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" If two triangles have two sides of the one equal to two sides of the... "
The Element of Geometry - Page 1
by John Playfair - 1836 - 114 pages
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Elementary Synthetic Geometry

George Bruce Halsted - Geometry - 1896 - 164 pages
...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 - Euclid's Elements - 1892 - 167 pages
...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 - Geometry - 1893 - 225 pages
...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, Books 1-6

Henry Martyn Taylor - 1893 - 504 pages
...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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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...drawn parallel to AB and AC, meeting the base in D and E ; show that DE is half of BC. (12.) 9. If two triangles have two sides of the one equal to two sides...other, each to each, and have likewise the angles opposite to one pair of equal sides equal, show that the angles opposite to the other pair of sides...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 138 pages
...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, Volumes 1-2

Edinburgh Mathematical Society - Mathematics - 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, Books 1-6; Book 11

Henry Martyn Taylor - 1895 - 657 pages
...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 - Civil service - 1896 - 96 pages
...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 - Education - 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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