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Cat-and-mouse pursuit, Page 81, Dr. Euler's Fabulous Formula 

Fast Cat

Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
Typesetting:-mrow(Typesetting:-mi(
for n from 2 to N do `:=`(x[n], `+`(x[`+`(n, `-`(1))], `Δx`(`+`(n, `-`(1))))); `:=`(y[n], `+`(y[`+`(n, `-`(1))], `Δy`(`+`(n, `-`(1))))) end do; -1
`:=`(C, seq([evalf(x[n]), evalf(y[n])], n = 1 .. N)); -1
`:=`(M, seq([cos(t[n]), sin(t[n])], n = 1 .. N)); -1
plot([[M], [C]], color = [gray, brown], legend = [[

Plot_2d