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الكتب الكتب 1 - 10 من 18 فيTHIRD AND FOURTH CLASSES. 1 . Shew from the principles of the fifth Book of Euclid,....
" 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... "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - الصفحة 85
1821 - عدد الصفحات: 425
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., المجلد 5

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...
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New Series of The Mathematical Repository, المجلد 4

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...
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New series of The mathematical repository, المجلد 4

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...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., المجلد 10

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...
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Mathematical problems and examples, arranged according to subjects, from the ...

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...
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The principles of arithmetic. [Followed by] The principles of algebra

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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

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...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

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...
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The elements of algebra, المجلد 1

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...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1849 - عدد الصفحات: 528
...= 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...
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