 | Euclid - 1835 - 540 pages
...are in one straight a 14. i. 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 FE is another... | |
 | John Playfair - Geometry - 1836 - 148 pages
...BG are in one straight line (2. 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 BC, and that FE is another... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...are in one straight line (1. 14) ; 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 AE . because the parallelogram AB is equal to \ \ u BC, and that... | |
 | Robert Simson - Geometry - 1838 - 434 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 parallelogram AB is equal to BC, and that FE is an-... | |
 | John Playfair - Euclid's Elements - 1842 - 332 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 FE is another... | |
 | Euclides - 1842 - 316 pages
...BG 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 parallelogram AB is equivalent to BC, and that FE is... | |
 | Euclid - Geometry - 1845 - 218 pages
...BG are • ui in one 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 : t Hyp. And because the parallelogram AB is equal to BCf, and that FE... | |
 | Euclides - Geometry - 1853 - 176 pages
...bg are in one straight line (i. 14). 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 another... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...BG are in one straight line (14. i.). 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 (Hyp.}, and that FE... | |
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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. 
