 | James Hayward - Geometry - 1829 - 218 pages
...equal in all their parts. And we say universally, — When two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by these two sides of the one, equal to the angle contained by the two sides of the... | |
 | Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...part, only to the coincidence of triangles. QUERY I. If in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them also equal to one another, what relation will these two triangles... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...meets the base В С in D (Post. 4). Then, because the triangles ADB, ADC have two sides of the one equal to two sides of the other, each to each, and the interjacent angles BAD, CAD equal to one another, their other angles are equal, each to each (4.) ;... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 212 pages
...triangles, which you have learned in this section ? Am. 1. If, in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them are also equal to one another, the two triangles are equal in all... | |
 | Mathematics - 1835 - 684 pages
...equal to the angle А О С (III. 12.) ; and, because the triangles SOB, SOC have two sides of the one equal to two sides of the other, each to each, and the angles SOB, S О С which are included by those sides equal to one another (I. 4.), the base SB is... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...therefore, still more is BO + OC<BA+AC. PROPOSITION IX. THEOREM. 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 triangle which has... | |
 | Olinthus Gregory - Euclid's Elements - 1840 - 204 pages
...the two triangles ABC, and ACB, AB is equal to AC, and AC to AB ; therefore, two sides of the one are equal to two sides of the other, each to each ; and the angle BAC is equal to the angle CAB, being in fact one and the same angle ; wherefore, by prop. 4,... | |
 | Euclides - 1847 - 128 pages
...with it. (Deducible from Prop. XLI.) PROP, v' THEOR. — If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to either of the two equal sides be each a right angle, the triangles shall be equal... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...therefore, still more isBO + OC<BA + AC. PROPOSITION IX. THEOREM. 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 triangle which has... | |
 | 1851 - 716 pages
...than ac, then is also / acb greater than £ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater side will belong to the greater triangle,... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each, and the included... 
