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 125
to CAO. The circle described from the centre 0 at thedistance AO or OC is evidently the required circle. 133. Describe a circle touching a given circle, and a givenstraight line at a given point. Let 0 be the centre of the given circle, and A the given pointin the given straight line AB. Through 0… … and H respsctively. The circles described with centres C and Hand radii CF and HG respectively, will be the required circles. Because CA and DB are perpendicular to the same line AB, theyare parallel. Therefore the angle FDO is equal to FAC. DOF is an isoscelestriangle, therefore ACF is also an…
Geometry
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