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Books Books 1 - 10 of 23 on And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to....  
" And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 161
by John Keill - 1772 - 399 pages
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Logarithms - 1723 - 364 pages
...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...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclides, David Gregory - Mathematics, Greek - 1765 - 464 pages
...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...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...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,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...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,...
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The elements of Euclid: viz. the first six books, with the eleventh and ...

Trigonometry - 1799 - 351 pages
...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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...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...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, John Davidson - Mathematics - 1835 - 513 pages
...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,...
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The Element of Geometry

John Playfair - Trigonometry - 1836 - 114 pages
...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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