 | Sir Norman Lockyer - Electronic journals - 1902 - 1086 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 - 264 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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Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles... 
