Elements of Natural Philosophy |
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Page 11
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ( S ...
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ( S ...
Page 12
... axis is parallel to that direction . This is the case of a projectile moving in vacuo . For the velocity ( V ) in the original direction of motion remains unchanged ; and therefore , in time t , a space Vt is described parallet to this ...
... axis is parallel to that direction . This is the case of a projectile moving in vacuo . For the velocity ( V ) in the original direction of motion remains unchanged ; and therefore , in time t , a space Vt is described parallet to this ...
Page 14
... axis . Sections 45-47 , taken in connexion with the second of these laws , show that the acceleration of the motion of a planet or comet is along the radius - vector . 49. If , as in § 35 , from any fixed point , lines be drawn at every ...
... axis . Sections 45-47 , taken in connexion with the second of these laws , show that the acceleration of the motion of a planet or comet is along the radius - vector . 49. If , as in § 35 , from any fixed point , lines be drawn at every ...
Page 15
... axis . Produce YS to cut the circle again in Z. Then YS . SZ is constant , and therefore SZ is inversely as SY , that is , SZ is proportional to the velocity at P. Also SZ is perpendicular to the direction of motion PY , and thus the ...
... axis . Produce YS to cut the circle again in Z. Then YS . SZ is constant , and therefore SZ is inversely as SY , that is , SZ is proportional to the velocity at P. Also SZ is perpendicular to the direction of motion PY , and thus the ...
Page 23
... axis through C , and the others pivoted on a framework carried by CQ ' , are so arranged that Q'S turns very approximately at the rate of once round in 12 mean lunar hours , if CQ be turned uni- formly at the rate of once round in 12 ...
... axis through C , and the others pivoted on a framework carried by CQ ' , are so arranged that Q'S turns very approximately at the rate of once round in 12 mean lunar hours , if CQ be turned uni- formly at the rate of once round in 12 ...
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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