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Elements of geometry : containing books I to III (1886)

Smith, J. Hamblin · Toronto : W.J. Gage · leaf 36

An illustration from Elements of geometry : containing books I to III, 1886, leaf 36
xm, ; for what ever tlir position of PQ may be, the angles which it makeswith WE are together equal to two rigbl angles. tin, in Prop; xv. it Lb evident that cAED=iBECisince each I me supplementary . .1 /• We shall shew hereafter, p. 149, how this definition may beembrace <• r /< two right… … Let the side BC of a ABC be produced to D.Then must z ACD be greater than either i CAB or z ABC.Bisect AC in E, and join BE. I. 10. Produce BE to F, making EF=BE, and join FC.Then in as BE A, FEC, v BE=FE, and EA =EC, and z BE A = z i^C, I. 15..-. iECF= lEAB. 1.4. Now z .4 CD is greater than i ECF…

Geometry

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