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الكتب الكتب 31 - 36 من 36 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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A course of mathematics: containing the principles of plane trigonometry ...

Jeremiah Day - 1851
...45°=-=. For V2 R2=l-=sm2 45°+cos2 45=-2sin2 45° Therefore, Sin 45°= V£ =~-^. 97. The chord of an^ 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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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - 1863 - عدد الصفحات: 588
...a circle by means of a given centripetal force, the portion of the circumference which it describes in any time is a mean proportional between the diameter of the circle and the space which the body would descend perpendicularly in the same time, and with the same given force...
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The Practical Examinator on Steam and the Steam Engine: with Instructive ...

1865 - عدد الصفحات: 143
...circle by means of a given centripetal force, the portion of the circumference wfiich it describes in any time is a mean proportional between the diameter of the circle and the space which the body would descend perpendicularly in the same time, and with the same given force...
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Newtons Principia: Book 1, Sections 1. 2. 3 ; with Notes and Illustr. and a ...

Sir Isaac Newton, Percival Frost - 1900 - عدد الصفحات: 292
...body, moving with uniform velocity ina circle under the action of a given centripetal force, describes in any time, is a mean proportional between the diameter of the circle, and the space through which the body would fall from rest under the action of the same force and in the same...
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A Textbook on Sheet-metal Pattern Drafting, المجلد 1

1901
...the circumference is, therefore, 4/15' — 12*, or 4/8T, or 9 inches. Then, the chord of half the arc is a mean proportional between the diameter of the circle and the 9 inches, the height of the segment. Hence, the diameter is equal to -„-, or 25 in. Ans. (2) By Art....
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The Pendulum: Scientific, Historical, Philosophical and Educational Perspectives

Michael R. Matthews, Colin F. Gauld, Arthur Stinner - 2005 - عدد الصفحات: 542
...IX of Book I. Corollary IX of Proposition IV, Book I states: From the same demonstration it likewise follows, that the arc which a body, uniformly revolving in a circle with a given centripetal force, describes in any time, is a mean proportional between the diameter...
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