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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 First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 Seiten
...And (VI. 2.) because HE is parallel to KC, one of the sides of the triangle DKC, as CE: ED:.KH:HD; but KH is equal to BG, and HD to GF ; therefore, as CE : ED : : BG : GF. Again, (VI. 2.) because FD is parallel to EG, as ED : DA : : GF : FA. But it has...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 Seiten
...because HE is parallel to KC, one of the sides of 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 to ED, so is BG to G/. GF. Again, because FD is parallel to EG, one of the sides of the triangle AGE,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 Seiten
...HE is parallel to KC, A one of the sides of the triangle DKC, as CE to ED, so is (2. 6.) 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...HE is parallel to KC, one of the sides of 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 to ED, so is BG to GF: (v. 7-) again, because FD is parallel to GE, one of the sides 9? the triangle...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 Seiten
...figures FH, /" HB is a parallelogram: wherefore J: _: ^ t 34. i. DH is equalf to FG, and HK to GB: ^ but KH is equal to BG, and HD to GF; therefore, as CE to ED ||, so is BG to GF : n 7. 5. Again, because FD is parallel to GE, one of the sides of the triangle...
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The first six and the eleventh and twelfth books of Euclid's Elements; with ...

Euclides - 1845 - 382 Seiten
...(VI. 2) because HE is parallel to KC, one of the sides of the triangle DKC, as CE : ED : : KH : HD ; but KH is equal to BG, and HD to GF; therefore, as CE : ED :: BG : GF. Again, (VI. 2) because FD is parallel to EG, as ED : DA :: GF : FA. But it has been...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 Seiten
...because he is parallel to kc, one of the sides of the triangle dkc, as ce to ed, so is (vi. 2) 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, as...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...because HE is parallel to KC, one of the sides of the triangle DKC, as CE is to ED, so is KH to HD (c) : but KH is equal to BG, and HD to GF ; therefore, as CE is to ED, so is BG to GF: again, because FD is parallel to EG, one of the sides of the triangle AGE, as ED is...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...because HE is parallel to KC, one of the sides of the triangle DKC, as CE is to ED, so is KH to HD (c) : but KH is equal to BG, and HD to GF ; therefore, as CE is to ED, so is BG to GF : again, because FD is parallel to EG, one of the sides of the triangle AGE, as ED is...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 Seiten
...because HE is parallel to KC, one of the sides of the triangle 3 DKC, as CEto ED, so is KHto 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 FD is parallel to GE, one of the sides of the triangle AGE,...
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