| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| |