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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... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Seite 161
von John Keill - 1772 - 399 Seiten
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 Seiten
...parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is Klt to HD : (vI. 2.) but KHis equal to BG, and HD to GF; therefore, as CE is to ED, so is BG to GF: (v. 7.) again, because FD is parallel to GE, one of the sides of the triangle AGE,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...parallel to KC, one of the sides of the triangle DKC, therefore, as CE to ED, so is KH to HD ; (vi. 2.) but KH is equal to BG, and HD to GF ; therefore, as CE is to ED, so u BG to GF ; (v. 7.) Again, because FD is parallel to GE, one of the sides of the triangle AGE,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 Seiten
...because HE is parallel to KC, one of the sides of the triangle DKC, as C^to ED, so is JOT to HD: (vI. 2.) but KH is equal to BG, and HD to GF; therefore, as CM is to ED, so is BG to GF: (V. 7.) again, because FD is parallel to GE, one of the sides of the triangle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...HE is parallel to KC, one of the sides oi the triangle DKC, as CE to ED, so is KH to HD : (Vi. 2.) but KH is equal to BG, and HD to GF; therefore, as CE is to ED, so is BG to GF: (v. 7.) again, because I'D is parallel to GE, one of the sides of the triangle AGE,...
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Books 3-9

Euclid - 1908
...KC, one of the sides of the triangle DKC, therefore, proportionally, as CE is to ED, so is KH to HD. But KH is equal to BG, and HD to GF; therefore, as CE is to ED, so is BG to GF. Again, since FD has been drawn parallel to GE, one of the sides of the triangle A GE,...
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