| Euclides - 1846 - 292 pages
...found. O..E. p. PROP. XIV. THEOR. 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... | |
| John Playfair - Euclid's Elements - 1846 - 332 pages
...proportional DB is found. PROP. XIV. PROB. 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** : arallelograms which have one angle of the one equal to one angle of And par the other, and their... | |
| Euclides - 1846 - 272 pages
...equal angles are reciprocally proportional (AB to BC as 1.I! 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 - 1848 - 52 pages
...straight lines. PROP. 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 the one equal to one angle of the other, and their... | |
| Euclides - Geometry - 1853 - 176 pages
...done. PROPOSITION 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** parallelograms that have one angle of the one equal to one angle of the other, and their sides about... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...be done. PROPOSITION XIV. THEOR. 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 about... | |
| William Somerville Orr - Science - 1854 - 532 pages
...done. PROPOSITION XIV.— THEOREM. Equal parallelograms (AB, BC) which have an angle (B) of the onu **equal to an angle of the other, have their sides about the equal angles reciprocally proportional : and** parallelograms that have an angle of the one equal to an angle of the other, and the sides about those... | |
| Thomas Lund - Geometry - 1854 - 522 pages
...be : BC ; and by making C the centre, that be : BC :: ac : AC. COR. 1. Conversely, if two triangles **have an angle of one equal to an angle of the other,** and the sides forming the equal angles proportionals, the triangles will be similar. COR. 2. Hence,... | |
| Euclides - 1855 - 262 pages
...proportional, they are equiangular. PROP. XV. ТНЕORЕМ. 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, triangles which have an angle in the one equtt to an ang e in the other, and their sides... | |
| War office - 1858 - 578 pages
...third angle. 8 DIRECT COMMISSIONS. 2. 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.** Show also how this follows from the arithmetical method of representing a parallelogram. 3. Solve the... | |
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