| George Bruce Halsted - Geometry - 1896 - 210 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... | |
| Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 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... | |
| Seth Thayer Stewart - Geometry - 1893 - 256 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... | |
| 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.... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...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... | |
| 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... | |
| Edinburgh Mathematical Society - Mathematics - 1894 - 282 pages
...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... | |
| 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... | |
| Great Britain. Civil Service Commission - Civil service - 1896 - 112 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... | |
| Queensland. Department of Public Instruction - Education - 1897 - 456 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... | |
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