Elements of Natural Philosophy |
From inside the book
Results 1-5 of 100
Page 2
... whole of this chapter ; which will form , as it were , the Geometry of the subject , embracing what can be observed or concluded with regard to actual motions , as long as the cause is not sought . In this category we shall first take ...
... whole of this chapter ; which will form , as it were , the Geometry of the subject , embracing what can be observed or concluded with regard to actual motions , as long as the cause is not sought . In this category we shall first take ...
Page 3
... whole change of direction , of an arc of a plane curve , is the angle through which the tangent has turned as we pass from one extremity to the other . The average curvature of any portion is its whole curvature divided by its length ...
... whole change of direction , of an arc of a plane curve , is the angle through which the tangent has turned as we pass from one extremity to the other . The average curvature of any portion is its whole curvature divided by its length ...
Page 7
... whole foundation of Newton's differential calculus is , in fact , contained in the simple question , ' What is the rate at which the space described by a moving point increases ? ' i . e . What is the velocity of the moving point ...
... whole foundation of Newton's differential calculus is , in fact , contained in the simple question , ' What is the rate at which the space described by a moving point increases ? ' i . e . What is the velocity of the moving point ...
Page 8
... whole velocity by the cosine of the angle between its direction and that of the component . The velocity resolved in any direction is the sum of the resolved parts ( in that direction ) of the three rectangular com- ponents of the whole ...
... whole velocity by the cosine of the angle between its direction and that of the component . The velocity resolved in any direction is the sum of the resolved parts ( in that direction ) of the three rectangular com- ponents of the whole ...
Page 9
... 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 vs as in § 28 , we have a = v = s . 34. But there is another form in which ...
... 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 vs as in § 28 , we have a = v = s . 34. But there is another form in which ...
Other editions - View all
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