 | Robert Simson - Trigonometry - 1762 - 488 pages
...alfo FB, BG are in one Itraight linea, the fides of the parallelograms AB, BC about the equal angle?, 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 - 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 - 326 pages
...at B equal ; and let the fides DB, BE, be in one right line, and FB, BG, in another ; then the tides DB, BE, and GB, BF, that are about the equal angles...parallelogram AB is to EF, fo a 7- S> is BC to FE"; but, as AB is to FE, fo is the bafe DB toBEb: 1 i• and, as BC is fo FE, fo is GB to BF " ; therefore... | |
 | 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 - 1814 - 560 pages
...one another. .14. i. 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. Let AB, BC be equal parallelograms, which have the angles at B equal, and let the sides DB, BE be placed... | |
 | 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... | |
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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. 
