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" If two triangles have two sides of the one equal to two sides of the... "
Proceedings of the Edinburgh Mathematical Society - Page 37
by Edinburgh Mathematical Society - 1894
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...than BAG. Much more then is the angle BDC greater than BAC. XXIII.— EUCLID I. 24. If two triangles have two sides of the one equal to two sides of the other each to each, but the angle contained by the two sides of the one greater than the angle contained...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 pages
...Sections. 1. DEFINE a superficies, an angle, adjacent angles, parallel straight lines. If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to each other, they...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...proposition in Euclid's First Book, in the proof of which the 12th axiom is used. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...his especial study," with the view of displaying his industry and intelligence^ 1. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...must be greater than ABC. Therefore, the greater side, &c. PROPOSITION XIII. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the included angles unequal, the base of that which has the greater angle,will...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...situations and distances of the three towns. PROP. 4. — THEOR. — ^Important.) If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to each other; they...
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An Inquiry Into the Constitution, Powers, and Processes of the Human Mind ...

William Robinson Pirie - Brain - 1858 - 668 pages
...of all geometry, consists of two axioms united. The first is to the effect, that "if two triangles have two " sides of the one equal to two sides of the other, " and the angle betwixt them equal, the sides will "lie upon each other." As the "angle" is...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...between the stations. What was the speed of the train ? EUCLID, Books I, II, III. 1 . If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle which is contained by the two sides...
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Spherical Trigonometry ...

Isaac Todhunter - Spherical trigonometry - 1859 - 156 pages
...positive, negative, or zero; thus we obtain all the results included in Arts. 33—36. 57. If two triangles have two sides of the one equal to two sides of the other, each to each, and likewise the included angles equal, then their other angles will be equal,...
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Iconographic Encyclopaedia of Science, Literature & Art, Volume 1

Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...abc, (fig. 14), ab is greater than ac, then is also / acb greater than /_ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater...
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