| George Bruce Halsted - Geometry - 1885 - 389 pages
...symmetrical is henceforth devoted entirely to such. THEOREM V. 688. Two spherical triangles having **two sides and the included angle of one equal respectively to two sides and the included angle** of the other, are either congruent or symmetrical. (1) If the parts given equal are arranged in the... | |
| Education - 1893
...Time, 8 koiri. 1. Define right angle, rhomboid, plane figure, sector, similar polygons. 2. Prove that **if two triangles have two sides and the included angle of one** respectively equal to two sides and the Included ancle of the other, the two triangles are equal in... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...symmetrical is henceforth devoted entirely to such. THEOREM V. 688. Two spherical triangles having **two sides and the included angle of one equal respectively to two sides and the included angle** of the other, are either congruent or symmetrical. (1) If the parts given equal are arranged in the... | |
| James Wallace MacDonald - Geometry - 1889 - 80 pages
...a triangle is greater than the third, and the difference is less. Proposition XXVI. A Theorem. 63. **If two triangles have two sides and the included angle of one equal** to two sides and the included angle of the other, each to each, the other homologous parts are also... | |
| James Wallace MacDonald - Geometry - 1894 - 76 pages
...a triangle is greater than the third, and the difference is less. Proposition XXVI. A Theorem. 63. **If two triangles have two sides and the included angle of one equal** to two sides and the included angle of the other, each to each, the other homologous parts are also... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...area A'B'C'. QED Proposition 9. Theorem.* 709. Two triangles on the same, or on equal spheres, having **two sides and the included angle of one equal respectively to two sides and the included angle** of the other, are either equal or equivalent. Hyp. Let ABC, DEF be two As having the side AB = DE,... | |
| Education - 1896 - 446 pages
...from the same point to a given line, the perpendicular is shorter than any oblique line. 3. Prove: **If two triangles have two sides and the included angle of one equal** to two sides and the included angle of the other, they are equal in all respects. 4. Prove: The diagonals... | |
| Seth Thayer Stewart - Geometry - 1891 - 428 pages
...II.— TRIANGLES. SYNOPSIS.* SECTION I.— EQUAL TRIANGLES. 1O.>. i. DEFINITIONS. 2. PROPOSITIONS. PROP. **I. If two triangles have two sides and the included angle of** the one equal to two sides and the included angle of the other, each to each, they are equal in all... | |
| Arthur Latham Baker - Geometry, Solid - 1893 - 152 pages
...joining the two points. QED PROPOSITION IX. THEOREM. / 275. Two triangles on equal spheres, having **two sides and the included angle of one equal respectively to two sides and the included angle** of the other, are either equal or equivalent. Proof. By superposing one Sph. A upon the other, or upon... | |
| William John McClelland, Thomas Preston - Spherical trigonometry - 1893 - 402 pages
...equal lunes. Two such triangles are represented in fig. 7, and are said to be symmetrically equal. (3). **If two triangles have two sides, and the included angle of one** respectively equal to the two sides and the included angle of the other, the triangles are equal in... | |
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