Elements of Natural Philosophy |
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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 the ...
... 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 the ...
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 85 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 85 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 attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem tion torsion uniform unit vertical vibrations weight whole wire