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الكتب الكتب 11 - 20 من 40 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... "
The Mathematical Principles of Natural Philosophy - الصفحة 46
بواسطة Sir Isaac Newton - 1803
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - عدد الصفحات: 494
...the 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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - عدد الصفحات: 372
...revolves uniformly in a circle, by means of a given centripetal force, the arch, which it describes in any time, is a mean proportional between the diameter of the circle and Ihe space which the body wonld descend through in the game time, and with the same given force. For...
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Solutions of the Cambridge Problems: From 1800 to 1820, المجلد 2

John Martin Frederick Wright - 1825 - عدد الصفحات: 653
...centre. 6. If a body be acted on by a given force and revolve in a circle, the arc described in any given time is a mean proportional between the diameter of the circle and the space through which a body would descend m the same time from rest if acted on by the same force. 7....
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Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827
...centre. 6. If a body be acted on by a given force and revolve in a circle, the arc described in any given time is a mean proportional between the diameter of the circle and the space through which a body would descend in the same time from rest if acted on by the same force....
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Alma Mater, Or, Seven Years at the University of Cambridge, المجلد 1

John Martin Frederick Wright - 1827
...6. If a body be acted on by a given force and revolve in a circle, the arc described .in any given time is a mean proportional between the diameter of the circle and the space through which a body would descend in the same time from rest if acted on by the same force....
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The London encyclopaedia, or, Universal dictionary of science, art ...

Thomas Curtis (of Grove house sch, Islington)
...of the bodies from the centres instead of the radii. Cor. 9. 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...
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New series of The mathematical repository, المجلد 5

Thomas Leybourn - 1830
...i6-rr feet and y = PN. Then (prin. sect. 2. p. 4 cor. 9) the arc which a body describes in a circle in any time (/) is a mean proportional between the diameter of the circle and the space fallen thro' by a body in the same time and acted upon by the same force. .-. supposing (t} to...
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - 1831
...vary as — , and also as -j^30. Prove that, if a body describe a circle uniformly, the arc described in any time is a mean proportional between the diameter of the circle, and the space which the body would fall through in the same time, if acted upon by the force which retains...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - 1831 - عدد الصفحات: 155
...v/2 R3 = l=sina 45°+cosa 45°=2sin* 45° Therefore, Sin 45° = v/£ = -i-. 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...
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