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.PS
# Geometry.m4
gen_init
scale = 5/4
A: Here; "A" at A above
B: A+(-1,-3.5); "B" at B below rjust
C: B+(4.6,0); "C" at C below ljust
AB: line from A to B
BC: line from B to C
CA: line from C to A
PerpTo(A,BC,L); "L" at L below
AL: line from A to L; RightAngle(A,L,C)
angleLAC = atan2(C.x-L.x,A.y-L.y)
S: move from A to (sin(angleLAC/2),-cos(angleLAC/2))
AW: line from A to Intersect_(S,BC)
W: Here; "W" at W below rjust
PerpTo(C,AB,N); "N" at N above rjust
CN: line from C to N; RightAngle(C,N,B)
PerpTo(B,CA,M); "M" at M above
CM: line from B to M; RightAngle(B,M,C)
H: Intersect_(CN,AL); "H" at H +(4bp__,10bp__)
thinlines_
Equidist3(B,L,N,CC1,c1rad); C1: circle rad c1rad at CC1
Equidist3(B,W,N,CC2,c2rad); C2: circle rad c2rad at CC2
Equidist3(B,C,N,CC3,c3rad); C3: circle rad c3rad at CC3
Equidist3(W,C,M,CC4,c4rad); C4: circle rad c4rad at CC4
thicklines_
Z: LCintersect(AW,CC2,C2.rad); "Z" at Z+(-5bp__,-5bp__)
HZ: move from H to Z
Y: LCintersect(HZ,CC4,C4.rad,R); "Y" at Y above
X: LCintersect(HZ,CC2,C2.rad); "X" at X above rjust
Loopover_(`P',`dot(at P)',X,Y,Z)
line dashed from X to Y chop -linewid/2
RightAngle(A,Z,Y)
.PE
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