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Books Books 121 - 130 of 193 on If two triangles have two sides of the one equal to two sides of the....  
" If two triangles have two sides of the one equal to two sides of the... "
Introduction and books 1,2 - Page 307
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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The first book of Euclid's Elements: arranged for beginners

Euclid - Mathematics - 1892 - 167 pages
...put the letters QED ie Quod erat demonstrandum, ' which was to be proved.' Proposition 4. 49. If two triangles have two sides of the one equal to two sides of the other each to each and also the angles contained by those sides equal, the two triangles are equal...
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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....
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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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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...
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The Student's Guide to Accountancy

Lawrence Robert Dicksee - Accounting - 1897 - 99 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...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 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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A text-book of Euclid's Elements for the use of schools, books I.-IV.

Henry Sinclair Hall, Frederick Haller Stevens, Euclid - Mathematics - 1900 - 304 pages
...equal to the three sides of the A DEF ; .'. the A ABC = the A DEF in all respects. i. 8. 13. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles opposite to one pair of equal sides equal, then the...
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