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" 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 contained by the two sides equal to them, of the other ; the base of that which has... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 36
by John Playfair - 1819 - 333 pages
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...contained by the two sides of the one greater than the angle contained by the two sides equal to them of the other, the base of that which has the greater...be greater than the base of the other. Let ABC, DEF (Fig. 16) be two triangles, having the two sides AB, AC equal to' the two DE, DF each to each ; and...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 242 pages
...other, each to each, but the included angles unequal, the base of that which has the greater angle,will be greater than the base of the other. Let ABC, DEF be two triangles, having two sides of the one equal to two "sides of the other, viz. : AB equal to DE, and AC to DF,...
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National Society's Monthly Paper

1857 - 408 pages
...than the angle contained by the two sides, equal to them, of the other, the base of that which lias the greater angle shall be greater than the base of the other. 3. The opposite sides and angles of a parallelogram are equal, and its diagonal bisects it. 4. If the...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...and the angle B 55°. PROP. 24. — THEOR. If two triangles have two sides of the one equal to the two sides of the other, each to each, but the angle...angle shall be greater than the base of the other. CONSTRUCTION. — P. 23. To make an angle equal to a given angle. P. 3. From the greater line to take...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater...angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the. other ; the base of that which has the greater...angle, shall be greater than the base of the other. 2. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...contained by the two sides of the one greater than the angle contained by the two sides equal to them of the other, the base of that which has the greater...angle shall be greater than the base of the other. • 3. If the square described upon one of the sides of a triangle is equal to the squares described...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 1

Euclides - 1868 - 88 pages
...contained by the two sides of the one greater tiian the angle contained by the two sides of the outer, the base of that which has the greater angle shall be greater than the base of the other. Co*. P. 23. 3. Pst. 1. • DEM. P. 4. 5. Ax. 9. P. 19. EXP. 1 Hyp. 1. 2 9 )) — 3 Conol. Coir. 1 HP...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them of the other, the base of that which has the greater...angle shall be greater than the base of the other. 2. Define a parallelogram ; prove that parallelograms upon the same base and between the same parallels...
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Spherical Trigonometry ...

Isaac Todhunter - Spherical trigonometry - 1859 - 156 pages
...sides of the one greater than the angle which is contained by the two sides which are equal to them of the other, the base of that which has the greater angle will be greater than the base of the other; and conversely. Let b and c denote the sides which are...
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