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% avalzero.mp
% L. Nobre G.
% 1999
verbatimtex \documentclass{article} \usepackage{palatino} \usepackage{concmath} \usepackage{ccfonts} \begin{document} etex
beginfig(1); % crescente
numeric u;
u = 1in;
draw fullcircle scaled 2u;
draw (left--right) scaled u;
draw (down--up) scaled u;
draw (left--up) scaled u;
draw (left--down) scaled u;
path int, cresc, out;
int = halfcircle rotated -90 scaled (2*1.414u) shifted ((-0.999,0)*u);
out = halfcircle rotated -90 scaled 2u;
cresc = buildcycle( int, reverse out );
fill cresc withcolor 0.5white;
draw cresc withpen pencircle scaled 1pt;
endfig;
beginfig(2); % trapezio
numeric u, ind, esq[], rig[], h[], ch;
pair hlab[];
u = 0.55in;
ch = 0;
for ind=0 upto 4:
esq[ind] = -abs(((normaldeviate)-1.5)*u);
rig[ind] = abs(((normaldeviate)+1.5)*u);
h[ind] = (abs((normaldeviate)+0.25)*u/4)+2mm+ch;
ch := ch+h[ind];
endfor;
draw (esq0,h0)--(rig0,h0);
for ind=1 upto 4:
draw (esq[ind-1],h[ind-1])--(esq[ind],h[ind]);
draw (rig[ind-1],h[ind-1])--(rig[ind],h[ind]);
draw ((esq[ind],h[ind])--(rig[ind],h[ind])) dashed evenly;
hlab[ind] = (0,(h[ind]+h[ind-1])/2);
endfor;
draw (esq4,h4)--(rig4,h4);
draw ((0,h0)--(0,h4)) dashed evenly;
label.rt( btex $h_1$ etex, hlab1 );
label.rt( btex $h_2$ etex, hlab2 );
label.rt( btex $h_3$ etex, hlab3 );
label.rt( btex $h_4$ etex, hlab4 );
label.top( btex $l_0$ etex, ((rig0+esq0)/2,h0) );
label.top( btex $l_1$ etex, ((rig1+esq1)/2,h1) );
label.top( btex $l_2$ etex, ((rig2+esq2)/2,h2) );
label.top( btex $l_3$ etex, ((rig3+esq3)/2,h3) );
label.top( btex $l_4$ etex, ((rig4+esq4)/2,h4) );
endfig;
beginfig(3); % olimpiad
numeric u;
u=1in;
path squr, arcir, vert, horiz, area;
squr = unitsquare scaled u;
arcir = halfcircle scaled 2u;
vert = (origin--up) scaled u shifted (u/2,0);
horiz = (origin--right) scaled u shifted (0,u/2);\
area = buildcycle( vert, arcir, horiz );
fill area withcolor 0.5white;
draw area withpen pencircle scaled 1pt;
draw squr;
draw arcir cutafter squr;
draw vert;
draw horiz;
endfig;
beginfig(4); % ortoproj
numeric u;
u=1in;
draw unitsquare scaled u;
path one, two;
one = (0.5,0)--(0.5,0.5)--(1,1);
two = (0,1)--(0.5,0.5);
draw one scaled u;
draw two scaled u;
draw currentpicture shifted (0,1.5u);
endfig;
verbatimtex \end{document} etex
end;
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