Файл:Гиперцикл (векторный формат).svg

<?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" > Точка </Point> <Point name= "P2" n= "3" color= "2" x= "2.979143520318564" y= "1.6522357218209853" shape= "circle" > Точка </Point> <Circle name= "c4" n= "4" color= "4" type= "thick" through= "P2" midpoint= "P1" shark= "true" > Окружность центра P1 относительно P2 </Circle> <Ray name= "r6" n= "8" color= "4" type= "thin" from= " P1" to= "P2" > Полукруг от P1 до точки P2 </Ray> < PointOn name= "P3" n= "5" color= "2" on= "c4" alpha= "-1.3008839324204509" x= "0.7228408399411335" y=" "-4.148931912413665" shape= "circle" > Точка на c4 </PointOn>                                                                   <Plumb name= "p6" n= "19" color= "4" type= "thin" point= "P2" line= "r6" valid= "true" > Сетка перпендикулярна P2 и r6 </Plumb> <Line name= "l1" n= "164" color= "2" type= "thin" from = "P2" to= "P3" > Сетка между P2 и P3 </Line> <Ray name= "r7" n= "11" color= "4" type= "thin" from= "P1" to= " P3 " > Полусфера от P1 к P3 </Ray> <PointOn name= "P25" n= "665" color= "4" type= "thin" on= "p6" alpha= "-9.490235681942561" x= "8.01229196989879" y= "-6.393383582079987" shape= "circle" > Точка на 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" shark= "true" > Угол P1 - P2 - P25 </Angle> <Plumb name= "p5" n= "16" color= "4" type= "thin" point= "P3" line= "r7" valid= "true" > Перпендикулярный угол между P3 и r7 </Plumb> <Intersection name= "P4" n= "20" color= "4" type= "thin" first= "p5" second= "p6" shape= "circle" > Пересечение между p5 и p6                                                                                    </Intersection> <Circle name= "c5" n= "23" color= "4" type= "thin" through= "P2" midpoint= "P4" shark= "true" > Окружность центра P4 относительно 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" shark= "true" > Угол P4 - P3 - P1 </Angle> <Ray name= "r8" n= "26" color= "4" type= "thin" from= "P1" to= "P4" > Полукруг от точки P1 к точке P4 </Ray> < Intersection name= "P5" n= "27" color= "4" type= "thin" hidden= "true" first= "r8" second= "c5" shape= "circle" which= "second" > Пересечение между r8 и 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" > Точка à " if(a(C,A,B) < 180,x(A),x(C)) " , " if(a(C,A,B) < 180,y(A),y(C)) " </Point> < Имя точки= "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" > Точка à " if(a(C,A,B) < 180,x(C),x(A)) " , " if(a(C,A,B) < 180,y(C),y(A)) " </Point> < Имя точки= "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" > Точка 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( Р4)^2+у(Б)*х(Р5)^2-у(Б)*х(Р4)^2)/(2*х(Б)*у(Р4)+(-(2*х(Б)))*у(Р5)+(-(2*у(Р4)))*х(Р5)+2*у(Р5)*х(Р4)+2*у(Б)*х(Р5)+(-(2*у(Б)))*х(Р4)) " ," (-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 (Б)^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" > Окружность центра P8 для P6 </Circle> <PointOn name= "Q" n= "165" color= "2" on= "L" alpha= " 0.35965931700710363" x= "1.3042609370095848"                                            y= "-0.036445054315230596" shape= "circle" > Точка на L </PointOn> <Ray name= "r1" n= "168" color= "2" type= "thin" from= "P4" to= "Q" > Полусфера от P4 к точке P9 </Ray> <Intersection name= "P10" n= "171" color= "2" first= "r1" second= "c5" shape= "circle" which= "first" > Пересечение между r1 и c5 </Intersection> <PointOn name= "P26" n= "672" color= "2" type= "thin" on= "r1" alpha= "15.170117334741487" x= "-7.186583640898022" у= "5.17879347304011" shape= "circle" > Точка на r1 </PointOn> <Plumb name= "p1" n= "172" color= "2" type= "thin" point= "P10" line= "r1" valid= "true" > Перпендикулярная сетка относительно P10 к r1 </Plumb> <Intersection name= "P11" n= "173" color= "2" type= "thin" first= "p1" second= "l1" shape= "circle" > Пересечение между p1 и l1 </Intersection> <Circle name= "c1" n= "182" color = "4" through= "Q" midpoint= "P11" shark= "true" > Окружность центра P11 относительно P9 </Circle> <Angle name= "a3" n= "a3" n="a3" "673" цвет = "1" xcoffset = "-0,15796157058386534" ycoffset = "0,26149587713689254" единица измерения = "°" первая = "P11" корень = "Q" вторая = "P26"                                                                                display= "small" filled= "true" shark= "true" > Угол P11 - P9 - P26 </Angle> <Intersection