## Of Motion; an elementary treatise1859 |

### From inside the book

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**horizontal**, its path is nearly straight ; and considering the asperities and unevennesses of the surface , there will be a number of forces called into action at the stone's contact with them , that may account for its deviation from a ... Page 66

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**horizontally**and vertically upwards from the point of projection ) will be V2 V2 sin 21 , - cos 21 ( Art . 43 ) ...**horizontal**) - ( Art . 46 ) : 2g the latus rectum = 2 V2 g cos ( Art 66 PROJECTILES . Projectiles New class of ideas ... Page 67

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**horizontal**plane ) will be sin 2 , and the time of flight g 2 V will be sin ( Art . 46 ) . g = The velocity at any ...**horizontally**and vertically upwards from the point of projection . 118. ( ij ) RECTILINEAR MOTION ABOUT A CENTER ... Page 73

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**horizontal**and AC vertical . Then AC AB sins sin ; = .. v2 - v2 = 2g.AC. C This is the same formula as that for a heavy body falling freely through a space AC , which is the difference of the heights of the two positions of the body in ... Page 74

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**horizontal**. Let v ' be the velocity at A , v1 = that at B on the plane AB ; .. v , cos that at B on the plane BC : = v2 = the velocity at C on the plane BC , v = that at D on the plane CD , & c .; and let the final velocity , at a ...### 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