| George William Usill - Surveying - 1889 - 272 pages
...Triangle. — An acute-angled triangle is a triangle which has three acute angles. Theorems. — 1. If two **triangles have two sides of the one equal to two sides of the** other, each to each, and have likewise the angle contained by those sides equal to one another, they... | |
| William Ernest Johnson - Plane trigonometry - 1889 - 504 pages
...opposite angle of the other, are equal in all respects. (4) If two triangles, which are equal in area, **have two sides of the one equal to two sides of the** other, each to each, then the angle contained by the two sides of the one is equal or supplementary... | |
| Queensland. Dept. of Public Instruction - Education - 1890
...exertion. EUCLID. December — 2 to 5. For Admission as Pupil-Teacher of the Third Class. 1. 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... | |
| Randal Charles John Nixon - Geometry - 1890 - 400 pages
...will be assumed convex, unless the contrary is expressly stated. Proposition 24. THEOREM — If two **triangles have two sides of the one equal to two sides of the** other, each to each, but have the angle contained by the one pair of sides greater than the angle contained... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...the same line, and the triangles ABC, ACF have one side, AC, common. (See Ex. 76.) Ex. 76.— If two **triangles have two sides of the one equal to two sides of the** other, each to each, and the angles contained by those sides supplementary, then the triangles shall... | |
| James Andrew Blaikie, William Thomson - Geometry - 1891
...also be perpendicular to QR, RP.PQ. Use Exx. 7 and 6. § 10. (Bookwmk, EUCLID, I. 1-27.) 1. If two **triangles have two sides of the one equal to two sides of the** other, each to each, and have likewise the angles equal which are opposite to one pair of equal sides,... | |
| Seth Thayer Stewart - Geometry - 1891 - 406 pages
...PROP. XIII. The greater angle in any triangle has the greater side opposite to it. PROP. XIV. If two **triangles have two sides of the one equal to two sides of the** other, each to each, but the included angles unequal, the third sides are unequal, and the triangle... | |
| Euclid's Elements - 1891 - 79 pages
...the base of that which has the greater angle shall be greater than the base of the other. 25. 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 contained... | |
| Seth Thayer Stewart - Geometry - 1891 - 406 pages
...two right angles (BOOK i., PROP, xvn.), one is obtuse and the other acute. The triangles ABC and BCH **have two sides of the one equal to two sides of the** other, each to each, but one included angle, B, greater than the other, C. AC is, then, greater than... | |
| George Bruce Halsted - Geometry - 1896 - 164 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... | |
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