| Charles Scott Venable - 1881 - 380 pages
...triangle may be placed on the symmetrical of the second so as to coincide with it. PROPOSITION XV. **THEOREM. Two triangles on the same sphere or on equal spheres are equal in** ail their parts : 1 . When they have their sides equal, each to each. 2. When they have their angles... | |
| Alfred Hix Welsh - Geometry - 1883 - 326 pages
...one are equal to two sides and the included angle of the other; in the second, the Hypothesis is that **two angles and the included side of the one are equal...to two angles and the included side of the other.** In the first, there are given two sides and the included angle; in the second, two angles and the included... | |
| Philosophy - 1885 - 460 pages
...we cannot know by a single intuition. For instance ; two triangles lie before me, and I am told that **two angles and the included side of the one are equal to** the two angles and the included side of the other ; and I am further told that, such being the case,... | |
| John Henry Walsh - 1895 - 296 pages
...and the included angle of the other, each to each ; and (Z>) when two angles and the included side of **one are equal to two angles and the included side of the other,** each to each. From 59, they should learn that when two triangles have the three sides of the one equal... | |
| John Henry Walsh - 1896 - 282 pages
...and the included angle of the other, each to each ; and (6) when two angles and the included side of **one are equal to two angles and the included side of the other,** each to each. From 69, they should learn that when two triangles have the three sides of the one equal... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...A'O'B', BOC ^ B'O'C', CO A ^ C'O'A'. Prop. XVII (a') 8. .'.A ABC = A A'B'C'. Ax. 2 PROPOSITION XIX. 482. **Theorem. Two triangles on the same sphere, or on equal spheres, are** either congruent or symmetric and equal if (a) two sides and the in- (b) two angles and the included... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Solid - 1900 - 160 pages
...the opposite dihe- other, the opposite angles are dral angles are equal. equal. PROPOSITION XXI. 484. **Theorem. Two triangles on the same sphere, or on equal spheres, are** either congruent or symmetric and equal if (a) the three sides (b) the three angles of the one figure... | |
| Wooster Woodruff Beman, David Eugene Smith - 1903 - 158 pages
...spherical A AOB ^ A'O'B', BOC ,£ B'O'C', CO A £ C'O'A'. §§ 468, 480 (a ' ) PROPOSITION XIX. 482. **Theorem. Two triangles on the same sphere, or on equal spheres, are** either congruent or symmetric and equal if (a) two sides and the in- (b) two angles and the included... | |
| Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...equal to two sides and the included angle of the other; or II. If two angles and the included side of **one are equal to two angles and the included side of the other,** the corresponding equal parts being arranged in the same order in each case. I. Given the spherical... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...equal to tivo sides and the included angle of the other; or II. If two angles and the included side of **one are equal to two angles and the included side of the other,** the corresponding equal parfs l)eing arranged in reverse order. A I. Given the spherical A ABC and... | |
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