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الكتب الكتب 1 - 10 من 35 فيFrom the same demonstration it likewise follows that the arc which a body, uniformly....
" From the same demonstration it likewise follows that the arc which a body, uniformly revolving in a circle by means of a given centripetal force, describes in any time is a mean proportional between the diameter of the circle and the space which the same... "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - الصفحة 84
1821 - عدد الصفحات: 425
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The Mathematical Principles of Natural Philosophy, المجلد 1

Sir Isaac Newton, John Machin - 1729
...which a body, uniformly revolving in a circle by means of a given centripetal force, defcribes in any time, is a mean proportional between the diameter of the circle, and the fpace which the fame body falling by the fame given force would defcend thro' in the .fame given time....
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The Laws of Centripetal and Centrifugal Force...

William Emerson - 1769 - عدد الصفحات: 81
...revolves uniformly in a circle, by means of a given centripetal force ; the arch which it defcribes in any time, is a mean proportional between the diameter of the circle, and the fpace which the bod}' would defcend thro' in the fame time, and with the fame given force. For 2R (diameter)...
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Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., المجلد 7

William Emerson - 1769
...revolves uniformly in a circle, by means of a given centripetal force; the arch which it defcribes in any time, is a mean proportional between the diameter of the circle, and the fpacf which the body would defcend thro' in the fame time, and with the fame given force. For 2R (diameter)...
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Tracts: Containing: I. Mechanics, Or the Doctrine of Motion: II.

William Emerson - 1793 - عدد الصفحات: 302
...uniformly in a circle, by means of a given centripetal force ; the arch -which it defcribes in any time, is a mean proportional between the diameter of the circle, and the fpace -which the body would defcend through in the fame time, and -with the fame given force. For 2R...
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The Principles of Fluxions: Designed for the Use of Students in the University

Samuel Vince - 1812 - عدد الصفحات: 256
...constant central force, will be increased in the same ratio of 1 : a2 ; therefore the arc described in any time is a mean proportional between the diameter of the circle and the distance fallen through in the same time, by the constant action of the centripetal force. Now the...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., المجلد 8

1819
...wh.ih a body uniformly revolving in a circle by means of a given centripetal force describes in any time, is a mean proportional between the diameter of the circle, and the space which the same body, lulling by the same gi .'en fo ce, would desceud thiou^h in the same given ti...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - 1815 - عدد الصفحات: 96
...equal to half radius. For the cosine of 60° is the sine of 30°. (Art. 89.) 97. The chord of any arc is a mean proportional, between the diameter of the circle, and the versed sine of the arc. Let ADB (Fig. 6.) be an arc, of which AB is the chord, BF the sine, and AF...
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New series of The mathematical repository, المجلد 4

Thomas Leybourn - 1819
...and the fluxion a1 — л* '--9 (* + *)* - 7, The аг-c of a> circle which. a body, acted u-ponby, a centripetal force, uniformly describes in any given...mean proportional between the diameter of the circle, andi the «pace described by a heavy body from rest in the same time when urged by the force in the...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - عدد الصفحات: 494
...arch, which a body, by revolving uniformly in a circle with a given centripetal force, describes in any time, is a mean proportional between the diameter of the circle, and the descent of the body performed in the same time by falling with the same given force. Scholium. The...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - 1824
...rf."^~ * ' Rs=l=sin3 45°+cot3 45°=2 sin3 45° Therefore, Sin 4d° = v/^ = 97. The chord of any arc is a mean proportional, between the diameter of the circle, and the versed sine of the arc. Let ADB (Fig. 6.) be an arc, of which AB is the chord. BF the sine, and AF...
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