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" BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26. "
Elements of Geometry and Conic Sections - Page 18
by Elias Loomis - 1849 - 226 pages
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...triangles, &c. PEOPOSIT1ON VII. THEOREM. If two triangles have two angles, and the included side of tf,i one, equal to two angles and the included side of...equal to F, and the included sides BC, EF equal to __ each other; then will the B CE triangle ABC be equal to the triangle DEF. For, if the triangle ABC...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...sides opposite to equal angles in each; then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the other. In &s ABC, DEF, Let L ABC= L DEF, and LACB= L DFE; and first, Let the sides adjacent to the equal L...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...sides opposite to equal angles in each; then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the other. In A s ABC, DEF, Let L ABC= L DEF, and L ACB= / DFE; and first, Let the sides adjacent to the equal...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...two angles BCD, CBD, each to each, and one side BC is common ; therefore their other sides shall also be equal, each to each, and the third angle of the one to the third angle of the other, viz., the side AT? to the side CD, and AC to BD, and the angle BAG equal to BDC : and because the angle...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...which is adjacent to their equal angles, common to the two triangles ; therefore, their other sides are equal, each to each, and the third angle of the one to the third angle of the other (I. 26), namely, 3. The side AB is equal to the side CD, and AC to BD, and the angle BAC to the angle...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...common to the two triangles, which is adjacent to their equal angles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, namely the side AB equal to the side CD, and the side AC equal to the side BD, and the angle BAC equal...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...BC, adjacent to the equal angles in each, is common to both triangles. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other — .-. AB =_ namely, AB equal to CD, AC to BD, and the angle BAC to ED) ^BAC the angle CDB (I. 26)....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...which is adjacent to their equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BA C to the angle BD C. And...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...BC, adjacent to the equal angles in each, is common to both triangles. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other — .-. AB = namely, AB equal to CD, AC to BD, and the angle BAC to BD, ^BAC the angle CDB (I. 26)....
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...BC, adjacent to the equal angles in each, is common to both triangles. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other — namely, AB equal to CD, AC to BD, aud the angle BAC to the angle CDB (I. 26). And because the angle...
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