Elements of Natural Philosophy |
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Page 7
... equation = ( which expresses the definition of the average velocity , §6 ) is more and more nearly true , as the velocity is more nearly uniform during the interval t ; so that if we take the interval small enough the equation may be ...
... equation = ( which expresses the definition of the average velocity , §6 ) is more and more nearly true , as the velocity is more nearly uniform during the interval t ; so that if we take the interval small enough the equation may be ...
Page 12
... equations become v = at , x = fat2 ; v2 = ax . ; v2 = za x Of course the preceding formulae apply to a constant retardation , as in the case of a projectile moving vertically upwards , by simply giving a a negative sign . 44. When there ...
... equations become v = at , x = fat2 ; v2 = ax . ; v2 = za x Of course the preceding formulae apply to a constant retardation , as in the case of a projectile moving vertically upwards , by simply giving a a negative sign . 44. When there ...
Page 51
... equation of con tinuity in an integral form . The form under which the equation of continuity is most commonly given , or the differential equation of continuity , as we may call it , ex- presses that the rate of diminution of the ...
... equation of con tinuity in an integral form . The form under which the equation of continuity is most commonly given , or the differential equation of continuity , as we may call it , ex- presses that the rate of diminution of the ...
Page 57
... equation M = Vp gives the Average ( § 26 ) density ; or , as it is usually called , the Mean density , of the body . It is worthy of particular notice that , in this definition , Newton . says , if there be anything which freely ...
... equation M = Vp gives the Average ( § 26 ) density ; or , as it is usually called , the Mean density , of the body . It is worthy of particular notice that , in this definition , Newton . says , if there be anything which freely ...
Page 74
... . We have seen , however , that it is very distinctly implied in Newton's own interpretation of his third law of motion . As it is usual to inves- tigate the general equations or conditions of equilibrium , in 74 PRELIMINARY .
... . We have seen , however , that it is very distinctly implied in Newton's own interpretation of his third law of motion . As it is usual to inves- tigate the general equations or conditions of equilibrium , in 74 PRELIMINARY .
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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