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" K hag to M the ratio which is compounded of the ratios of the sides ; therefore also the parallelogram AC has to the parallelogram CF the ratio which is compounded of the ratios of the sides. COR. Hence, any two rectangles are to each other as the products... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pągina 141
per John Playfair - 1846 - 317 pągines
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pągines
...parallelogram CF ; ex aequali f, K is to M, as f. "• the parallelogram AC to trie parallelogram CF. but K has to M the ratio which is compounded of the ratios of the fides ; therefore alfo the parallelogram AC has to the parallelogram CF the ratio which is compounded...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 pągines
...ex aequali f, K is to M, as the paralle- f *2• •' logram AC to the parallelogram CF : But K has to M the ratio which is compounded of the ratios of the fides ; therefore alfo the parallelogram AC has to the parallelogram CF the ratio which is compounded...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pągines
...parrallelogram CF ; ex aequali f, K to M, as the paral- f tt lelogram AC to the parallelogram CF : But K has to M the ratio which is compounded of the ratios of the fides; therefore alfo the parallelogram AC has to the parallelogram CF the ratio which is compounded...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 pągines
...parallelogram AC to the parallelogram N 4 CF : a 14. i. b 12.6. 10. def.j. Book VI. CF : but K has to M the ratio which is compounded of the " ratios of the fides ; therefore alfo the parallelogram AC has to the parallelogram CF the ratio which is compounded...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 pągines
...parallelogram CF ; by equality r, K is to M, as the parallelogram AC to the parallelogram CF: But K has to M the ratio which is compounded of the ratios of the fides ; therefore alfo the pa- j^ y, j^£ I£ jp rallelogram AC has to the parallelogram CF the ratio...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 pągines
.... but K has to M the ratio which is compounded of th* "~v • ratios of the fides ; therefore alfo the parallelogram AC has to the parallelogram CF the ratio which is compounded ol" the ratios of the fides. Wherefore equiangular parallelogram:. &c. QE. D. PROP. XXIV. THEO R. parallelograms...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...parallelogram CF; ex aequali f, K is to M, as the parallelogram AC to the parallelogram CF. but K has to M the ratio which is compounded of the ratios of the fides; therefore alfo the parallelogram AC has to the parallelogram CF the ratio which is compounded...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 pągines
...CF ; ex filiuili f, K is to M, as the parallelogram AC to the f 22. 5., parallelogram CF : but K has to M the ratio which is compounded of the ratios of...ratio which is compounded of the ratios of the sides. Wherefore, equiangular parallelqgrams, tyc. QED PROP. XXIV. THEOR. THE parallelograms about the diameter...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pągines
...parallelogram CH : parallelogram CF, K : M : : parallelogram AC : parallelogram CFf. f 22. 5. But K has to M the ratio which is compounded of the ratios of...sides ; therefore also the parallelogram AC has to the d 1. 6. e 11. 5. Book VI. parallelogram CF the ratio which is compounded of the rav^-vw/ tios of the...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...parallelogram CF: ex scquali', K is to M, as the pa- '22.. rallelogram AC to the parallelogram CF : But K has to M the ratio which is compounded of the ratios of...also the parallelogram AC has to the parallelogram CFthe ratio which is compounded of the ratios of the sides. Wherefore equiangular parallelograms, &c....
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