| John Playfair - 1842 - 317 páginas
...parallelogram CF ; ex aequali (22. 5.), 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...ratio which is compounded of the ratios of the sides.** . COR. Hence, any two rectangles are to each other as the products of their bases multiplied by their... | |
| Euclides - 1845
...parallelogram GF; ex aequali, K is to M, as the parallelogram AC to the parallelogram CF: (v.22.) but K **has to M the ratio which is compounded of the ratios...parallelograms, &c. QED PROPOSITION XXIV. THEOREM.** Parallelograms about the diameter of any parallelogram, are similar to the whole, and to one another.... | |
| Euclid - 1845 - 199 páginas
...parallelogram CF ; ex requali f, K is to t 22. «. M, as the parallelogram AC to the parallelogram CF : but K **has to M the ratio which is compounded of the ratios...equiangular parallelograms, &c. QED PROPOSITION XXIV.** THEOR. — The parallelograms about the diameter of any parallelogram, are similar to the whole, and... | |
| John Playfair - 1846 - 317 páginas
...parallelogram CF ; ex sequali (22. 5.), K is to M, as the parallelogram AC to the parallelogram CF ; but K hag **to M the ratio which is compounded of the ratios of...ratio which is compounded of the ratios of the sides.** COR. Hence, any two rectangles are to each other as the products of their bases multiplied by their... | |
| Euclides - 1846
...therefore, ex asquali, the parallelogram AC is to the parallelogram CF as K to M : But K is to M in **the ratio which is compounded of the ratios of the sides ; therefore also the parallelogram AC** is to the parallelogram CF in the ratio which is compounded of the ratios of the sides. Wherefore,... | |
| Euclides - 1853 - 147 páginas
...С f : ex œquali (v. 22), k is to Щ, as the parallelogram a С to the parallelogram С f : but k **has to m the ratio which is compounded of the ratios of the sides ; therefore also the parallelogram** a С has to the parallelogram С f the ratio which is compounded of the ratios of the sides. Wherefore,... | |
| John Playfair - 1855 - 318 páginas
...parallelogram CF ; ex aquali (22. 5.), 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 sides; therefore also the parallelogram AC** Las to the parallelogram CF the ratio which is compounded of the ratios of the sides. DR Coa. Hence,... | |
| Euclides - 1855
...parallelogram CF ; ex cequali, K is to M, as the parallelogram AC is to the parallelogram CF (/). But K **has to M the ratio which is compounded of the ratios of the sides ; therefore also** Ihe parallelogram, AC has to the parallelogram, CF the ratio which is compounded of the ratios of the... | |
| Euclides - 1855
...Wherefore, ex cequali, K is to M, as the parallelogram AC is to the parallelogram CF (V. 22). But K **has to M the ratio which is compounded of the ratios of the sides,** fherefore also the parallelogram AC has to the parallelogram CF, the ratio which is compounded of the... | |
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