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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. "
A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ... - Page 53
by Daniel Cresswell - 1816 - 294 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 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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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...opposite to the equal angles in each, they shall have the remaining sides equal to the remaining sides, each to each, and the third angle of the one to the third angle of the other. 3. If the square described upon one side of a triangle be equal to the squares described upon the other...
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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 - 334 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 - 198 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, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...the included side of the other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles having the angle B equal to E, the angle C equal to F, and the included...
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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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