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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; viz. the first six books, together with the eleventh ...

Euclides - 1814
...parallelogram CF: ex scquali', K is to M, as the pa- '22.. rallelogram AC to the parallelogram CF : But K has to M the ratio which is compounded of the ratios...also the parallelogram AC has to the parallelogram CFthe ratio which is compounded of the ratios of the sides. Wherefore equiangular parallelograms, &c....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...parallelogram CF: ex fequalif, K is to M, as the pa- *22. S. rallelogram 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 see N. parallelogram, are similar to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 páginas
...parallelogram CF ; ex zequali (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 ratios of the sides. Wherefore equiangular paralle-* lograms, &c'. Q, ED • PROP. XXIV. THEOR. The parallelograms about the diameter of any parallelogram,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 páginas
...parallelogram CF ; ex aequali (22. 5.), K is to M, as the parallelogram AC to the pawllelogram CF ; but K has to M the ratio which is compounded of the ratios...the ratio which is compounded of the ratios of the sidss. Wherefore equiangular, paralle^ lograms, &c. Q, ED PROP. XXIV. THEOR, The parallelograms about...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 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 K PROP. XXIV. THEOR. THE parallelograms about the diameter of any parallelogram are similar to the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...parallelogram CF; ex trquali, ('22. 5.) К is to M, as the parallelogram AC to the parallelogram CF : but E has to M the ratio which is compounded of the ratios...the sides. Wherefore equiangular parallelograms, &c. Q. Б. D. PROP. xxiv. TH"EOR. The parallelograms about Ihc diameter of any parallelogram, are similar...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 páginas
...to M, as the parallelogram AC to the parallelogram CF ; but K has to M the ratie whieh is eompounded of the ratios of the sides; therefore also the parallelogram AC has to the parallelogram CF the ratio whieh is eompounded of the ratios of the sides. Wherefore equiangular parallelograms, &e. QED A- PROP....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...parallelogram CF; ex aequali*, • **• 5K 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. QBD See N. PROP. XXIV. THEOR. Parallelograms about the diameter of any parallelogram, are similar to...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 páginas
...angles and the same sides containing them, these parallelograms (36. Cor. 1.) will be to one another in the ratio which is compounded of the ratios of the sides ; therefore the triangles, which are their halves, will be to one another in the same ratio. (17. Cor. 1.) Otherwise:...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 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...ratio which is compounded of the ratios of the sides. W &c. QED herefore equiangular parallelograms. PROP. XXIV. THEOR. The parallelograms about the diameter...
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