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" 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, and Propositions 1-21 of Book XI - Página 92
por Euclid - 1868 - 141 páginas
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The Elements of Euclid, containing the first six books, with a selection of ...

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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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,...
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The Elements of Euclid, with many additional propositions, and explanatory ...

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....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

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...
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The Elements of geometry; or, The first six books, with the eleventh and ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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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