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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 229

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 229
Fig. 2. 200 EXERCISES ON EUCLID [229. centre of the variable circle touching the two former in the pointsD, E. Join AG and BG, passing respectively through D and E(III. 11, 12), and let DE and AB meet in S. Then shall S be acentre of similitude of the two circles (A) and (B). Since the tri- … Fig. 3- angles ADE\ CDE, and BDE are isosceles, it is clear that ADand BD are parallel. Therefore, from the similar triangles ASDand BSD, we have AS : SB :: AD : BD,

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