## Of Motion; an elementary treatise1859 |

### From inside the book

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**perpendicular**to AC , = SV SY SY SA ' and .. = SV SA SY But = SA sin ( 90 ° — ) SV = COS ; = SA cos2 L. v'2 .. SV = cos2 , or L 2a 46 . cos ( see Art . 42 ) . The distance from A of the other point where the para- 2v'2 = a v'2 12 bola ... Page 33

... to begin together ; i.e. Act , or the area described in any time varies as the time of its description . ( NEWTON , Prop . 1. ) L. F 63. If p be the

... to begin together ; i.e. Act , or the area described in any time varies as the time of its description . ( NEWTON , Prop . 1. ) L. F 63. If p be the

**perpendicular**from the origin or EQUABLE DESCRIPTION OF AREAS . 33 62. Page 34

John Robert Lunn. 63. If p be the

John Robert Lunn. 63. If p be the

**perpendicular**from the origin or pole on the tangent to the path , pds = 28A , the more nearly as ds and SA are more and more diminished ; dA 2 = dt dt ·· p = 2 · dA ds ds or p = h i . e . pv = h , or v ... Page 70

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**perpendicular**to the radius vector , or the whole acceleration is along the radius vector ; wherefore the whole force on any one planet is constantly directed towards the Sun. ( NEWTON , Prop . 2. ) 127. From the first law , compared ... Page 72

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**perpendicular**to the plane = W cos - R : therefore the acceleration down the plane = g sin وی and the acceleration**perpendicular**to the plane = g cos i - § . But since there is no motion**perpendicular**to the plane.### Other editions - View all

### Common terms and phrases

acceleration produced apse axes axis balls called center of force circle complete oscillation conic section considered constant acceleration cos² curve cycloid d²r d²x described determine the motion Differential Calculus direction of motion distance ds dt dt dt dt dt² dx dy elastic ellipse equal equation experiments fixed point force acting geometrical h²C horizontal hyperbola idea impact impulse inclined plane initial direction initial position initial velocity initially at rest latus rectum Law of Motion mass material bodies measure moving point NEWTON obtained orbit parabola parallelogram particle path perpendicular point be moving quantity of matter radius vector Second Edition semi-latus rectum shew sin² space passed Statics straight line string supposed tangent tion Treatise Trinity College units of space University of Cambridge v'cos v₁ velocity acquired vertex vertical vis viva weight whence