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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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Manual of Euclid: books iv., v., vi., by J.A. Galbraith and S. Haughton

Euclides - 1859
...Wherefore, by equality, 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...parallelograms, &c. QED PROPOSITION XXIV.— THEOREM. ITpóraffiç KÍ'. — ITavrèç iгара\\t]\оурàрpоv rà irtpi rf/v ítáirapaXXqXóypa/i/ш...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...parallelogram CF; ex squali, .TT 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...sides. Wherefore, equiangular parallelograms, &c. QED PEOPOS1TION XXTV. THEOREM. Parallclo<jr<tms about the diameter of any parallelogram, are similar to...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...parallelogram CF ; ex aquali, 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...ratio which is compounded of the ratios of the sides. ELM (/) V. 22. COROLLARY 1. If triangles have an angle of the one equal to an angle of the other, they...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...to the parallelogram CF ; K is to M as the parallelogram AC to the parallelogram CP (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. : COR. 1. — If the terms of two analogies are lines, the rectangles ,.i •.• under their corresponding...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...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...sides. Wherefore, equiangular parallelograms, &c. QED C Gin a straight line; and DC and CE shall also be in a straight line (I. 14). Complete the parallelogram...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...CF; ex tequali, K is to M, as the parallelogram ^Cto the parallelogram CF: (v. 22.) but K has to Jf the ratio which is compounded of the ratios of the...parallelograms, &c. QED PROPOSITION XXIV. THEOREM. Parallelograms about the diameter of ang parallelogram, are similar to the whole, and to one another....
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...therefore, ex tequali, 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...sides. Wherefore, equiangular parallelograms, &c. QED PROP. XXIV.— THEOREM. I'aralle.lot/ramn about the diameter of any parallelogram, are similar to the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...that which is said to be compounded of the ratios of K to 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 as BC isto CG; [VI. 1. but BC is to CG as A' is...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...that which is said to be compounded of the ratios of K to L and of L to M ; [V. Def. A . therefore AT has to M the ratio which is compounded of the ratios of the sides. Now the parallelogram AC is to the parallelogram CH ns BC is to CG; [VI. 1. but BC is to CG as K is...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 páginas
...parallelogram CF; ex. ffiquali, K is to H, as the parallelogram .dCto 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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