" acty="-0.036445054315230596" shape="circle" fixed="true">Point à "if(a(C,A,B)<180,x(A),x(C))", "if(a(C,A,B)<180,y(A),y(C))" </Point>
<Point name="P20" n="411" type="thick" hidden="super" showname="true" bold="true" large="true" x="if(a(P,Q,P18)<180,x(P),x(Q))" actx="-0.543990769442031" y="if(a(P,Q,P18)<180,y(P),y(Q))" acty="1.885354588467374" shape="diamond" fixed="true">Point à "if(a(C,A,B)<180,x(C),x(A))", "if(a(C,A,B)<180,y(C),y(A))" </Point>
<Point name="P21" n="412" hidden="super" x="(x(P18)^2*y(P19)-x(P18)^2*y(P20)+y(P19)^2*y(P20)-y(P19)^2*y(P18)-y(P19)*y(P20)^2+y(P19)*y(P18)^2-y(P19)*x(P20)^2+y(P20)^2*y(P18)-y(P20)*y(P18)^2+y(P20)*x(P19)^2+y(P18)*x(P20)^2-y(P18)*x(P19)^2)/(2*x(P18)*y(P19)+(-(2*x(P18)))*y(P20)+(-(2*y(P19)))*x(P20)+2*y(P20)*x(P19)+2*y(P18)*x(P20)+(-(2*y(P18)))*x(P19))" actx="4.080051389268609" y="(-x(P18)^2*x(P19)+x(P18)^2*x(P20)+x(P18)*x(P19)^2-x(P18)*x(P20)^2+x(P18)*y(P19)^2-x(P18)*y(P20)^2-x(P19)^2*x(P20)+x(P19)*x(P20)^2+x(P19)*y(P20)^2-x(P19)*y(P18)^2-x(P20)*y(P19)^2+x(P20)*y(P18)^2)/(2*x(P18)*y(P19)+(-(2*x(P18)))*y(P20)+2*x(P19)*y(P20)+(-(2*x(P19)))*y(P18)+(-(2*x(P20)))*y(P19)+2*x(P20)*y(P18))" acty="4.482773997190561" fixed="true">Point à "(x(B)^2*y(P4)-x(B)^2*y(P5)+y(P4)^2*y(P5)-y(P4)^2*y(B)-y(P4)*y(P5)^2+y(P4)*y(B)^2-y(P4)*x(P5)^2+y(P5)^2*y(B)-y(P5)*y(B)^2+y(P5)*x(P4)^2+y(B)*x(P5)^2-y(B)*x(P4)^2)/(2*x(B)*y(P4)+(-(2*x(B)))*y(P5)+(-(2*y(P4)))*x(P5)+2*y(P5)*x(P4)+2*y(B)*x(P5)+(-(2*y(B)))*x(P4))", "(-x(B)^2*x(P4)+x(B)^2*x(P5)+x(B)*x(P4)^2-x(B)*x(P5)^2+x(B)*y(P4)^2-x(B)*y(P5)^2-x(P4)^2*x(P5)+x(P4)*x(P5)^2+x(P4)*y(P5)^2-x(P4)*y(B)^2-x(P5)*y(P4)^2+x(P5)*y(B)^2)/(2*x(B)*y(P4)+(-(2*x(B)))*y(P5)+2*x(P4)*y(P5)+(-(2*x(P4)))*y(B)+(-(2*x(P5)))*y(P4)+2*x(P5)*y(B))" </Point>
<Circle name="radii" n="413" color="1" type="thick" showname="true" through="P19" midpoint="P21" start="P20" end="P19">Circonferenza di centro P21 per P19</Circle>
</Objects>
</Construction>
</CaR>
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| aktuell | 09:05, 11. Sep. 2021 | | 400 × 319 (24 KB) | Rocchini | Reverted to version as of 08:01, 11 September 2021 (UTC) |
| 09:02, 11. Sep. 2021 |  | 400 × 298 (18 KB) | Rocchini | Reverted to version as of 15:21, 29 May 2013 (UTC) | |
| 09:01, 11. Sep. 2021 |  | 400 × 319 (24 KB) | Rocchini | Correction of an error | |
| 16:21, 29. Mai 2013 |  | 400 × 298 (18 KB) | Rocchini | User created page with UploadWizard |
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