 | Robert Simson - Trigonometry - 1775 - 534 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 - 552 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 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 - 530 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... | |
 | Euclides - 1816 - 588 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 - Circle-squaring - 1819 - 350 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 - 354 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 - 1046 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 - 210 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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... reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms which have the angles at B equal, and let the sides DB, BE be placed in the same straight line ; wherefore also FB, BG are in one straight line (2. 
