## Of Motion; an elementary treatise1859 |

### From inside the book

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Page iv

... of previous knowledge of the subject is almost necessary , and the work itself is inadmissible in the case of those who are unacquainted with the

... of previous knowledge of the subject is almost necessary , and the work itself is inadmissible in the case of those who are unacquainted with the

**Differential Calculus**. This in- troductory position I propose to take up . I have written ... Page v

... of a force by the product of the mass moved and the acceleration produced , as the beginner would not be very likely to have a clear notion of this : this is more especially true of those Articles in which the

... of a force by the product of the mass moved and the acceleration produced , as the beginner would not be very likely to have a clear notion of this : this is more especially true of those Articles in which the

**Differential Calculus**is ... Page viii

... of the focus ib . 23 44. Position of the vertex . ib . 45. Magnitude of the latus rectum 24 47. Velocity at any point ib . 48. Investigation of the above by means of the

... of the focus ib . 23 44. Position of the vertex . ib . 45. Magnitude of the latus rectum 24 47. Velocity at any point ib . 48. Investigation of the above by means of the

**differential calculus**. 25 CHAPTER IV . OF THE MOTION OF A POINT ... Page 8

... of s ' and t ; therefore it is true when s ' and t are indefinitely diminished , in which case s ' t v = = Limit = Limit ; because s and s ' are ultimately equal . A. 15. If we employ the

... of s ' and t ; therefore it is true when s ' and t are indefinitely diminished , in which case s ' t v = = Limit = Limit ; because s and s ' are ultimately equal . A. 15. If we employ the

**differential calculus**, we shall obtain the same ... Page 11

... of the

... of the

**differential calculus**we may obtain the same result . For if dv be the velocity acquired in a small time St immediately subsequent to the instant under considera- tion , and if a ' , a " be the greatest and least values of the ...### 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