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" ... sides be 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 angles ABC, BCA equal to the angles DEF, EFD, viz. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Page 24
by John Playfair - 1860 - 317 pages
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...angles and a corresponding side in another triangle, tJw triangles shall be equal in every respect. 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 BCA to EFD; Also one side equal to one side. CASE 1. — First,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...third sides be equal in each triangle, at alto the remaining angles of the one to the remaining angles of the other, Let ABC, DEF be two triangles which have the sides AB, AC equal to the two sides DE, DP, each to each, and the angle ABC equal to the angle DBF:...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...that which has the greater base shall be greater than the amjle contained by the fides equal to them of the other. Let ABC, DEF, be two triangles, which have The two sides AB, AC equal to the two sides DE, DF, each to each — namely, AB to DE, and AC to DF, But...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...ABQBCA = L s DEE, EFD, each to each, namely ABC to DEE and BCA to EFD ; also one side equal to one side. First let those sides be equal which are adjacent to the angles that are equal, namely BC to EF. Then the other sides shall be equal, each to each, namely, AB to DE and AC to DF,...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 426 pages
...that which has the greater base shall be greater than the angle contained by the sides, equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF each to each, namely, AB to DE, and AC to DF, but the...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 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 ; and let the side adjacent...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...that which has the greater base, shall be greater than the angle contained by the sides equal to them, of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC equal to the two sides DE, DF, each to each, namely, AB to DE, and AC to DF, but the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...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 to each; viz.,...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 2

Moffatt and Paige - 1883 - 576 pages
...each, then shall the other sides be equal, each to each, and also the third angle oft/te one equal to the third angle of the other. Let ABC, DEF be- two triangles which have the angles AB C, BCA equal to the angles DEF, EFD, each to each, namely, ABC to DEF, and BCA to EFD, and also...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...that which has the greater base, shall be greater than the angle contained by the sides equal to them, of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC equal to the two sides DE, DF, each to each, namely, AB to DE, and AC to DF, but the...
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