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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 31

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 31
ted in C, divided internally in D and ex-ternally in E. Make AF equal to BD, and produce BA until ^ j£_ F C J> TJ -\ 1 1 h AG equals BE. Because AB is bisected in Cand AF equals BD,therefore FC equals CD, and FD is the difference of AD and DB.Hence CD is half the difference of the internal… … 2 EXEKCISES ON EUCLID [2. 2. Given the sum and difference of two straight lines,find them. Fig. to (1). Let AB be the given sum, C the middle point ofAB, and CD half the given difference of the required lines, thenby (1) AD and DB are obviously the required straight lines. 3. To divide a given…

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