 | Robert Potts - Geometry - 1876 - 446 pages
...circle. 2. To 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... | |
 | Sir George Greenhill - Mathematics - 1876 - 318 pages
...such that and therefore DMEFN is a regular pentagon. v. Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprqcally proportional ; and triangles which have one angle of the one equal to one angle of the... | |
 | D. Tierney - 1877 - 126 pages
...triangle BEC=2 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...angles reciprocally proportional; and, conversely, triangles which have one angle in the one equal to one angle in the other, and their sides about the... | |
 | 1878 - 632 pages
...ВЕС, and DEC, or 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... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...equilateral and 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... | |
 | University of Madras - 1879 - 674 pages
...inscribe an 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... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...AB=CJ BC. V. 8. PROPOSITION XV. THEOREM. Equal triangles, which have one angle of the one equal t» one angle of the other, have their sides about the equal angles reciprocally proportional. Let A BC, ADE be equal AS, having / BAC= L DAE. Then must CA be to AD as EA is to AB. Place the A s... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...proportional DB it 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
...angles at the 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
...square on the radius of the circumscribing circle. 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. ABCD is a quadrilateral having the side AB parallel to CD. The diagonals meet in 0. Prove that АO... | |
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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... 
