| Sir Norman Lockyer - 1902
...committee suggest that the following proposition be adopted : — If two triangles (or parallelograms) **have one angle of the one equal to one angle of the other,** their areas are proportional to the areas of the rectangles contained by the sides about the equal... | |
| 1871
...cent. per annum ? 10. Extract the square root of 3312400. VOLUNTARY PORTION. 1. Equal triangles which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. If the sides above mentioned are... | |
| Henry William Watson - 1871 - 285 pagina’s
...area of the polygon on AC is equal to the area of the polygon on BC. EXAMPLES. 1. If two triangles **have one angle of the one equal to one angle of the other,** and likewise one angle of the one supplementary to one angle of the other, the sides opposite to these... | |
| EDWARD RAVENSCROFT - 1871
...describe a square that shall be equal to a given rectilineal figure. 4. Equal parallelograms which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional ; and conversely. 5. If two chords... | |
| Euclides - 1871
...another case in which two triangles are equal in all respects. PROPOSITION E. THEOREM. If tico triangles **have one angle of the one equal to one angle of the** otlier, and the sides about a second angle in each equal; then, if the third angles in each be both... | |
| Euclides, James Hamblin Smith - 1872 - 349 pagina’s
...another case in which two triangles are equal in all respects. PROPOSITION E. THEOEEM. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about a second angle in each equal; then, if the third angles in each be both acute,... | |
| Euclides - 1874
...to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION 6. — Theorem. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| Richard Wormell - 1876
...:E = A :B j 5- {andB = mF } then A - В = m (D _ F) EUCLID.-BOOK VI. Prop. Page 7. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about two other angles proportionals, then if each of the remaining angles be either... | |
| D. Tierney - 1877
...AF: FB; but, since triangle BEC=2 triangle DEC, therefore1 AE:ED::2AF:FB. 10. Equal triangles which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional; and, conversely, triangles which... | |
| Āryabhaṭa - 1878
...perpendicular to tlie base. Hence an angle can be bisected. PROP, xxxin. THEOREM. (E. 6. 17). If two triangles **have one angle of the one equal to one angle of the other** and their sides about the equal angles proportionals, Tie triangles are equiangular and those angles... | |
| |