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" Join SC, and, because SB and Cc are parallel, the triangle SBC will be equal to the triangle SBc, and therefore also to the triangle SAB. By the like argument, if the centripetal force acts successively in C, D... "
A Treatise on Astronomy - الصفحة 128
بواسطة Elias Loomis - 1870 - عدد الصفحات: 336
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The Mathematical Principles of Natural Philosophy, المجلد 1

Isaac Newton - 1729 - عدد الصفحات: 444
...found in C, in the fame plane with the triangle ASB. Joyn SC3 and, becaufe SB and Cc are para'lel, the triangle SBC will be equal to the triangle SBc, and therefore alfo to the triangle SAB. By the like argument, if the centrip tal force afts fucceffively in C,D,E,...

Philosophia Britannica: Or, A New & Comprehensive System of the Newtonian ...

Benjamin Martin - 1747 - عدد الصفحات: 574
...be at C, and in the fame Plane with the Triangle ASB. Join SC, and becaufe of the Parallels SB, Cr, the Triangle SBC will be equal to the Triangle SBc, and therefore equal to the Triangle SAB. By the fame Way of Reafoning, if t,he centripetal Force act fucceffively...

The Mathematical Principles of Natural Philosophy, المجلد 1،العدد 1

Isaac Newton - 1803 - عدد الصفحات: 310
...1. of the laws) will be found in C, in the fame plane with the triangle ASB. Join SC, and, becaufe SB and Cc are parallel, the triangle SBC will be equal, to the triangle SBc, and therefore all'o to the triangle SAB. By tbe like argument, if the centripetal force acts fuccefiively in C, D,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., المجلد 8

John Mason Good - 1819 - عدد الصفحات: 788
...same plane with the triangle ASH. Join SC; and because SB and c C are parallel) the triangle SBC wiil be equal to the triangle SBC, and therefore also to the triangle SAI!. * By the like argument, if the centripetal force acts successively in C, D, K, &c. and makes...

First Principles of Mechanics: With Historical and Practical Illustrations

William Whewell - 1832 - عدد الصفحات: 572
...plane ASB. Join SC; the triangle SBC is equal to SBc, because cC, BS, are parallel; and therefore to SAB, because Be is equal to BA. In like manner if a centripetal force towards S act impulsively at C, D, E, &c. at the end of equal successive portions of time, causing...

The doctrine of limits, with its applications

William Whewell - 1838 - عدد الصفحات: 204
...plane ASB. Join SC ; the triangle SBC is equal to S Be*, because cC, BS, are parallel; and therefore to SAB, because Be is equal to BA. In like manner if a centripetal force towards S act impulsively at C, D, E, Sac. at the end of equal successive portions of time, causing...

Commentaries on the Principia of sir Isaac Newton respecting his theory ...

Joseph Denison - 1846 - عدد الصفحات: 106
...of the laws) will be found in c, in the same plane with the triangle A s B. Join sc, and because s B and c c, are parallel, the triangle SBC will be equal...triangle SBC, and therefore also to the triangle SAB. By the like argument, if the centripetal force acts successively in c, D, E, &c., and makes the body...

Newton's Principia: Sections I. II. III.

Sir Isaac Newton - 1863 - عدد الصفحات: 316
...triangle ASB, in which Be and cC are drawn. Join SC ; and the triangle SBC, between parallels SB, Cc, will be equal to the triangle SBc, and therefore also to the triangle SAB. In like manner, if the centripetal force act upon the body successively at C, D, E, &c. causing the...

A Treatise on Astronomy

Elias Loomis - 1866 - عدد الصفحات: 384
...second portion of time, the body will be found in C, in the same plane with the triangle ASB. Join SC ; and because SB and Cc. are parallel, the triangle...centripetal force toward S act impulsively at C, D, E, etc., at the end of equal successive portions of time, causing the body to describe the straight...

The Elements of Astronomy: Designed for Academies and High Schools

Elias Loomis - 1870 - عدد الصفحات: 274
...second portion of time the body will be found in C, in the same plane with the triangle ASB. Join SC ; and because SB and Cc are parallel, the triangle SBC...therefore also to the triangle SAB, because Be is equal to AB. a. In like manner, if a centripetal force toward S act impulsively at C, D, E, etc., at the end...




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