Elements of Natural Philosophy, Part 1 |
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Results 6-10 of 79
Page 7
... being called the components of the whole velocity in the three mutually
perpendicular directions N. , E. , and up . 30. A velocity in any direction may be
resolved in , and perpendicular to , any other direction . The first component is
found by ...
... being called the components of the whole velocity in the three mutually
perpendicular directions N. , E. , and up . 30. A velocity in any direction may be
resolved in , and perpendicular to , any other direction . The first component is
found by ...
Page 14
The fixed point from which these lines are drawn is called the hodographic origin
. The invention of this construction is due to Sir W. R. Hamilton ; and one of the
most beautiful of the many remarkable theorems to which it leads is this : The ...
The fixed point from which these lines are drawn is called the hodographic origin
. The invention of this construction is due to Sir W. R. Hamilton ; and one of the
most beautiful of the many remarkable theorems to which it leads is this : The ...
Page 15
If , for simplicity , we consider the motion to be confined to a plane passing
through the fixed point , the angle which the joining line makes with a fixed line in
the plane is continually altering , and its rate of alteration at any instant is called
the ...
If , for simplicity , we consider the motion to be confined to a plane passing
through the fixed point , the angle which the joining line makes with a fixed line in
the plane is continually altering , and its rate of alteration at any instant is called
the ...
Page 16
The angular velocity of a point in a plane is evidently to be found by dividing the
velocity perpendicular to the radius - vector by the length of the radius - vector .
57. When the angular velocity is variable its rate of increase or diminution is
called ...
The angular velocity of a point in a plane is evidently to be found by dividing the
velocity perpendicular to the radius - vector by the length of the radius - vector .
57. When the angular velocity is variable its rate of increase or diminution is
called ...
Page 17
This resultant again we may compound with the ( roughly - known ) velocity of the
sun relatively to the so - called fixed stars ; but , even if all these elements were
accurately known , it could not be said that we had attained any idea of an ...
This resultant again we may compound with the ( roughly - known ) velocity of the
sun relatively to the so - called fixed stars ; but , even if all these elements were
accurately known , it could not be said that we had attained any idea of an ...
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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