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" The weight (W) being on an inclined plane and the force (P) acting parallel to the plane, there is an equilibrium when P : W :: the height of the plane : its length. Definition of Velocity. Prop. 15. Assuming that the arcs which subtend equal angles at... "
The Cambridge course of elementary natural philosophy, being the ... - Σελίδα iv
των John Charles Snowball - 1838 - 81 σελίδες
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The Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ...

William Whewell - 1837 - 182 σελίδες
...Velocities of the two points are to each other in the proportion of these two spaces. * PROP. XXI. If P and W balance each other on the wheel and axle, and the whole be put in motion, P : W \\ W's velocity : Ps velocity. The construction being the same as in Prop. 16, let the machine turn...

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University of Cambridge - 1849
...Definition of Velocity. Prop. 15. Assuming that the arcs which subtend equal angles at the centres of two circles are as the radii of the circles, to...wheel and axle, and the whole be put in motion, P : W :: W's velocity : P's velocity. Prop. 16. To shew that if P and W balance each other in the machines...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...the arcs which subtend equal angles at the centres of two circles are as the radii of the circles, shew that if P and W balance each other on the wheel...put in motion, P : W :: Wa velocity : P's velocity. If W exceed P by nine pounds, and P's Telocity exceeds Ws by six feet per second, the sum of f and...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...condition of equilibrium when the power acts parallel to the base of the plane ? 8. Define velocity. If P and W balance each other on the wheel and axle and the whole be set in motion, P : W :: Ws velocity : P's velocity. Prove this, assuming that the arcs which subtend...

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University of Cambridge - 1864
...Definition of Velocity. Prop. 15. Assuming that the arcs which subtend equal angles at the centres of two circles are as the radii of the circles, to...wheel and axle, and the whole be put in motion, P : W :: Ws velocity : P's velocity. Prop. 16. To shew that if P and W balance each other in the machines...

The Cambridge Course of Elementary Natural Philosophy: Being the ...

1864 - 179 σελίδες
...assumption, .'. P : W :: W'a velocity : P's velocity. f COR. P xP's Telocity = W*W& velocity. 48. PROP. XVL To shew that if P and W balance each other on the Machines described in Propositions XL, XII., XIII., and XIV., and the whole be put in motion, P : W...

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University of Cambridge - 1854
...Definition of Velocity. Prop, 15. Assuming that the arcs which subtend equal angles at the centres of two circles are as the radii of the circles, to...and axle, and the whole be put in motion, P '• W :: Ws velocity : P's velocity. Prop. 16. To shew that if P and W balance each other in the machines...

The Cambridge University Calendar

University of Cambridge - 1845
...Definition of Velocity. Prop. 15. Assuming that the arcs which subtend equal angles at the centres of two circles are as the radii of the circles, to...wheel and axle, and the whole be put in motion, P : W :: W's velocity : P's velocity. Prop. 16. To shew that if P and W balance each other in the machines...

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University of Cambridge - 1855
...Definition of Velocity. Prop. 15. Assuming that the arcs which subtend equal angles at the centres of two circles are as the radii of the circles, to...wheel and axle, and the whole be put in motion, P : W :: We, velocity, : P's velocity. Prop. 16. To shew that if P and W balance each other in the machines...

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University of Cambridge, Sir Thomas Gery Cullum - 1838
...Definition of Velocity. Prop. 15. Assuming that the arcs which subtend equal angles at the centres of two circles are as the radii of the circles, to...wheel and axle, and the whole be put in motion, P : W :: Ws velocity : P's velocity. Prop. 16. To shew that if P and W balance each other in the machines...




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