Fichier:Hypercycle (vector format).svg
Taille de cet aperçu PNG pour ce fichier SVG : 400 × 319 pixels. Autres résolutions : 301 × 240 pixels | 602 × 480 pixels | 963 × 768 pixels | 1 280 × 1 021 pixels | 2 560 × 2 042 pixels.
Fichier d’origine (Fichier SVG, nominalement de 400 × 319 pixels, taille : 24 kio)
Ce fichier et sa description proviennent de Wikimedia Commons.
.svg?uselang=fr){kind=link}
Description
| Description |
Italiano: Hypercycle generated by all points P equidistance from a line L |
| Date | |
| Source | Travail personnel |
| Auteur | Claudio Rocchini |
Conditions d’utilisation
Moi, en tant que détenteur des droits d’auteur sur cette œuvre, je la publie sous la licence suivante :
Ce fichier est disponible selon les termes de la licence Creative Commons Attribution – Partage dans les Mêmes Conditions 3.0 (non transposée).
- Vous êtes libre :
- de partager – de copier, distribuer et transmettre cette œuvre
- d’adapter – de modifier cette œuvre
- Sous les conditions suivantes :
- paternité – Vous devez donner les informations appropriées concernant l'auteur, fournir un lien vers la licence et indiquer si des modifications ont été faites. Vous pouvez faire cela par tout moyen raisonnable, mais en aucune façon suggérant que l’auteur vous soutient ou approuve l’utilisation que vous en faites.
- partage à l’identique – Si vous modifiez, transformez, ou vous basez sur cette œuvre, vous devez distribuer votre contribution sous la même licence ou une licence compatible avec celle de l’original.
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>
Historique du fichier
Cliquer sur une date et heure pour voir le fichier tel qu'il était à ce moment-là.
| Date et heure | Vignette | Dimensions | Utilisateur | Commentaire | |
|---|---|---|---|---|---|
| actuel | 11 septembre 2021 à 10:05 | | 400 × 319 (24 kio) | Rocchini | Reverted to version as of 08:01, 11 September 2021 (UTC) |
| 11 septembre 2021 à 10:02 |  | 400 × 298 (18 kio) | Rocchini | Reverted to version as of 15:21, 29 May 2013 (UTC) | |
| 11 septembre 2021 à 10:01 |  | 400 × 319 (24 kio) | Rocchini | Correction of an error | |
| 29 mai 2013 à 17:21 |  | 400 × 298 (18 kio) | Rocchini | User created page with UploadWizard |
Utilisation du fichier
La page suivante utilise ce fichier :
Usage global du fichier
Les autres wikis suivants utilisent ce fichier :
- Utilisation sur ar.wikipedia.org
- Utilisation sur en.wikipedia.org
- Utilisation sur es.wikipedia.org
- Utilisation sur ro.wikipedia.org
- Utilisation sur ru.wikipedia.org
- Utilisation sur uk.wikipedia.org
- Utilisation sur www.wikidata.org
.svg){kind=link}