Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 51
Page 7
... equation v = ( which expresses the definition of the average velocity , § 26 ) 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 ...
... equation v = ( which expresses the definition of the average velocity , § 26 ) 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 ...
Page 12
... equations become v = at , x = at2 , v2 = ax . 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 is uniform ...
... equations become v = at , x = at2 , v2 = ax . 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 is uniform ...
Page 49
... 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 53
... 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 pervades ...
... 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 pervades ...
Page 70
... equations of motion for any system for which the equations of equilibrium have been investigated . 231. Every rigid body may be imagined to be divided into inde- finitely small parts . Now , in whatever form we may eventually find a ...
... equations of motion for any system for which the equations of equilibrium have been investigated . 231. Every rigid body may be imagined to be divided into inde- finitely small parts . Now , in whatever form we may eventually find a ...
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 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