| Janet Taylor - Nautical astronomy - 1851 - 674 pages
...observed of the sides AC and CD, and the angles ABC, BAC. O..KD Theorem VI II. [Eu. i. 24.] If two **triangles have two sides of the one equal to two sides of the** otlwr, Lu1 the included angle of the one greater than the included angle of the oilier, (Inn the side... | |
| 1867 - 336 pages
...also the third angle of the one equal to the third angle of the other. Construct two triangles which **have two sides of the one equal to two sides of the** other, and the angles equal which are opposite to the less of the two sides. Are such triangles necessarily... | |
| London univ - 1852 - 358 pages
...From the greater of two given straight lines to cut off a part equal to the less. 3. Show that if two **triangles have two sides of the one equal to two sides of the other, each to each ; and have** likewise the angles contained by those sides equal to each other ; they shall likewise have their bases,... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...been shown that BO+00<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** the included angles unequal, the third sides will be unequal; and the greater side will belong to the... | |
| Euclides - 1852 - 152 pages
...therefore also BC is greater than EF. Therefore, if two triangles, &c. QED PEOP. XXV. THEOR. If two **triangles have two sides of the one equal to two sides of the other, each to each,** but the base of the one greater than the base of the other; the angle also contained by the sides of... | |
| Euclides - 1853 - 146 pages
...angle FAG is made equal to the given rectilineal angle DCE. Wlu'ch was to be done. PROP. XXIV. — **THEOREM. 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... | |
| Euclides - Geometry - 1853 - 176 pages
...straight lines, a part ae has been cut off equal to С the lese. Which was to be done. PROPOSITION **IV. — THEOREM. If two triangles have two sides of the one equal to two sides** oftlie other, each to each ; and have likewise the angles contained by those sides equal to one another... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' **have two sides of the one equal to two sides of the** other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,... | |
| Thomas Lund - Geometry - 1854 - 520 pages
...ABC is an equilateral triangle and it is described upon the straight line AB. 24. PROP. II. If two **triangles have two sides of the' one equal to two sides of the other, each to each, and have** likewise the angles formed by those sides equal to one another, they shall also have their bases, or... | |
| William Somerville Orr - Science - 1854 - 534 pages
...pair of opposite triangles thus formed will be together equal to half the parallelogram. 14. If two **triangles have two sides of the one equal to two sides of the other, each to each, and** if the angle contained by the two sides of the one, together icit/i that contained by the two sides... | |
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