| 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.... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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:... | |
| 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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