Elements of Natural Philosophy, Part 1 |
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Page 62
See an But in this statement it must be understood that the areas of partial
projections are to be reckoned as positive if particular sides , which , for brevity ,
we may call the outside of the projected area and the front of the plane of
projection ...
See an But in this statement it must be understood that the areas of partial
projections are to be reckoned as positive if particular sides , which , for brevity ,
we may call the outside of the projected area and the front of the plane of
projection ...
Page 65
A curling - stone , projected along a horizontal surface of ice , travels equal
distances , except in so far as it is retarded by friction and by the resistance of the
air , in successive intervals of time during which the earth turns through equal
angles .
A curling - stone , projected along a horizontal surface of ice , travels equal
distances , except in so far as it is retarded by friction and by the resistance of the
air , in successive intervals of time during which the earth turns through equal
angles .
Page 66
If two material points be projected from one position , A , at the same instant with
any velocities in any directions , and each left to move uninfluenced by force , the
line joining them will be always parallel to a fixed direction . For the law asserts ...
If two material points be projected from one position , A , at the same instant with
any velocities in any directions , and each left to move uninfluenced by force , the
line joining them will be always parallel to a fixed direction . For the law asserts ...
Page 89
... any point from some point of a certain arbitrarily given surface , from which the
particle has been projected , in the direction of the normal , and with the proper
velocity to make the sum of the potential and actual energies have a given value .
... any point from some point of a certain arbitrarily given surface , from which the
particle has been projected , in the direction of the normal , and with the proper
velocity to make the sum of the potential and actual energies have a given value .
Page 90
Let free particles , not mutually influencing one another , be projected normally
from all points of a certain arbitrarily ... one of the particles which passes through
a given point , the action ' in its course from the surface of projection to this point .
Let free particles , not mutually influencing one another , be projected normally
from all points of a certain arbitrarily ... one of the particles which passes through
a given point , the action ' in its course from the surface of projection to this point .
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acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently experience expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire