Elements of Natural Philosophy, Volume 1 |
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Page 2
If the path be not straight the direction of motion changes from point to point , and
the rate of this change , per unit of length of the curve , is called the Curvature . To
exemplify this , suppose two tangents PT , QU , drawn to a circle , T and radii ...
If the path be not straight the direction of motion changes from point to point , and
the rate of this change , per unit of length of the curve , is called the Curvature . To
exemplify this , suppose two tangents PT , QU , drawn to a circle , T and radii ...
Page 3
The rate of torsion , or the tortuosity , is therefore to be measured by the rate at
which the osculating plane turns about the tangent , per unit length of the curve .
The simplest illustration of a tortuous curve is the thread of a screw . Compare $
41 ...
The rate of torsion , or the tortuosity , is therefore to be measured by the rate at
which the osculating plane turns about the tangent , per unit length of the curve .
The simplest illustration of a tortuous curve is the thread of a screw . Compare $
41 ...
Page 6
Uniform velocity is measured by the space passed over in unit of time , and is , in
general , expressed in feet or in metres per second ; if very great , as in the case
of light , it may be measured in miles per second . It is to be observed that Time ...
Uniform velocity is measured by the space passed over in unit of time , and is , in
general , expressed in feet or in metres per second ; if very great , as in the case
of light , it may be measured in miles per second . It is to be observed that Time ...
Page 9
If we choose as the unit of acceleration that which adds a unit of velocity per unit
of time to the velocity of a point , an acceleration measured by a will add a units of
velocity in unit of time -- and , therefore , at units of velocity in t units of time .
If we choose as the unit of acceleration that which adds a unit of velocity per unit
of time to the velocity of a point , an acceleration measured by a will add a units of
velocity in unit of time -- and , therefore , at units of velocity in t units of time .
Page 13
... second theorem of $ 45 , that in the case supposed the areas described by the
radius - vector are proportional to the times ; for , as we have seen , the moment
of the velocity is double the area traced out by the radius - vector in unit of time .
... second theorem of $ 45 , that in the case supposed the areas described by the
radius - vector are proportional to the times ; for , as we have seen , the moment
of the velocity is double the area traced out by the radius - vector in unit of time .
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Common terms and phrases
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
Bibliographic information
| Title | Elements of Natural Philosophy, Volume 1 Volume 23 of A library of universal literature. Part one - Science [vol.23] Clarendon Press series Elements of Natural Philosophy, Peter Guthrie Tait Nineteenth Century Collections Online (NCCO): Science, Technology, and Medicine: 1780-1925 |
| Authors | William Thomson Baron Kelvin, Peter Guthrie Tait |
| Publisher | Clarendon Press, 1873 |
| Original from | the New York Public Library |
| Digitized | 24 May 2011 |
| Length | 279 pages |
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