name= "A" n= "183" color= "2" type= "thin" first= "c4" second= "c1" shape= "circle" which= "second" > Пересечение между c4 и c1 </Intersection> <Intersection name= "B" n= "184" color= "4" type= "thin" first= "c4" second= "c1" shape= "circle" which= "first" > Пересечение между c4 и c1 </Intersection> <Ray name= "r2" n= "187" color= "2" type= "thin" from= "P1" to= "A" > Полусфера от P1 к точке 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" > Точка 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" > Точка à                                                                          " если(a(C,A,B) < 180,x(C),x(A)) " , " если(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" shark= "true" > Угол 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" shark= "true" > Угол P1 - P13 - P11 </Angle> <Ray name= " r9" n= "679" color= "2" type= "thin" from= "P11" to= "A" > Полумесяц P11 направлен к 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" > Точка 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( Р4)^2+у(В)*х(Р5)^2-у(В)*х(Р4)^2)/(2*х(В)*у(Р4)+(-(2*х( Б)))*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+ х(В)*у(Р4)^2-х(В)*у(Р5)^2-х(Р4)^2*х(Р5)+х(Р4)*х(Р5)^2+х( Р4)*y(Р5)^2-x(Р4)*y (В)^2-x(P5)*y(P4)^2+x(P5)*y(B)^2)/(2*x(B)*y(P4)+(-(2*x (Б)))*y(P5)+2*x(P4)*y(P5)+(-(2*x(P4)))*y(Б)+(-(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" > Окружность центра P16 на P14 </Circle> <PointOn name= "P" n= "320" type= "thick" showname= "true" on= "c2" alpha= "0.24117720898094178" x= "-0.543990769442031" y= "1.885354588467374" shape= "circle" > Точка на c2 </PointOn> <Midpoint name= "P17" n= "325" color= "2" type= "thin" hidden= "true" first=" "P" second= "Q" shape= "circle" > Точка посередине между P и P9 </Midpoint> <Point name= "P22" n= "659" type= "thick" hidden= "super" showname= "true" " bold= "истина" large= "истина" x= "если(a(P3,P2,P)<180,x(P2),x(P3))" actx= "0.7228408399411335" y= "если(a (P3,P2,P)<180,y(P2),y(P3))" acty= "-4.148931912413665" shape= "circle" fixed= "true" > Точка à " if(a(C,A,B) < 180,x(A),x(C)) " , " if(a(C,A,B) < 180,y(A),y(C)) " </Point> < Имя точки= "P23" n= "660" тип=                                                           "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" > Точка 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" > Полусфера от P11, точка 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" > Точка 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( Р4)^2+у(Б)*х(Р5)^2-у(Б)*х(Р4)^2)/(2*х(Б)*у(Р4)+(-(2*х(Б)))*у(Р5)+(-(2*у(Р4)))*х(Р5)+2*у(Р5)*х(Р4)+2*у(Б)*х(Р5)+(-(2*у(Б)))*х(Р4)) " ," (-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"                                            >  Перпендикулярная прямая  к  P  a  r11 </Plumb> <Circle name= "HC" n= "662" color= "5" type= "thick" showname= "true" through= "P22" midpoint= "P24" start= "P23" end= "P22" > Окружность центра P24 к P22 </Circle> <PointOn name= "P27" n= "703" color= "2" type= "thin" on= " p3" alpha= "10.064889748723015" x= "4.385237697241658" y= "-6.889878307426889" shape= "circle" > Точка над 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" shark= "true" > Угол P11 - P - P27 </Angle> <Ray name= "r4" n= "328" color= "2" type= "thin" from= "P1" to= " P17 " > Полукруг от P1 через P17 </Ray> <Intersection name= "P18" n= "329" color= "4" type= "thin" hidden= "true" first= "r4" second= "c1" shape= "circle" which= "second" > Пересечение между r4 и c1 </Intersection> <Point name= "P19" n= "410" type= "thick" hidden= "super" showname= "истина" bold= "истина" large= "истина" 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" > Точка 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" > Точка à " if(a(C,A,B) < 180,x(C),x(A)) " , " if(a(C,A,B) < 180,y(C),y(A)) " </Point> <Имя точки = "P21" n = "412" скрыто = "супер" 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" > Точка 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( Р4)^2+у(Б)*х(Р5)^2-у(Б)*х(Р4)^2)/(2*х(Б)*у(Р4)+(-(2*х(Б)))*у(Р5)+(-(2*у(Р4)))*х(Р5)+2*у(Р5)*х(Р4)+2*у(Б)*х(Р5)+(-(2*у(Б)))*х(Р4)) " ," (-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 (Б)^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" > Окружность центра P21 по P19 </Circle> </Objects> </Construction> </CaR>