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" If two triangles have two sides of the one equal to two sides of the... "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 26
von Euclides - 1856
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Elementary Synthetic Geometry

George Bruce Halsted - 1896 - 204 Seiten
...that cutting the axis is the greater. Proof. BA=BC+ CA = BC + CA'>BA'. 406. Theorem. If two spherical triangles have two sides of the one equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 184 Seiten
...joining their vertices is bisected by the straight line containing their bases. 4. Two triangles, which have two sides of the one equal to two sides of the other respectively and have the included angles supplementary, are of equal area. 5. The side BC of...
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - 1893 - 256 Seiten
...ACGF (P. xx., CI); and, also, Д D BE = JDEGF; and, .-., Д DBE + & ABC= J oACED. (Ax. in.) 5. If two triangles have two sides of the one equal to two sides of the other, each to each, and if the included angles are supplementary, the two triangles will be equivalent. The Дs have — bases...
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Euclid's Elements of Geometry, Bücher 1-6

Henry Martyn Taylor - 1893 - 504 Seiten
...one of its angles, and having its sides each equal to a given straight line. PROPOSITION 4. If two triangles have two sides of the one equal to two sides of the other, and also the angles contained by those sides equal, the two triangles are equal in all resjiects....
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 150 Seiten
...sides and the projection of the other upon it. PRINCETON COLLEGE, June, 1891. 1. Prove that if two triangles have two sides of the one equal to two sides of the other, but the included angle of the first greater than the included angle of the second, then the...
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Proceedings of the Edinburgh Mathematical Society, Bände 1-2

Edinburgh Mathematical Society - 1894
...replaced by O, and let V, W be the mid points of BO, CO. Then the right-angled triangles OVO,, OW©, have two sides of the one equal to two sides of the other ; therefore OO, bisects LO,O,O:,. Similarly for OO2, OO:, (22.) If 00» OO2, 002 be produced...
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Euclid's Elements of Geometry, Bücher 1-6;Bücher 11

Henry Martyn Taylor - 1895 - 706 Seiten
...AC, but not equal to one another. Prove that this triangle is less than the triangle ABC. 83. If two triangles have two sides of the one equal to two sides of the other, and the sum of the two angles contained by these sides equal to two right angles, the triangles...
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Competition for Situations as Assistant in the British Museum: And ...

Great Britain. Civil Service Commission - 1896 - 96 Seiten
...that of the (n -4- l)th term. Expand («2ж2 — 2ж4)-2 as far as the term involving ж5. 5. 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...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...to the angle which is contained by the two sides of the other. 20 0. If two triangles have two Bides 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 by the corresponding...
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The Student's Guide to Accountancy

Lawrence Robert Dicksee - 1897 - 122 Seiten
...Q. 3.—The Life and Work of Stephen Langton or Francis Bacon. GEOMETEY. Q. 1.—Prove that, if two triangles have two sides of the one equal to two sides of the other, each to each, and the contained angles equal, the bases are also equal. Q. 2. Show that the distances of the ends of the...
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