## Of Motion; an elementary treatise1859 |

### From inside the book

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Page viii

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**space**, time and velocity 32. Expressions for velocities and accelerations in direction of the axes of x , y , and z ...**PASSES THROUGH**A FIXED POINT . 50. The two kinds of this motion 51. ( I. ) Rectilinear motion , acceleration ... Page 1

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**space**it is said to move . 2. All motion has reference to**space**and time , and since a point may , under different circumstances ,**pass**over different**spaces**in equal intervals of time , or require different intervals of time to**pass**... Page 2

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**space passed**over in an unit of time . The units of space and time are perfectly arbitrary . 6. Since the simplicity of an investigation depends greatly upon the choice of units , it may often be advantageous to obtain an expression ... Page 3

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**space passed**over in time t by a point moving uniformly with a velocity v , then will svt . For v units of space are passed over in the unit of time , and therefore vt units of space are passed over in the time t , i . e . svt . If a be ... Page 4

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**space**AB , but the line AB has then arrived at the position CD , therefore the point will be found at D , the ...**passes**along AD . Also it describes AD uniformly , for Ad AD :: 4 PARALLELOGRAM OF VELOCITIES .### 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