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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 - 1877 - 458 pages
...BD included between these 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 (Pr. 7), viz., the side AB to the side CD, and AD to BC, and the angle BAD equal to the angle BCD....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...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. Let L ABC = L DEF, and L ACB = L DFE; and first, Let the sides adjacent to the equal L s in each be equal,...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...each, 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 be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, namely, ABC to DEF, and...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...one side equal to one side, namely, the sides opposite to equal angles in each, the other sides shall be equal, each to each, and the third angle of the one equal to the third angle of the other. Prove that the point of intersection of the diagonals of a square,...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1880 - 456 pages
...the included side of the other, each to each, the two triangles will be equal, the other sides mil be equal each to each, and the third angle of the...other. Let ABC, DEF be two triangles having the angle 13 equal to E, the angle C equal to F, and the included sides BC, EF equal to each other ; then will...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 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 for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...two sides shall be equal, each to each, and also the third angle of the one triangle shall be equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC and ACB in the former = the angles DBF and DFE in the latter, each to each...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...the sides opposite to equal angles in each fttten their other sides are equal, each to each, and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the two angles AjSC, BCA of the one, equal to the two angles DEF, EFD of the other, each...
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The preliminary army examination made easy, a guide to self-preparation

John Gibson - 1881
...each, and the sides adjacent to the equal angles in each triangle equal, then the other sides shall be equal each to each, and the third angle of the one equal to the third angle of the other. 2. If a straight line falling on two other straight lines makes...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882
...one side equal to one side, viz., sides opposite to equal angles in each, the remaining sides shall be equal each to each, and the third angle of the one to the third angle of the other. 5. Divide a given straight line into two parts such that the rectangle contained by the whole and one...
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