An Introduction to Mathematics
Dynamics
Excerpts
Dynamics
The state of a body unacted on by force is that of uniform motion in a straight line, and no external force or influence is to be looked for as the cause, or, if you like to put it so, as the invariable accompaniment of this uniform rectilinear motion. Rest is merely a particular case of such motion, merely when the velocity is and remains zero.
Dynamics
For example, a velocity requires for its definition the assignment of a magnitude and of a direction. It must be of so many miles per hour in such and such a direction.
Dynamics
If the steamer were still, in one minute he would arrive at $B$; but during that minute his starting point $A$ on the deck has moved to $D$, and his path on the deck has moved from $AB$ to $DC$.
Dynamics
But according to the Newtonian law, apart from some force the planet would move for ever with its existing velocity in a straight line, and thus depart entirely from the sun.
Dynamics
Galileo affirmed that they would fall in the same time, and proved his point by dropping weights from the top of the leaning tower.
Equations
Problems
No exercises in this chapter.