 CF ; but K has 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. Wherefore equiangular parallelograms, &c.  Manual of Euclid: Books IV, V, VI. - Page 92by Euclid - 1868Full view - About this book
 | Robert Simson - Trigonometry - 1762 - 488 pages
...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... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...CF ; 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... | |
 | Euclid - 1781 - 552 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...the 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... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...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... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...the 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... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
.... 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... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...parallelogram 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 the ratios of the sides. Wherefore, equiangular parallelqgrams, tyc. QED PROP. XXIV. THEOR. THE parallelograms about the diameter of any see N. parallelogram,... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...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...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... | |
 | Euclid - Geometry - 1810 - 554 pages
...parallelogram CF ; ex ai/uati1, 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...the sides. Wherefore, equiangular parallelograms, kc. QED PROP. XXIV. THEOR. THE parallelograms about the diameter of any See Note, parallelogram, are... | |
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