Figure Asymptote geometry -- 004
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Show geometry/fig0040.asy on Github.
Generated with Asymptote 3.00-0.
Categories : Examples 2D | Geometry.asy
Tags : #Geometry | #Coords system | #Point | #Pair | #Point/Dot
size(8cm,0); import geometry; coordsys R=defaultcoordsys; show(R); coordsys Rp=cartesiansystem((0.5,0.5), i=(0.35,0.35), j=(-0.35,0.35)); show("$O'$", "$\vec{\imath'}$", "$\vec{\jmath'}$", Rp, ipen=blue, xpen=invisible); coordsys Rpp=cartesiansystem((-1,-0.5), i=rotate(-90)*(0.35,0.35), j=rotate(-90)*(-0.35,0.35)); show("$O''$", "$\vec{\imath''}$", "$\vec{\jmath''}$", Rpp, ipen=green, xpen=invisible); pair m=(1,1); /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(coordsys,pair,real)"/></asyxml>*/ dot("",point(R,m),red); // Same as 'dot("",m,red);' dot("",point(Rp,m),blue); point M=m; /*<asyxml><view file="modules/geometry.asy" type="point" signature="point(coordsys,explicit point,real)"/></asyxml>*/ dot("",point(Rpp,M),green); // Works also with 'point' pair p=(-0.75,0.75); point P=point(R,(-0.75,0.75)); dot("$P$",P,2E,4mm+red); // There are two methods for changing // the coordinate system of a point (or a pair) /*<asyxml><view file="modules/geometry.asy" type="pair" signature="/(pair,coordsys)"/></asyxml>*/ dot("$P'$",point(Rp,p/Rp),2S,3mm+blue); // Necessary for 'pair' dot("$P'$",point(Rp,P/Rp),2N,3mm+blue); // but works with 'point' by casting. /*<asyxml><view file="modules/geometry.asy" type="point" signature="changecoordsys(coordsys,point)"/></asyxml>*/ dot("$P''$",changecoordsys(Rpp,P),2W,1.5mm+green); // Useful for 'point'.