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The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises . 262 NOTES OM. been shewn that BG is equal toBF; and EF is equal to BQ^by hypothesis; therefore BG iseqnal to BC. Therefore the an-gle BGC is equal to the angleBOG, by I. 5 ; and the angleBCG is acute, by hypothesis;therefore theaugle BGC is BGC was shewn to be ob-tuse: which is ;urd. Therefore the angles ABC, DBF arenot unequal; that is, they are equal. Therefore the trianglesA BC, DBF are equal in all respects, by
The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises . 262 NOTES OM. been shewn that BG is equal toBF; and EF is equal to BQ^by hypothesis; therefore BG iseqnal to BC. Therefore the an-gle BGC is equal to the angleBOG, by I. 5 ; and the angleBCG is acute, by hypothesis;therefore theaugle BGC is BGC was shewn to be ob-tuse: which is ;urd. Therefore the angles ABC, DBF arenot unequal; that is, they are equal. Therefore the trianglesA BC, DBF are equal in all respects, by I. 4. Next, suppose the angles at C and F obtuse demonstration is similar to the above. Lastly, suppose one of the angles a right angle, namely, the•ngle C, If the angle B be not equal to the angle E, make the B
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Keywords: ., bookcentury1800, booksubjectgeometry, booksubjectmathematicsgree