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%%
%% Ein Beispiel der DANTE-Edition
%%
%% 2. Auflage
%%
%% Beispiel 15-02-20 auf Seite 723.
%%
%% Copyright (C) 2016 Herbert Voss
%%
%% It may be distributed and/or modified under the conditions
%% of the LaTeX Project Public License, either version 1.3
%% of this license or (at your option) any later version.
%%
%% See http://www.latex-project.org/lppl.txt for details.
%%
%%
%% ====
% Show page(s) 1
%%
defaultfont:="ptmr8r";
warningcheck:=0;
% --- start of displayed preamble in the book ---
% --- end of displayed preamble in the book ---
% %
beginfig(1)
vardef zeichneWinkelhalbierende(expr A,B,C,S) =
save AA; pair AA; (AA-A)=whatever*((A-C)
rotated 1/2(angle(B-A)-angle(C-A)));
AA=whatever[B,C];
draw A--AA dashed evenly; S=AA;
enddef;
u:=2cm; pair A,AA,B,BB,C,CC,M,SS;
A=(0,1u); B=(3u,0.5u); C=(u,2.5u);
draw A--B--C--cycle;
zeichneWinkelhalbierende(A,B,C,AA);
zeichneWinkelhalbierende(B,C,A,BB);
zeichneWinkelhalbierende(C,A,B,CC);
M=whatever[A,AA]; M=whatever[B,BB];
SS=whatever[A,B]=whatever[M,M+((B-A) rotated 90)];
draw fullcircle scaled 2 length(SS-M)
shifted M withpen pencircle scaled 2bp;
endfig;
end;
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