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- ...e dubbed <math>pow(P, \omega)</math>, is defined to equal <math>|OP|^2 - r^2</math>. ...n the radical axis if and only if <cmath>|PO_1|^2 - r_1^2 = |PO_2|^2 - r_2^2</cmath> (i.e., the radical axis is the line that one gets when you subtract12 KB (2,125 words) - 08:38, 23 May 2024
- ...math>D\equiv\omega\cap\omega_{1}</math> and <math>E\equiv\omega\cap\omega_{2}</math>. The solution relies on the following key claim: ...e by <math>O_{1}, O_{2}, O</math> the centers of <math>\omega_{1}, \omega_{2}, \omega</math> respectively.17 KB (2,852 words) - 03:59, 7 February 2024
- ...h>Z</math>, and <math>M_3</math> are collinear. Thus we have <cmath> \text{Pow}(M_3,(XYZ)) = M_3Z \cdot M_3X = \frac 14 AB \cdot DE </cmath> by midlines. ...2=b+d+f </cmath> <cmath> h = x+y+z = (a+d)/2+(b+e)/2+(c+f)/2=(a+b+c+d+e+f)/2.</cmath>5 KB (875 words) - 00:26, 23 May 2023
