 | 1878 - 632 pages
...otherwise) that 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...reciprocally proportional ; and triangles which have one angle of the one equal to one angle of the other and their sides about4'the equal angles reciprocally... | |
 | J. G - 1878 - 408 pages
...secant contained between the point and the parallels. 14. // two parallelograms are equal in area, and have an angle of the one equal to an angle of the other, then tfie sides which contain Vie angle of the first are the extremes of a proportion of which the... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...Cor. 3). ABE BE .. . ABC ABD The same is true of parallelograms. BE BF' VI. Theorem. If two triangles have an angle of the one equal to an angle of the other, the ratio of their areas is equal to that of the products of the sides which contain those angles.... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...equiangular pentagon in a given circle. 12. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal...reciprocally proportional ; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally... | |
 | University of Madras - 1879 - 674 pages
...equilateral and equiangular quindecagon. V. Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal...reciprocally proportional ; and triangles which have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally... | |
 | Oxford univ, local exams - 1880 - 396 pages
...base double of the third angle. 10. 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...found. QEF PROPOSITION 14. THEOREM. Equal parallelograms which hare 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... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...be in harmonical proportion. 12. 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. ALGEBRA. 1. Prove that se и х (у -f- 2) -( --- \- - is equal to a, у , 0-2 if* = ¡^Taudу = —r"2.... | |
 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 pages
...the ratio of AN to NB is the duplicate of the ratio of AM to MB. 2. If two triangles of equal area have an angle of the one equal to an angle of the other, prove that the sides about the equal angles are reciprocally proportional. 3. Shew how to divide a... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 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... | |
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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... 
