 | William Nicholson - 1809 - عدد الصفحات: 684
...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 - عدد الصفحات: 430
...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 - عدد الصفحات: 430
...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 - عدد الصفحات: 376
...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 - عدد الصفحات: 366
...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 - عدد الصفحات: 306
...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 - عدد الصفحات: 292
...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: 500
...= 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 - عدد الصفحات: 238
...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 - عدد الصفحات: 262
...= £|. 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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THIRD AND FOURTH 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... 
