| Euclides - 1874
...parallelogram CF; ex sequali, 4. K is to M, as the parallelogram AC to the parallelogram CF(V. 22); but .5" **has to M the ratio which is compounded of the ratios of the sides : therefore also** 5. The parallelogram AC has to the parallelogram CF, the ratio which is compounded of the ratios of... | |
| Robert Potts - 1876 - 403 páginas
...parallelogram CF; ex fequali, K is to M, as the parallelogram ACio 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,... | |
| Euclides - 1876
...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 the** parattelogram AC has to .the parallelogram CF the ratio which is compounded of the ratios of the sides.... | |
| Isaac Todhunter - 1880 - 400 páginas
...that which is said to be compounded of the ratios of JTto L and of L to M; [V. Def. A. therefore K **has to M the ratio which is compounded of the ratios of the sides.** Now the parallelogram AC is to the parallelogram CH as2?<7isto CG; [VI. 1. but BC is to CG as K is... | |
| Euclides - 1881
...Wherefore, ex aequali, 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...sides. Wherefore, equiangular parallelograms, &c. QED** OUunime. — because there are three parallelograms AC, C 11, and C F. The first AC hai to the third... | |
| Euclid, Isaac Todhunter - 1883 - 400 páginas
...the parallelogram CF, having the angle BCD equal to the angle ECO: the parallelogram AC shall have **to the parallelogram CF the ratio which is compounded of the ratios of** their sides. Let BC and CG be placed in a straight line ; therefore DC and CE are also in a straight... | |
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