Elements of Natural Philosophy, Volume 1 |
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Page 21
... We have obviously P'R = CP ( being projections of the equal and parallel lines QS , CQ , on CR ) . Hence CR = CP + CP ' ; and therefore the point R executes the resultant of the motions P and P ' . But KINEMATICS . 21.
... We have obviously P'R = CP ( being projections of the equal and parallel lines QS , CQ , on CR ) . Hence CR = CP + CP ' ; and therefore the point R executes the resultant of the motions P and P ' . But KINEMATICS . 21.
Page 25
... projections of the areas described by the radius of the circle ) in equal times . But the plane and position of the circle of which this projection is taken may clearly be found so as to fulfil the condition of having the projections of ...
... projections of the areas described by the radius of the circle ) in equal times . But the plane and position of the circle of which this projection is taken may clearly be found so as to fulfil the condition of having the projections of ...
Page 39
... siderations regarding 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 KINEMATICS . 39.
... siderations regarding 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 KINEMATICS . 39.
Page 43
... 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 ...
Page 61
... projection on any plane perpen- dicular to the axis , of the figure representing its moment round any point of the axis . 200. [ The projection of an area , plane or curved , on any plane , is the area included in the projection of its ...
... projection on any plane perpen- dicular to the axis , of the figure representing its moment round any point of the axis . 200. [ The projection of an area , plane or curved , on any plane , is the area included in the projection of its ...
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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 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 friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular 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 theory tion torsion uniform unit vertical whole wire