 | Robert Potts - Geometry - 1876 - 446 pages
...inscribe a circle in a given triangle. 3. 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. 4. Similar triangles are to one another in the duplicate ratio of their homologous sides. 5. In any... | |
 | D. Tierney - 1877 - 126 pages
...triangle DEC, therefore1 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 angles reciprocally proportional; and, conversely, triangles which have one angle in the one equal to one angle in the other, and their sides... | |
 | 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 angles 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... | |
 | Āryabhaṭa - 1878 - 100 pages
...8). I PROP. xix. TIIEOIIEM. (E. 6. 14, 15). Equal triangles and parallelograms laving an angle of the one, equal to an angle of the other, have their sides about th« equal angles, reciprocally proportional. And conversely triangles and parallelograms having an... | |
 | 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 angles 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... | |
 | 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 angles 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | George Anthony Hill - Physics - 1880 - 204 pages
...equiangular with respect to each other. (b) K they have their homologous sides proportional. (c) If they have an angle of one equal to an angle of the other, and the sides including these angles proportional. (18) The perpendicular upon the hypothenuse of a... | |
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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... 
