| William Nicholson - 1809
...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... | |
| Thomas Leybourn - 1819
...projectiles be thrown at the same in. from the same point and with equal velocities, but in seve« ral **directions in the same vertical plane, they will at...determined from observations of the sun's altitude is** </' 10"' 45' ; and a chronometer set to Greenwich time shews 61" 3™ 10". Required the longitude of... | |
| Thomas Leybourn - 1819
...Found in the circumference of some •circle. TUESDAY AFTERNOON. — Mr. BLAND. i' "•"!'•'•"• **Third and Fourth Classes. 1. Shew from the principles...determined from observations of the sun's altitude is** 9"" iom 45' ; and a chronometer set to /Greenwich time shews 6h 3* 10". Required the longitude of the... | |
| William Nicholson - 1821
...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... | |
| 1836
...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
...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
...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 - 1846 - عدد الصفحات: 468
...= 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
...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... | |
| John William Colenso - 1849
...= £|. 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... | |
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