Elements of Natural Philosophy, Volume 1 |
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Page 8
Hence the resultant of velocities represented by the sides of any closed polygon
whatever , whether in one plane or not , taken all in the same order , is zero .
Hence also the resultant of velocities represented by all the sides of a polygon
but ...
Hence the resultant of velocities represented by the sides of any closed polygon
whatever , whether in one plane or not , taken all in the same order , is zero .
Hence also the resultant of velocities represented by all the sides of a polygon
but ...
Page 10
... to the square of the velocity divided by the radius of curvature . The whole
acceleration will , in every case , be the resultant of the acceleration thus
measuring change of direction and the acceleration of actual velocity along the
curve . 40.
... to the square of the velocity divided by the radius of curvature . The whole
acceleration will , in every case , be the resultant of the acceleration thus
measuring change of direction and the acceleration of actual velocity along the
curve . 40.
Page 13
The moment of the resultant velocity of a particle about any point in the plane of
the components is equal to the algebraic sum of the moments of the components
, the proper sign of each moment depending on the direction of motion about the
...
The moment of the resultant velocity of a particle about any point in the plane of
the components is equal to the algebraic sum of the moments of the components
, the proper sign of each moment depending on the direction of motion about the
...
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 ...
Page 19
... whatever with reference to a second point B ; if B executes any other motion
with reference to a third point C ; and so on - the first is said to execute , with
reference to the last , a movement which is the resultant of these several
movements .
... whatever with reference to a second point B ; if B executes any other motion
with reference to a third point C ; and so on - the first is said to execute , with
reference to the last , a movement which is the resultant of these several
movements .
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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 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 remarkable 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