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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 223

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 223
res of similitude respectively. Through K and 0 draw the transversals GG and OB and radiito their points of intersection with the circles. By the definition of the centre of similitude, AO : OB :: AC : BC\ or, alternately, AO : AC :: BO : BC\ M. G. 13 o. 194 EXERCISES ON EUCLID [2 but the angle AOC… … Similarly, AD and ^Z) are parallel, and OB : OB :: ^7) : ££. In like manner it can be proved that AF and BF are parallel,and AG and BC, and that .O7 ; KF ;: ^ ; BF andX£ : A^£ :: AG ; BC. Therefore, the distances of any two corresponding points from acentre of similitude are proportional to the…

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