 | 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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 - 534 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 - 520 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 - 270 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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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... 
