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" 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... "
Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ... - Sivu 259
tekijä(t) John Martin F. Wright - 1827
Koko teos - Tietoja tästä kirjasta

The Mathematical Principles of Natural Philosophy, Nide 1

Isaac Newton - 1729 - 444 sivua
...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....

The Laws of Centripetal and Centrifugal Force...

William Emerson - 1769 - 104 sivua
...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)...

Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Nide 7

William Emerson - 1769 - 370 sivua
...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)...

Tracts: Containing: I. Mechanics, Or the Doctrine of Motion: II.

William Emerson - 1793 - 386 sivua
...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...

The Principles of Fluxions

Samuel Vince - 1812 - 298 sivua
...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...

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

John Mason Good - 1819 - 788 sivua
...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...

A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - 1815 - 388 sivua
...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...

New Series of The Mathematical Repository, Nide 4

Thomas Leybourn - 1819 - 430 sivua
...- a')' 7. The arc of a circle which a body, acted upon by a centripetal force, uniformly describes in any given time is a mean proportional between the diameter of the circle, and the space described by a heavy body from rest in the same time when urged by the force in the circumference continued...

New Series of The Mathematical Repository, Nide 4

Thomas Leybourn - 1819 - 430 sivua
...- 7, The аг-c of a> circle which. a body, acted u-ponby, a centripetal force, uniformly describes in any given time is a 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...

Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

1821 - 464 sivua
...of ~—, 7. The arc of a circle which a body, acted upon by a centripetal force, uniformly describes in any given time is a mean proportional between the diameter of the circle, and the space described by a heavy body from rest in the same time when urged by the force in the circumference continued...




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