Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 250
to the triangle BEC, and the square on its radius is equal toEO. 0H= GO. OB = CO. OK. Therefore the circle (0) will cutorthogonally the circle on EF, as diameter, for this circle passesthrough H since EHF is a right angle. Similarly, CO. OK= squareon tangent from 0 to circle on diameter AC, since… … Therefore the circle self-conjugate to the triangle BEG cutsorthogonally the circles on the three diagonals, as diameters. In like manner it can be proved that the circles self-conjugateto the other three triangles cut the same three circles orthogonally.And it has been proved in (217) that the…
Geometry
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