| Robert Potts - 1868 - 434 pages
...found. QEF PEOPOSITION XIV. 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, parallelograms that have one angle of (he one equal to one angle of the other, and their... | |
| Edinburgh univ - 1868 - 334 pages
...inscribe a circle in a given triangle. 5- 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.** 6. Find the continued product of (x + y + z), ( - x + y + z), (x - y +«), (x + y - z). 7. Given x... | |
| Edinburgh univ - 1871 - 392 pages
...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 intersect the diameter of a circle at the same point and make equal angles... | |
| Civil service - 1871 - 258 pages
...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 in one triangle 63 and 84 feet in length, and in the other triangle... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 L BAC= L DAE. Then must CA be to AD as EA is to AB. Place the A s... | |
| Euclid - Geometry - 1872 - 284 pages
...equal angles are reciprocally proportional (AB to BC as LB to BD). And if two triangles (ABD and CBL), **have an angle of one equal to an angle of the other,** and the sides about the equal angles reciprocally proportional, they will be equal to one another.... | |
| Euclides - 1874 - 234 pages
...XI— THEOREM. (Euc. VI. 14, 15.) Equal parallelograms and equal triangles, which have an angle of the **one equal to an angle of the other, have their sides...about the equal angles reciprocally proportional; and** conversely. Let MB and BN be equal MV parallelograms which have the angles ABE and DBC equal to one... | |
| Euclides - 1874 - 342 pages
...parallelograms, &c. QED PROPOSITION 15.— Theorem. Equal triangles which hare one angle of the one equal to one **angle of the other, have their sides about the equal angles reciprocally proportional; and** conversely, triangles wliich have one angle in the one equal to one angle in the other, and their sides... | |
| Bombay city, univ - 1874 - 648 pages
...whole area of the pentagon. •t. Equal parallelograms which hare one angle of the one 10 equal to one **angle of the other have their sides about the equal angles reciprocally proportional ; and** if the sides about the equal angles bo reciprocally proportional the parallelograms are equal to one... | |
| Braithwaite Arnett - 1874 - 130 pages
...these produced, proportionally. 7. 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.** 8. Prove that the ratio of the diameter of the circle described about a triangle to any one of the... | |
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