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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, Conic Sections, and Plane Trigonometry - Page 23
by Elias Loomis - 1877 - 443 pages
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866 - 270 pages
...adjacent to the 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. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 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 BACto the angle BDC. And because...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 336 pages
...sides adjacent to the equal angles) ; 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. 3. Equal triangles upon the same base, and upon the same side of it, are between the same parallels....
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1870 - 196 pages
...adjacent to the 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. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 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 &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 - 376 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 - 588 pages
...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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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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...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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