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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 25

An illustration from Elements of geometry, containing books I and II with exercises and notes, 1882, leaf 25
d .. is equal to AB, and DF AC, and I EDF i BAC, and aDEF aABC; and .*. the trian<,des are equal in all respects. Q. E. D. Cor. Hence, by a process like that in Prop. A, we can provethe following theorem : If two angles of fi triangle he equal, the sides which subtendth^m are also equal (*aicl.… … Let the three sides of the A s ABC, DBF be equal, eachto each, that is, AB=DE, AC=T)F, and BC=EF. Tlien must the triangles he equal in all respects. Imagine the A DEF to be turned over and applied to theA ABC, in such a way that EF coincides with BC, and thevertex D falls on the side of BC opposite…

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