Figure Asymptote geometry -- 074
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Show geometry/fig0740.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Abscissa | #Ellipse | #Point
import geometry; unitsize(2cm); // currentcoordsys=cartesiansystem((0,0),i=(1,0.5),j=(-0.5,.75)); show(currentcoordsys, xpen=invisible); point A=(-2,2); dot("$A$",A,S); point B=A+(cos(0.5),cos(1)); dot("$B$",B,S); ellipse el=ellipse(A,3,2,0); draw(el); line l=line(A,B); draw(l); point M=intersectionpoints(l,el)[0]; point P=intersectionpoints(l,el)[1]; /*<asyxml><view file="modules/geometry.asy" type="void" signature="dot(picture,Label,explicit point,align,string,pen)"/></asyxml>*/ dot("",M,2E,linewidth(2mm)); dot("$M$",M,2W); dot("",P,2E); dot("$P$",P,2W,linewidth(2mm)); pair p=A-(4,2.5); transform t=shift((0,-0.3)); transform T=shift((4,0)); real x; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="angabscissa(ellipse,point,polarconicroutine)"/></asyxml>*/ x=angabscissa(el,M).x; label("angabscissa(el,M).x=$"+(string)x+"^\circ$",p,E); dot(angpoint(el,x),1mm+red); x=angabscissa(el,P).x; label("angabscissa(el,P).x=$"+(string)x+"^\circ$",T*p,E); dot(angpoint(el,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="curabscissa(ellipse,point)"/></asyxml>*/ x=curabscissa(el,M).x; dot(curpoint(el,x),1mm+red); label("curabscissa(el,M).x="+(string)x,p,E); x=curabscissa(el,P).x; label("curabscissa(el,P).x="+(string)x,T*p,E); dot(curpoint(el,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="nodabscissa(ellipse,point)"/></asyxml>*/ x=nodabscissa(el,M).x; label("nodabscissa(el,M).x="+(string)x,p,E); dot(point(el,x),1mm+red); x=nodabscissa(el,P).x; label("nodabscissa(el,P).x="+(string)x,T*p,E); dot(point(el,x),1mm+red); p=t*p; /*<asyxml><view file="modules/geometry.asy" type="abscissa" signature="relabscissa(ellipse,point)"/></asyxml>*/ x=relabscissa(el,M).x; label("relabscissa(el,M).x="+(string)x,p,E); dot(relpoint(el,x),1mm+red); x=relabscissa(el,P).x; label("relabscissa(el,P).x="+(string)x,T*p,E); dot(relpoint(el,x),1mm+red);