| Sir Norman Lockyer - Electronic journals - 1902 - 1084 pages
...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... | |
| James Maurice Wilson - 1869 - 260 pages
...therefore, the ratio of DB : BG is compounded of the ratios AB : BE and CB : BF. COR. i. Triangles which **have one angle of the one equal to one angle of the other,** are to one another in the ratio compounded of the ratios of the sides containing that angle. COR. 2.... | |
| Henry William Watson - Geometry - 1871 - 320 pages
...polygon on AB + the 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... | |
| Civil service - 1871 - 258 pages
...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... | |
| Edinburgh univ - 1871 - 392 pages
...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 - 136 pages
...Euclid) of 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 - Geometry - 1872 - 376 pages
...BC is to O Jj?. V. 5. and .'. O AB=CJ BC. V. 8. QED Pnoposmoif XV. THEOREM. 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. Let A BO, ADE be equal AS, having... | |
| Braithwaite Arnett - 1874 - 130 pages
...the locus of a point at which two given circles subtend equal angles. 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. 5. Explain what are meant by scales... | |
| Euclides - 1874 - 342 pages
...BC, a mean proportional DB is found. ' QEF PROPOSITION 14: — Theorem. 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, parallelogram!... | |
| L J V. Gerard - 1874 - 428 pages
...triangle ABC [Const.] ; therefore the triangles ABC and DEF are equal to each other, WWTBD COROLLARY I. **If two triangles have one angle of the one equal to one** of the other, if the sides forming another angle be equal, each to each, and if the third angle be... | |
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