| Robert Simson - Trigonometry - 1775 - 520 pages
...alfo FB, BG are in one ftraight line1 : The fides of the parallelograms AB, BC about the equal angles, **are reciprocally proportional ; that is, DB is to BE, as GB to BF.** Complete the parallelogram FE ; and becaufe the parallelogram AB is equal to BC, and . ---- that FE... | |
| Euclid - Geometry - 1776 - 318 pages
...at B equal ; and let the fides DB, BE, be in one right line, and FB, BG, in another; then the iides **DB, BE, and GB, BF, that are about the equal angles...parallelogram AB is to EF, fo a 7. s- is BC to FE** a; but, as AB is to FE, fo is the bafe DB to BE b; *^ '• and, as BC is ro FE, fo is GB to BF a ;... | |
| Euclid - 1781 - 550 pages
...FB, BG are in one ftraight line * : The fides of the parallelograms AB, BC about the equal angles, **are reciprocally proportional ; that is, DB is to BE, as GB to BF.** Complete the parallelogram FE ; and becaufe the parallelogram AB is equal to BC, and that FE is another... | |
| John Playfair - Euclid's Elements - 1795 - 444 pages
...are in one ftraight line» : the fides of the parallelograms AB, BC about the e- »14-jqual angles, **are reciprocally proportional ; that is, DB is to BE, as GB to BF.** Complete the parallelogram FE ; and becaufe the parallelogram AB is equal to BC, and that FE is another... | |
| Robert Simson - Trigonometry - 1804
...FB, BG are in one ftraight line »..the fides of the parallelograms AB, BC about the equal angles, **are reciprocally proportional ; that is, DB is to BE, as GB to BF.** Complete the parallelogram FE; and becaufe the parallelogram AB is equal to BC, and that FE is another... | |
| Euclides - 1816 - 528 pages
...are in one •14. 1. straight line". The sides of the parallelograms AB, BC about the equal angles, **are reciprocally proportional; that is, DB is to BE, as GB to BF.** Complete the parallelogram FE ; and because the parallelogram AB is equal to^ ~£ BC, and that FE is... | |
| John Playfair - Euclid's Elements - 1819 - 333 pages
...are in one straight line (14. 1.) : the sides of the parallelograms AB, BC, about the equal angles, **are reciprocally proportional ; that is, DB is to BE, as GB to BF.** Complete the parallelogram FE ; and because the parallelograms AB, BC are equal, and F£ is another... | |
| John Playfair - 1819 - 317 pages
...are in one straight line (14. 1.) : the sides of the parallelograms AB, BC, about the equal angles, **are reciprocally proportional ; that is, DB is to BE, as GB to** V BF. Complete the parallelogram FE ; and because the parallelog AB, BC are equal, and FK is another... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...BG are in one itraight liner (14. 1.) The sides of the parallelograms AB, BC about the equal angles, **are reciprocally proportional : that is, DB is to BE, as GB to BF.** Complete the parallelogram FE ; and because the parallelogram AB is equal to ”1C, and that FE is another... | |
| John Playfair - Geometry - 1829 - 186 pages
...BC be two equal parallelograms, which have the angles at B equal; the sides about the equal angles **are reciprocally proportional, that is, DB is to BE as GB to BF. Let the** sides DB, BE be placed in the same line, then the angles DBG, GBE are equal to two right angles ( 1... | |
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