| Robert Potts - Geometry, Plane - 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 - 634 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 - 412 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 - 394 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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