 | Sir Norman Lockyer - 1902 - 1086 sider
...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... | |
 | Sir Norman Lockyer - 1902 - 846 sider
...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... | |
 | Civil service - 1871 - 264 sider
...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 - 320 sider
...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... | |
 | Edinburgh univ - 1871 - 392 sider
...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 sider
...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 - 376 sider
...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 - 342 sider
...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 - 268 sider
...: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 - 126 sider
...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... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
