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" ... 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. "
Orr's Circle of the Sciences: The mathematical sciences - Page 58
edited by - 1854
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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
...one side equal to one side, namely, either the sides adjacent to the equal angles, or sides which are opposite to equal angles in each, then shall the other...be equal, each to each, and also the third angle of tfie one equal to the third angle of the other. Let ABC, DEF bo two triangles, which have the angles...
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The Edinburgh university calendar

Edinburgh univ - 1868
...other, each to each ; and one side equal to one side (viz. , the sides adjacent to the equal angles) ; then shall the other sides be equal, each to each...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...side, viz, either the sides adja cent to the equal angles in each, or the sides opposite to them ; then shall the other sides be equal, each to each, and also the third angle of the one equal to the third angle of the other, Let ABC, DEF\>s two triangles which have the angles ABC, BCA,...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 178 pages
...two angles of the other, each to each, and one side equal to one side, viz., the side adjacent to the equal angles in each ; then shall the other sides...to each, and also the third angle of the one to the tb; angle of the other. 2. To a given straight line apply a parallelogram, which shall be equal to...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1870 - 178 pages
...two angles of the other, each to each, and one side equal to one side, viz., the side adjacent to the equal angles in each ; then shall the other sides...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
...each; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each; then shall the other...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, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...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 books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...each; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each; then shall the other...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
...; and one side equal to one side, viz., either the sides adjacent to the equal angles, or the sides opposite to equal angles in each ; then shall the...angle of the one to the third angle of the other. Let ABC, DEF, be two triangles which have the angles ABC, BCA, equal to DEF, EFD; viz., ABC to DEF,...
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The Madras University Calendar

University of Madras - 1873
...side, namely, the sides which are opposite to equal angles in each, prove that the other sides shall be equal, each to each, and also the third angle of the one equal to the third angle of the other. (a.) PQR, STV are two triangles having the angles QPR, PQE equal...
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