Elements of Natural Philosophy, Volume 1 |
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Page 34
... condition that one of its points . remains fixed , there is always ( without exception ) one line of it through this point common to the body in any two positions . Consider a spherical surface within the body , with its centre at the ...
... condition that one of its points . remains fixed , there is always ( without exception ) one line of it through this point common to the body in any two positions . Consider a spherical surface within the body , with its centre at the ...
Page 37
... condition for S of § 113 . 116. We may now briefly consider the case in which the guiding cones ( 110 ) are both circular , as it has important applications to the motion of the earth , the evolutions of long or flattened projec- tiles ...
... condition for S of § 113 . 116. We may now briefly consider the case in which the guiding cones ( 110 ) are both circular , as it has important applications to the motion of the earth , the evolutions of long or flattened projec- tiles ...
Page 43
... condition of the body , remain similar and similarly situated among one another . 139. The lengths of parallel lines of the body remain in the same proportion to one another , and hence all are altered in the same pro- portion . Hence ...
... condition of the body , remain similar and similarly situated among one another . 139. The lengths of parallel lines of the body remain in the same proportion to one another , and hence all are altered in the same pro- portion . Hence ...
Page 44
... condition of the body . Along one of these the elongation is greater , and along another less , than along any other direction in the body . Along the remaining one the elongation is less than in any other line in the plane of itself ...
... condition of the body . Along one of these the elongation is greater , and along another less , than along any other direction in the body . Along the remaining one the elongation is less than in any other line in the plane of itself ...
Page 45
... condition , and A , the same point of the altered body , so that OA , = a.OA. Now , if we take OC = OA ,, and if C , be the position of that point of the body which was in the position C initially , we shall have OC , = 1OC , and ...
... condition , and A , the same point of the altered body , so that OA , = a.OA. Now , if we take OC = OA ,, and if C , be the position of that point of the body which was in the position C initially , we shall have OC , = 1OC , and ...
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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