 | Euclides - 1816 - 588 pàgines
...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 of...ratio which is compounded of the ratios of the sides. Wherefore equiangular parallelograms, &c. QED PROP. XXIV. THEOR. THE parallelograms about the diameter... | |
 | John Playfair - 1819 - 350 pàgines
...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...ratio which is compounded of the ratios of the sides. Wherefore equiangular paralle-* lograms, &c'. Q, ED • PROP. XXIV. THEOR. The parallelograms about... | |
 | John Playfair - 1819 - 354 pàgines
...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 of...the ratio which is compounded of the ratios of the sidss. Wherefore equiangular, paralle^ lograms, &c. Q, ED PROP. XXIV. THEOR, The parallelograms about... | |
 | Peter Nicholson - 1825 - 1046 pàgines
...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 of...ratio which is compounded of the ratios of the sides. Wherefore equiangular parallelograms, &c. Q. Б. D. PROP. xxiv. TH"EOR. The parallelograms about Ihc... | |
 | Euclid, John Playfair - 1826 - 326 pàgines
...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 - 546 pàgines
...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 of...ratio which is compounded of the ratios of the sides. Wherefore equiangular parallelograms, &c. QBD See N. PROP. XXIV. THEOR. Parallelograms about the diameter... | |
 | James Hayward - 1829 - 218 pàgines
...its height, and CE X CG is the product of the base of the rectangle CEFG by its height. Therefore — Two rectangles are to each other as the products of their bases by their heights. 159. It is usual to estimate areas by square feet, square yards, square rods, &c.... | |
 | Pierce Morton - 1830 - 584 pàgines
...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:... | |
 | Euclides - 1834 - 518 pàgines
...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 of...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.... | |
 | Euclid - 1835 - 540 pàgines
...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 of...ratio which is compounded of the ratios of the sides. Wherefore, " equiangular parallelograms" &c. QED PROP. XXIV. THEOR. The parallelograms about the diameter... | |
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K hag 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. COR. Hence, any two rectangles are to each other as the products... 
