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Elements of geometry, containing books I and II with exercises and notes (1882)

Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 44

An illustration from Elements of geometry, containing books I and II with exercises and notes, 1882, leaf 44
= HK, .\ HL^FD. Ax. 1. Then in a s LAH, DEF, :■ LA=DE, and AH = EF, nnd IIL^FD ; .-. iLAH= I DEF. I. .. ,*, an angle LAH has Veen made at pt. A as was reqd. * Q. v.. T, Book I.] PROPOSITION D. Note.—AYe here ojive the proof of r. theorem, necessary tothe proof of Prop. XXIV. and applicable to… … In the A ABC, let the side ^C be not less than AB.Take any pt. D in BC, and join AD. Tlien must AD be less than AC. For .AC is not less than AB ; .. L ABD is not less than z ACD. I. a. and 18. But L ADC is greater than z ABD ; I. 16. .-. z ADC is greater than z ACD ; .. A C is greater tban AD, I.…

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