 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 parallelograms which have one angle of the one equal to one angle of the other, and their sides about... | |
 | Euclid - 1868 - 138 pages
...ywvíaç, laa iariv Equal triangles which have an anale of the one equal to an angle of the oiher, have their sides about the equal angles reciprocally proportional ; and triangles which have an angle in the one equal to an angle in the other, and their sides about the equal angles reciprocally proportional,... | |
 | 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 - 336 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... | |
 | Trinity College (Hartford, Conn.) - 1870 - 1008 pages
...5. Prove that parallelograms which have equal bases and equal altitudes are equal. G. Prove that two triangles which have an angle of the one equal to an angle of the other are to each other as the rectangles of the including sides. ENGLISH. I. Correct, criticize, and recast... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...an angle of the other are to each other as the products of the sides including the equal angles. Two triangles which have an angle of the one equal to an angle of the other may be placed with their equal angles in coincidence. Let ABC, ADE, be the two triangles having the... | |
 | 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 - 264 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... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...an angle of the other are to each other as the products of the sides including the equal angles. Two triangles which have an angle of the one equal to an angle of the other may be placed with their equal angles in coincidence. Let ABC, ADE, b« the two triangles having the... | |
 | 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... | |
| |
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 parallelograms that have one angle of the one equal to one angle of the other, and their sides... 
