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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 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...sides. Wherefore equiangular parallelograms, &c. QED PROP. XXIV. THEOR. The parallelograms about the diameter of any parallelogram, are similar to the whole,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...parallelogram CF ; ex a-quali *, K is * 22. 5. to M, as the parallelogram AC to the parallelogram CF : but K has to M the ratio which is compounded of the ratios...parallelogram CF the ratio which is compounded of the rutios of the sides. Wherefore, equiangular parallelograms, &c. QED 12. 6. • 12. 6. • Def. A. 5....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 páginas
...parallelogram CF; ex cnqvali*, f 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...sides. Wherefore, " equiangular parallelograms" &c. QED PROP. XXIV. THEOR. The parallelograms about the diameter of any pa- see N. rattelogram are similar...
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The Element of Geometry

John Playfair - 1836 - 114 páginas
...the parallelogram CF ; (16. 4.) 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...sides. Wherefore, equiangular parallelograms, &c. QED PROP. XXIV. THEOR. The parallelograms about the diameter of any parallelogram are similar to the whole,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 páginas
...22. 4. lelogram CF ; ex aequalif, 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...the sides. Wherefore equiangular parallelograms, &c. PROP. XXIV. THEOR. The parallelograms about the diameter of any parallelogram, are similar to the whole,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...to the parallelogram CF; 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...ratio which is compounded of the ratios of the sides. COB. 1. — The rectangles under the corresponding terms of two analogies are proportional. For let...
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The Elements of Euclid

Euclid - 1838 - 416 páginas
...parallelogram CF ; ex sequali (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...sides. Wherefore, equiangular parallelograms, &c. QED PROP. XXIV. THEOR. THE parallelograms about the diameter of any parallelogram are similar to the whole...
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The Elements of Euclid

Euclid - 1838 - 416 páginas
...parallelogram CF ; ex sequedi (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...sides. Wherefore, equiangular parallelograms, &c. < IED PROP. XXIV. THEOR. THE parallelograms about the diameter of any parallelogram are similar to...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 páginas
...therefore, ex aequali,* K is to M, as the * 22 - 5 ' parallelogram AC to the parallelogram CF: but K has to M the ratio which is compounded of the ratios of the sides; therefore the parallelogram AC has to the parallelogram CF the ratio which is compounded of the ratios of the...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...aequali (10. Pr.), к is to м, as the parallelogram AC to the parallelogram c F : but к has to м the ratio which is compounded of the ratios of the...sides. Wherefore equiangular parallelograms, &c. QED PROP. XXIV. THEOR. THE parallelograms about the diameter of any parallelogram are similar to the whole,...
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