 CLASSES. 1. Shew from the principles of the fifth book of Euclid, that a ratio of greater inequality is diminished, and of less inequality increased, by adding a quantity to both its terms. 2. The time of day at a given place determined from observations...  New Series of The Mathematical Repository - Page 123by Thomas Leybourn - 1819Full view - About this book
 | William Nicholson - Natural history - 1809 - 684 pages
...inequality, or of equality, according as the antecedent is greater, less than, or equal to the consequent." " A ratio of greater inequality is diminished, and of less inequality increased, by adding any quantity to both its terms. If to the trims of the ratio 7 : 4, 1 be added, it becomes the ratio... | |
 | University of Cambridge - Mathematics - 1821 - 254 pages
...projectiles be thrown at the same instant from the same point and with equal velocities, but in several directions in the same vertical plane, they will at...determined from observations of the sun's altitude is 9h. 10'.45"; and a chronometer set to Greenwich time shews 6h. 3'. 10". Required the longitude of the... | |
 | William Nicholson - Natural history - 1821 - 376 pages
...or of equality, according as the antecedent is greater, less than, or equal to, the consequent." " A ratio of greater inequality is diminished, and of less inequality increased, by adding any quantity to both its terms. If to the terms .of the ratio 7 : 4, 1 be added, it becomes the ratio... | |
 | Mathematics - 1836 - 366 pages
...8x* - \2x + 144 and 3a;2 - \6x - 12. 125. Prove the binomial theorem for any value of the index. 126. A ratio of greater inequality is diminished and of less inequality increased, by adding any quantity to both its terms. 127. The reciprocals of quantities in harmonical progression are in... | |
 | Wales Christopher Hotson - 1842 - 306 pages
...greater or less inequality, according as the antecedent is greater or less than the consequent. 138. A ratio of greater inequality is diminished, and of less inequality increased, by adding any quantity to both its terms. Let * be added to the terms of the ratio r ; o then will - be > or... | |
 | Euclides - 1846 - 292 pages
...extreme and mean ratio at C, shew that the ratio of AC : CB is incommensurable, but nearly =1J. 40. A ratio of greater inequality is diminished, and of less inequality increased, by adding the same quantity to both its terms. 41. Apply a property of the circle (in. 15) to shew that, if four... | |
 | Harvey Goodwin - Mathematics - 1846 - 500 pages
...= b, the ratio is called a ratio of equality. If a is less than b, a ratio of less inequality. 84. A ratio of greater inequality is diminished, and of less inequality increased, fry adding the same quantity to each of its terms. Let - be any ratio, and let ,r be added to each... | |
 | John William Colenso (bp. of Natal.) - 1848 - 238 pages
...f£. Ex. 3. What is the ratio compounded of 2 : 3, 6:7, 14 : 15? Ans. fxfx if = Д or 8 : 15. 155. A ratio of greater inequality is diminished, and of less inequality increased, by adding the same quantity to both its terms. For -> , , as ab + ax > ab + Ъх, as ax^bz. as a>b. In like manner... | |
 | Harvey Goodwin - Mathematics - 1849 - 588 pages
...= b, the ratio is called a ratio of equality. If a is less than b, a ratio of less inequality. 84. A ratio of greater inequality is diminished, and of less inequality increased, by adding the same quantity to each of its terms. Let - be any ratio, and let a> be added to each of its terms... | |
 | John William Colenso - Algebra - 1849 - 262 pages
...= £|. Ex. 3. What is the ratio compounded of 2 : 3, 6:7, 14 : 16 P Am. fxfx if = A or 8 : 15. 155. A ratio of greater inequality is diminished, and of less inequality increased, by adding the same quantity to both its terms. In like manner it may be shewn that a ratio of greater inequality... | |
| |
