Elements of Natural Philosophy, Volume 1 |
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Page 9
... tion during any time is the whole velocity gained during that time , divided by the time . In Newton's notation is used to express the acceleration in the direction of motion ; and , if v = ¿ as in § 28 , we have a = v = 8 , 34. But ...
... tion during any time is the whole velocity gained during that time , divided by the time . In Newton's notation is used to express the acceleration in the direction of motion ; and , if v = ¿ as in § 28 , we have a = v = 8 , 34. But ...
Page 10
... tion ) , whose magnitude is proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form of the path , or the direction of motion . Hence ...
... tion ) , whose magnitude is proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form of the path , or the direction of motion . Hence ...
Page 13
... tion holds when O is within the angle CAB . If there be any number of component rectilineal motions , we may compound them in order , any two taken together first , then a third , and so on ; and it follows that the sum of their moments ...
... tion holds when O is within the angle CAB . If there be any number of component rectilineal motions , we may compound them in order , any two taken together first , then a third , and so on ; and it follows that the sum of their moments ...
Page 15
... tion of acceleration in the orbit ; and is therefore parallel to the radius - vector to the fixed point about which there is equable description of areas . The velocity parallel to the radius - vector is therefore ON , and the velocity ...
... tion of acceleration in the orbit ; and is therefore parallel to the radius - vector to the fixed point about which there is equable description of areas . The velocity parallel to the radius - vector is therefore ON , and the velocity ...
Page 17
... tion , the acceleration , if towards either focus , varies inversely as the square of the distance : or , if a point moves in a conic section , describing equal areas in equal times by a radius - vector through a focus , the ...
... tion , the acceleration , if towards either focus , varies inversely as the square of the distance : or , if a point moves in a conic section , describing equal areas in equal times by a radius - vector through a focus , the ...
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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