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

Smith, J. Hamblin · Toronto : W.J. Gage · leaf 119

An illustration from Elements of geometry : containing books I to III, 1886, leaf 119
is both equal to and greater than cBCD\which is absurd. Lastly, when the vertex D of one of the l s falls on aMde ]>< of the other, it is plain that BC and iiX» cannotbe equal q. e. D. H2 EUCLIDS ELEMENTS. [Books I. & IL Note 14. Euclid!$ Proof of I, 8. If tirn triangles have two tides of… … Let the sides of the as ABC, DEF be equal, each to each,that is, AB=DE, AC=DF and BC=EF. Then mud l BAC= i EDF. Apply the a A B( to the a DEF. so that pt. B is on pt E, and BC on EF.Then V BC=EF, .*. C « ill coincide with /.and BC will coincide with EF. Then 42? and 4(7 must coincide with DE and…

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