 Two triangles on the same sphere or on equal spheres are either equal or symmetrical, if two sides and the included angle of one are respectively equal to two sides and the included angle of the other.  Secondary-school Mathematics - Page 109by Robert Louis Short, William Harris Elson - 1910Full view - About this book
 | Mathematics - 1801 - 658 pages
...three sides of one are respectively equal to the three sides of the other. 2. When two sides and the1 included angle of one are respectively equal to two sides and the included angle of the other. 3. When two angles and the included side of one are respectively equ;il to two angles... | |
 | Samuel Webber - Mathematics - 1808 - 520 pages
...When the three sides of one are respectively equal to the three sides of the other. 2. When two sideg and the included angle of one are respectively equal to two sides and the included angle of the other. 3. When two angles and the included side of one arc respectively equal to two angles... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...and another side. 11. Prove by superposing the triangles, that two triangles are equal — 1st. When two sides and the included angle of one are respectively equal to the corresponding parts of the other. 2nd. When two angles and the included side of the one are respectively... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...to it. 2nd. The hypothenuse and another side. 11. Prove that two triangles are equal : — 1st. When two sides and the included angle of one are respectively equal to the corresponding parts of the other. 2nd. When two angles and the included side of the one are respectively... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...PROPOSITION XIX.— THEOREM. 72. Two triangles on the same sphere are either equal or symmetrical, when two sides and the included angle of one are respectively equal to two sides and the included angle of the other. In the triangles ABC and DEF, let the angle A be equal to the angle D, the side AB equal... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...PROPOSITION XIX.— THEOREM. 72. Two triangles on the same sphere are either equal or symmetrical, when two sides and the included angle of one are respectively equal to two sides and the included angle of the other. In the triangles ABC and DEF, let the angle A be equal to the angle D, the side AB equal... | |
 | Richard Wormell - 1876 - 268 pages
...equivalent. 1st. When three sides of the one are equal to three sides of the other, each to each. 2nd. When two sides and the included angle of one are respectively equal to two sides and included angle of the other. 3rd. When two angles and the included side of one are respectively equal... | |
 | George Anthony Hill - Geometry - 1880 - 348 pages
...first. Therefore, two sides and the inFif' '°°' cluded angle completely determine a Theorem. — Two parallelograms are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. Exercises. — 1. Construct a... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...COR. 1. — .á diagonal of a parallelogram divides it into two equal triangles. THEOREM XLI. 131. Two parallelograms are equal if two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. Let AB С D and EFGH... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...PROPOSITION XII.—THEOEEM. 53. Two triangles on the same sphere are either equal or symmetrical, when two sides and the included angle of one are respectively equal to two sides and the included angle of the other, In the triangles ABC and DEF, let the angle A be equal to the angle D, the side AB equal... | |
| |
