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" If two triangles have two sides of the one equal to two sides of the... "
The English Journal of Education - Page 244
1850
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 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 - 262 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 —...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 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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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 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 - 284 pages
...replaced by O, and let V, W be the mid points of BO, CO. Then the right-angled triangles OVO,, OWę, 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 - Euclid's Elements - 1895 - 708 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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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...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 sides of the other; then the base of...
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The Student's Guide to Accountancy

Lawrence Robert Dicksee - Accounting - 1897 - 122 pages
...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...
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Annual Report of the Commissioners ..., Volume 65

1899 - 972 pages
...squares on two lines is equal to the rectangle contained by their sum and their difference. 6. If two triangles have two sides of the one equal to two sides of the other each to each but their bases unequal, the angle contained by the sides of that which has the greater base is greater...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...and the beginner should not attempt to proceed farther until he has thoroughly mastered it. 1. If two triangles have two sides of the one equal to two sides of the other, must the triangles be equal in all respects ? . Z. AB is a straight line; D is its middle point;...
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