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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 - 317 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 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...shall be greater than the base of the other. Let ABC, D-EPbe two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, namely,...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 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. PROP. XXIX. — If a straight line fall upon two parallel straight lines, it makes the alternate angles...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 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. Given two triangles, ABC and DEF, which have the two sides AB and AC equal to the two DE and DF, each...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...contained by 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. 6. Draw a straight line through a given point parallel to a /• given straight line. 7. In any right-angled...
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 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. BOOK III. PROP. 20.— The angle at the centre of a circle is double of the angle at the circumference...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 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. In every triangle, the square of the side subtending either of the acute angles is less than the...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...Extract the square root of 502681. EUCLID. 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. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...contained by the two sides of one of them greater than the angle contained by the two side* equal to them of the other, the base of that which has the greater...angle shall be greater than the base of the other. (References— Prop. I. 3, 4, 5, 19, 23; ax. 9.) 1. The two sides AB, AC, equal to the two DE, DF,...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...of one of them greater than the angle contained by the two sides, equal to them, of the other; t/ien the base of that which has the greater angle, shall be greater than the base of the other. (References — Prop. i. 3, 4, 5, 19, 23; ax. 9.) Let ABC, DEF, be two triangles which have the two...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...THEOR. If two triangles have two sides of the one equal to the two sides of tht other, each to each, hut the angle contained by the two sides of the one greater...angle shall be greater than the base of the other. Cost.— P 23, P 3, Pst. 1.— DKJI,— P. 4, P. 6, Ax. 9, P. 19. 'n the two As ABC, DBF, let AB= DE,...
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