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% raiodoscirculos.mp
% L. Nobre G.
% 2014
beginfig(1);
numeric u, r, p;
u = 2cm;
r = 2/(3+sqrt(7));
p = u/40;
pen mypen;
mypen = pencircle scaled p;
drawoptions( withpen mypen );
path mysquare, halcir, fulcir;
mysquare = origin--right--(right+up)--up--cycle;
halcir = halfcircle scaled 2r shifted (r*right);
fulcir = fullcircle scaled 2r shifted ((1-r)*(right+up));
draw mysquare scaled u;
draw halcir scaled u;
draw fulcir scaled u;
endfig;
beginfig(2);
drawoptions( withpen mypen );
draw mysquare scaled u;
r := (sqrt(5)-1)/2;
halcir := halfcircle shifted (right/2);
draw halcir scaled u;
path quarcirc;
quarcirc = (halfcircle cutafter (origin--up)) rotated 180;
draw quarcirc scaled 2r shifted (right+up) scaled u;
endfig;
beginfig(3);
drawoptions( withpen mypen );
draw mysquare scaled u;
draw halcir scaled u;
r := 2-sqrt(3);
draw fullcircle scaled 2r shifted ((1-r)*(right+up)) scaled u;
endfig;
beginfig(4);
drawoptions( withpen mypen );
draw mysquare scaled u;
draw halcir scaled u;
r := 1/3;
path secondhalfcircle;
secondhalfcircle = halfcircle scaled 2r rotated 90 shifted (1,1-r);
draw secondhalfcircle scaled u;
endfig;
beginfig(5);
drawoptions( withpen mypen );
draw mysquare scaled u;
r := sqrt(2)-1;
draw quarcirc scaled 2 shifted (right+up) scaled u;
draw quarcirc rotated 180 scaled (2r*u);
endfig;
beginfig(6);
drawoptions( withpen mypen );
draw mysquare scaled u;
r := 1/4;
halcir := halfcircle scaled 0.5 shifted (r*right);
draw halcir scaled u;
draw quarcirc scaled 2 shifted (right+up) scaled u;
endfig;
beginfig(7);
drawoptions( withpen mypen );
path thisquare;
thisquare = mysquare scaled u;
draw thisquare;
r := (sqrt(7)-1)/3;
halcir := (halfcircle scaled 2r shifted (r*right)) cutbefore mysquare;
draw halcir scaled u;
draw quarcirc scaled 2r shifted (right+up) scaled u;
endfig;
beginfig(8);
drawoptions( withpen mypen );
draw mysquare scaled u;
r := 1/(1+sqrt(2));
draw quarcirc rotated 180 scaled (2r*u);
draw fullcircle scaled 2r shifted ((1-r)*(right+up)) scaled u;
endfig;
beginfig(9);
drawoptions( withpen mypen );
draw mysquare scaled u;
r := 1/(1+sqrt(2));
halcir := halfcircle scaled 2r shifted (r*right);
draw halcir scaled u;
secondhalfcircle := halfcircle scaled 2r rotated 90 shifted (1,1-r);
draw secondhalfcircle scaled u;
endfig;
end.
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