An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 82
on a circle, and if A, B, C, Dbe the orthocentres of the triangles BCD, CDA, DAB, ABC, show that AA,Bff, CC, DD will be concurrent. 116. If ABC be any triangle, the lines AX, BY, GZ, drawnso as to make the angles BAX, AGY, GBZ equal, are concurrent(§ 100, Ex. 7). The point in which these lines… … By § 100, Ex. 7, we see that each of the angles BAD,, HAG is equal to m, where cot m = cot -4 + cot -B + cot G. L. 66 THE CIECUMCIECLE The angle to is called the Brocard angle of the triangle. From I 101, it follows that the Brocard points O, O areisogonal conjugate points with respect to the…
Geometry
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