 | John Keill - 1723 - 444 sider
...Triangle AGE, as ED is to DA, fo fhall | GF be to FA. But it has been prov'd, that CEis to ED as BG is to GF. Therefore, as CE is to ED, fo is BG to GF ; and as ED is to DA, fo is GF to FA. Wherefore the given undivided Line AB, is divided as the given... | |
 | Euclid - 1765 - 492 sider
...DK c ; it will be [by 2. 6.] as cz is to ED, fo is KH to HD. But KH is equal to BG ; and HD to FG : Therefore as CE is to ED, fo is BG to G F. Again, becaufe FD is drawn parallel to one fide EG of the triangle AGE: as ED is to DA, fo will o F be to FA. But it has been proved that... | |
 | Robert Simson - 1775 - 534 sider
...becaufe HE is parallel to KC one of the fides of the triangle DKC, as CE to ED, fo is cv 6. ' KH to HD : But KH is equal to BG, and HD to GF ; therefore, as CE to ED, fp is BG to GF : Again, becaufe FD is parallel to EG one of the fides of the triangle AGE, as... | |
 | Euclid - 1781 - 552 sider
...becaufe HE is parallel to KC, one of the fides of the triangle DKC, as CE to ED, fo is e KH to HD : But KH is equal to BG, and HD to GF ; therefore, as CE to ED, fo is BG to GF : Again, becaufe ID is parallel to EG, one of the fides of the triangle AGE,... | |
 | Euclid, John Playfair - 1795 - 462 sider
...becaufe HE is parallel to KC, one of the fides ot the triangle DKC, as CE to ED, fo is c KH to HD : But KH is equal to BG, and HD to GF; therefore, as CE to ED, fo is BG to GF. : again, becaufe FD is parallel to EG, one' of the fides of the triangle AGE,... | |
 | Alexander Ingram - 1799 - 374 sider
...becaufe HE is parallel to KC, one of the fides of the triangle DKC, as CE to ED, fo is c KH to HD : But KH is equal to BG, and HD to GF; therefore, as CE to ED, fo is BG to GF: Again, becaufe FD is parallel to EG, one of the fides of the triangle AGE, as... | |
 | Robert Simson - 1804 - 530 sider
...and becaufe HE is parallel to KC one of the fides of the triangle DKC, as CE to ED, fo is c KH to HD. but KH is equal to BG, and HD to GF ; therefore as CE to ED, fo is BG to GF. again, becaufe FD is parallel to EG one of the fides of the triangle AGE, as... | |
 | Robert Simson - 1806 - 546 sider
...v— ' lei to KC, one of the sides of the trianc 2. 6. gle DKC, as CE to ED, so is •: KH to HD : but KH is equal to BG, and HD to GF ; therefore as CE to ED, so is BG to GF : again, because FD is parallel to EG, one of the sides of the triangle AGE,... | |
 | Euclid - 1835 - 540 sider
...because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is <= KH to HD : But KH is equal to BG, and HD to GF: therefore, as CE to ED, so is BG to GF : Again, because FD is parallel to EG, one of the sides of the triangle AGE,... | |
 | John Playfair - 1836 - 148 sider
...because HE is parallel to KC, one of the sides of the triangle DEC, as CE to ED, so is (3. 5.) KH to HD ; but KH is equal to BG, and HD to GF ; therefore as CE to ED, so is BG to GF : again, because FD is parallel to EG, one of the sides of the triangle AGE,... | |
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And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is... 
