Elements of Natural Philosophy, Volume 1 |
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Page 22
... projections of the equal and parallel lines Q'S , CQ , on CR \ . Hence CR = CP + CP ' ; and therefore the point R executes the resultant of the motions P and P ' . But CS , the diagonal of the parallelogram , is constant B B ' - ( since ...
... projections of the equal and parallel lines Q'S , CQ , on CR \ . Hence CR = CP + CP ' ; and therefore the point R executes the resultant of the motions P and P ' . But CS , the diagonal of the parallelogram , is constant B B ' - ( since ...
Page 26
... projections of simple harmonic motions are clearly simple harmonic with unchanged phase . Hence , if we pro- ject the case of § 81 on any plane , we get motion in an ellipse , of which the ... projection is taken may clearly 26 PRELIMINARY .
... projections of simple harmonic motions are clearly simple harmonic with unchanged phase . Hence , if we pro- ject the case of § 81 on any plane , we get motion in an ellipse , of which the ... projection is taken may clearly 26 PRELIMINARY .
Page 27
William Thomson Baron Kelvin, Peter Guthrie Tait. the circle of which this projection is taken may clearly be found so as to fulfil the condition of having the projections of the ranges coincident with any two given mutually bisecting ...
William Thomson Baron Kelvin, Peter Guthrie Tait. the circle of which this projection is taken may clearly be found so as to fulfil the condition of having the projections of the ranges coincident with any two given mutually bisecting ...
Page 41
... projections . 122. Euler's Theorem . - There are at every point of a synclastic surface two normal sections , in one of which the curvature is a maximum , in the other a minimum ; and these are at right angles to each other . In an ...
... projections . 122. Euler's Theorem . - There are at every point of a synclastic surface two normal sections , in one of which the curvature is a maximum , in the other a minimum ; and these are at right angles to each other . In an ...
Page 45
... projection of the first on some plane . The elongation of the body along any line is the proportion which the addition to the distance between any two points in that line bears to their primitive distance . 140. Every orthogonal projection ...
... projection of the first on some plane . The elongation of the body along any line is the proportion which the addition to the distance between any two points in that line bears to their primitive distance . 140. Every orthogonal projection ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic applied attraction axes axis called Cambridge centre of gravity centre of inertia circle co-ordinates component configuration consider constant corresponding cosine couple curvature curve Demy 8vo denote density described diagram direction of motion displacement distance Edited elastic ellipse ellipsoid elongation equal equations equilibrium external point fixed point fluid forces acting friction geometrical given force Hence hodograph inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal P₁ parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square St John's College straight line strain suppose tangent tion torsion uniform unit University of Cambridge vertical whole wire
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