1.Construct this pretty flower
2.Construct the line segments joining (cos(t),0) with (0,sin(t)) as t ranges over [0,2p].
3.Construct the velocity vector field along a constant motion around a circle.
4.Construct this figurer.
5.Construct the line segments joining [cos(t),sin(t)] with [cos(2t),sin(2t)] as tranges over [0,2p].
6.Construct this figure.
7.Construct this graph associated with the logistic equation x ' = ax(1-x)
8.Draw 20 concentric circles as thus.
9.Construct the circles with center at (cos(t),sin(t)) passing through the point (1,0) with t ranging over [0,2p].
10.Construct the circles with center at (cos(t),sin(t)) and tangent to the y-axis with t ranging over [0,2p].
11.Construct the circles with center at (cos(t),sin(t)) and and passing through 　(2cos(t)/3+cos(2t)/3,2sin(t)/3+sin(2t)/3) with t ranging over [0,2p].(題目和圖形不符）
　
12.Construct this figure.
13.Construct this pattern.
14.Construct the reflections of a light ray inside a square.

Construct the circles with center at (cos(t),sin(t)) and and passing through (2cos(t)/3+cos(2t)/3,2sin(t)/3-sin(2t)/3) with t
ranging over [0,2 p ].

> restart:

> x:=cos(t):

> y:=sin(t):

> r:=((x-2*cos(t)/3-cos(2*t)/3)^2+(y-2*sin(t)/3+sin(2*t)/3)^2)^(1/2);

> m:=[x+r*sin(s), y+r*cos(s), s=-Pi..Pi]:

> t:=n*Pi/50:

> plot([m$n=1..100],color=red,axes=none,scaling=constrained);

此題題目錯了, 若照原來題目則答案如 下:

Construct the circles with center at (cos(t),sin(t)) and and passing through (2cos(t)/3+cos(2t)/3,2sin(t)/3+sin(2t)/3) with t
ranging over [0,2 p ].

> restart:

> x:=cos(t):

> y:=sin(t):

> r:=((x-2*cos(t)/3-cos(2*t)/3)^2+(y-2*sin(t)/3-sin(2*t)/3)^2)^(1/2);

> m:=[x+r*sin(s), y+r*cos(s), s=-Pi..Pi]:

> t:=n*Pi/50:

> plot([m$n=1..100],color=red,axes=none,scaling=constrained);