Elements of Natural Philosophy, Volume 1 |
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Page 1
The circumstances of mere motion , considered without reference to the bodies
moved , or to the forces producing the motion , or to the forces called into action
by the motion , constitute the subject of a branch of Pure Mathematics , which is ...
The circumstances of mere motion , considered without reference to the bodies
moved , or to the forces producing the motion , or to the forces called into action
by the motion , constitute the subject of a branch of Pure Mathematics , which is ...
Page 5
The original curve , considered with reference to the other , is called the Evolute .
21. It will be observed that we speak of an involute , and of the evolute , of a curve
. In fact , as will be easily seen , a curve can have but one evolute , but it has ...
The original curve , considered with reference to the other , is called the Evolute .
21. It will be observed that we speak of an involute , and of the evolute , of a curve
. In fact , as will be easily seen , a curve can have but one evolute , but it has ...
Page 14
It consists in drawing a curve , which may be called the tidal hodograph with
reference to any point of a chart for which the tidal currents are to be specified
throughout the chief tidal period ( twelve lunar hours ) . Numbers from I. to XII .
are ...
It consists in drawing a curve , which may be called the tidal hodograph with
reference to any point of a chart for which the tidal currents are to be specified
throughout the chief tidal period ( twelve lunar hours ) . Numbers from I. to XII .
are ...
Page 16
... 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 Acceleration , and is measured with reference to
the ...
... 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 Acceleration , and is measured with reference to
the ...
Page 19
As an additional illustration of this part of our subject , we may define as follows :
If one point A executes any motion 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 ...
As an additional illustration of this part of our subject , we may define as follows :
If one point A executes any motion 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 ...
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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