Re: Mathematics Behind the scene

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ASK 3 Apr 2018 02:04

and it is easy to find with Maxima:

d2(x1,y1,x2,y2):=(x2-x1)^2+(y2-y1)^2;

x1: 0; /* even simpler if we assume x1=0 */

a1: d2(x1,y1,x,0); a2: d2(x2,y2,x,0); d: d2(x1,y1,x2,y2); /* the triangle */

ca: (a1+a2-d)/(2*sqrt(a1*a2)); /* cos of the angle */

s:solve(diff(ca,x)=0,x),ratsimp; /* solutions have y2-y1 as the denominator, so */

s1:solve(diff(ca,x)=0,x),y2=y1,ratsimp; /* let us solve it in this special case */