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+.PS
+# GeometryDPV.m4
+# Some constructions from https://tex.stackexchange.com/
+gen_init
+maxpswid = 10
+
+Fig1: [
+# FourbarDPV.m4
+# https://tex.stackexchange.com/questions/563831/how-to-draw-four-bar-linkage-with-center-of-mass
+ls = 1/25.4 # local scale
+
+ a = 18*ls
+ b = 73*ls
+ c = 47*ls
+ d = 72*ls
+ A0: Here
+ B0: A0+(d,0)
+ circlerad = 1*ls
+
+define(`pivot',`[
+ C: circle
+ line down_ 4*ls from C+(2*ls,0)
+ arc from last line.start to C+(-2*ls,0) with .c at C
+ line down_ 4*ls
+ B: line thick 1.6 right 7*ls with .c at (C,Here)
+ thinlines_
+ sep = 0.9*ls
+ nhash = B.len/sep
+ for i=0 to nhash do { line down sep left sep from B.end-(i/nhash*B.len,0) }
+ thicklines_
+ ]')
+
+ pivot with .C at A0; "A`'svg_sub(0)" at A0-(5,0)*ls
+ circle dashed rad a at A0
+ pivot with .C at B0; "B`'svg_sub(0)" at B0-(5,0)*ls
+ "d = A`'svg_sub(0)B`'svg_sub(0)" at 0.5<A0,B0>
+
+ B1: Cintersect(A0,a+b,B0,c)
+ B2: Cintersect(A0,b-a,B0,c)
+ arc dashed from B1 to B2 with .c at B0
+
+ A0B1: line thick 1.6 from A0 to B1 chop 2*ls chop 0
+ line thick 1.6 from B0 to B1 chop 2*ls chop 0 "c" ljust
+ circle fill_(1) at B1; "B`'svg_sub(1)" wid 3*ls at B1+(5,0)*ls
+ A1: circle fill_(1) at LCintersect(A0B1,A0,a,R)
+ "A`'svg_sub(1)" at A1+(5,0)*ls
+
+ A2: b/(b-a) between B2 and A0; "a" at 0.4<A2,A0> above rjust
+ "b" at 0.4<A1,B1> above rjust
+ A2B2: line thick 1.6 from A2 to B2
+ line thick 1.6 from B0 to B2 chop 2*ls chop 0
+ circle fill_(1) at B2; "B`'svg_sub(2)" at B2+(5,0)*ls
+ circle fill_(1) at A2; "A`'svg_sub(2)" at A2+(5,0)*ls
+
+ thinlines_
+ line from B0+(3*ls,0) right 4*ls
+ ArcAngle(Here,B0,B1,5*ls) ->; "svg_psi`'svg_sub(0)" at last arc.ne above ljust
+ ArcAngle(B1,B0,B2,8*ls) ->; "svg_psi" at last arc.n+(-3*ls,0) above
+ ArcAngle(A1,A0,B2,b*0.45) ->; "svg_theta" at last arc.start+(0,4*ls)
+ line from A0+(3*ls,0) right 8*ls
+ ArcAngle(Here,A0,B1,9*ls) ->; "svg_theta`'svg_sub(0)" \
+ at last arc.start+(2,2)*ls
+ ]
+
+Fig2: [
+# FourbarDPV.m4
+# https://tex.stackexchange.com/questions/609452/help-drawing-a-more-sophisticated-right-triangle-with-tikz-or-something-else
+
+ textkht = 12/72
+ unit = 0.6
+ C: Here; { "C" at C rjust below }
+ B: C+(4*unit,0); { "B" at B ljust below }
+ A: C+(0,3*unit); { "A" at A rjust above }
+ H: PerpTo(C,A,B); { "H" at H ljust above }
+ line from C to H then to B then to C shaded rgbstring(0.5,0.8,0.9)
+# line from C to H then to B then to C shaded "CornflowerBlue"
+ line from C to H then to A then to C shaded rgbstring(0.8,0.9,0.7)
+# line from C to H then to A then to C shaded "SpringGreen"
+ ArcAngle(C,A,B,unit*0.4)
+ ArcAngle(C,A,B,unit*0.5)
+ ArcAngle(A,B,C,unit*0.5,,"svg_theta" rjust)
+ ArcAngle(B,C,H,unit*0.5); {"svg_theta" at C+(unit*0.3,unit*0.17) }
+ ArcAngle(B,C,A,unit*0.6)
+ RightAngle(B,C,A,unit*0.17)
+ RightAngle(C,H,A,unit*0.17)
+ ] with .nw at Fig1.sw+(0.2,0)
+
+
+Fig3: [ ls = 3/4 # local scale
+# https://tex.stackexchange.com/questions/593272/drawing-complex-geometry
+ P: dot(at Here); "P" at P.s below
+ N: dot(at P+(3.5*ls,1.5*ls)); "N" at N.se ljust below
+ O: dot(at (N,P)); "O" at O.s below
+ R: dot(at 1/3 between O and P);"R" at R.s below
+ M: dot(at (R,N)); "M" at M.se ljust below
+ Q: dot(at (M.x,M.y+distance(M,N)/distance(N,O)*distance(P,O)));"Q" at Q.e ljust
+ line from P to Q then to N then to O
+ B: line to P chop -0.3
+ line from M to N
+ Pu: line from R to Q chop 0 chop -0.3
+ H: line from P to N chop 0 chop -0.3
+ X: dot(at Intersect_(Pu,H)); "X" at X.se ljust below
+ thinlines_
+ RightAngle(Q,M,N)
+ RightAngle(Q,N,H.end)
+ RightAngle(N,O,B.start)
+ ArcAngle(N,P,Q,0.4); "svg_beta" at last arc.ne above ljust
+ ArcAngle(O,P,N,0.5); "svg_alpha" at last arc.start+(5bp__,8bp__)
+ ArcAngle(R,Q,N,0.5); "svg_alpha" at last arc.start+(8bp__,-5bp__)
+ ] with .sw at Fig2.e+(-0.2,-0.7)
+
+Fig4: [ ls = 2/3 # local scale
+ A: Here; "A" at A above
+ B: A+(-1*ls,-3.5*ls); "B" at B below rjust
+ C: B+(4.6*ls,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)
+ ] with .sw at (Fig3.e,Fig2.s)
+
+.PE