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1、正向边界曲线,April 24, 2012,一个平面区域的边界曲线的正向是这样规定的:当你沿着边界的正向行走时,你附近的区域总是在你的左边。 以下动画显示了正向边界曲线的方向。,动画的Maple程序 with(plots): x:=t-2*cos(t):y:=t-sin(t): Quxian:= plot(x(t),y(t),t=02*Pi,thickness=5,color=gray,filled=true): K:=40: for i from 1 to K do ti:=i*2*Pi/K:quxiani:=plot(x(t),y(t),t=0ti,thickness=3):od: qux
2、ian:=display(seq(quxiani,i=1K),insequence=true): display(quxian,Quxian,scaling=constrained);,动画的Maple程序 with(plots): x1:=t-4*cos(t):y1:=t-2*sin(t): x2:=t-cos(t):y2:=t-sin(t): Quxian1:= plot(x1(t),y1(t),t=02*Pi,color=green,filled=true): Quxian2:= plot(x2(t),y2(t),t=02*Pi,color=white,filled=true): K:=
3、50: for i from 1 to K do ti:=i*2*Pi/K: quxian1i:=plot(x1(t),y1(t),t=0ti,thickness=4): quxian2i:=plot(x2(-t),y2(-t),t=0ti,thickness=4):od: quxian1:=display(seq(quxian1i,i=1K),insequence=true): quxian2:=display(seq(quxian2i,i=1K),insequence=true): display(quxian2,quxian1,Quxian2,Quxian1,scaling=constr
4、ained);,动画的Maple程序 with(plots): x1:=t-4*cos(t):y1:=t-2*sin(t): x2:=t-1.4*cos(t)-1:y2:=t-1.2*sin(t): x3:=t-cos(t)+2:y3:=t-sin(t)/2: Quxian1:= plot(x1(t),y1(t),t=02*Pi,color=gray,filled=true): Quxian2:= plot(x2(t),y2(t),t=02*Pi,color=white,filled=true): Quxian3:= plot(x3(t),y3(t),t=02*Pi,color=white,f
5、illed=true): K:=50: for i from 1 to K do ti:=i*2.5*Pi/K: quxian1i:=plot(x1(t),y1(t),t=0ti,thickness=4): quxian2i:=plot(x2(-t),y2(-t),t=0ti,thickness=4): quxian3i:=plot(x3(-t),y3(-t),t=0ti,thickness=4):od: quxian1:=display(seq(quxian1i,i=1K),insequence=true): quxian2:=display(seq(quxian2i,i=1K),insequence=true): quxian3:=display(seq(quxian3i,i=1K),insequence=true): display(quxian3,quxian2,quxian1,Quxian3,Quxian2,Quxian1,scaling=constrained);,
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