Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 43
Page 2
... infinite force . It is useful to con- sider at the outset various theorems connected with the geometrical notion of ... smaller . The curvature at any point is the reciprocal of the radius of this circle for a small arc on each side of ...
... infinite force . It is useful to con- sider at the outset various theorems connected with the geometrical notion of ... smaller . The curvature at any point is the reciprocal of the radius of this circle for a small arc on each side of ...
Page 41
... infinite in number , and the angles of bending infinitely small , but such that their sum may be finite , we have our plane surface bent into a curved surface , which is of course ' developable ' ( § 125 ) . 129. Lift a square of paper ...
... infinite in number , and the angles of bending infinitely small , but such that their sum may be finite , we have our plane surface bent into a curved surface , which is of course ' developable ' ( § 125 ) . 129. Lift a square of paper ...
Page 49
... infinitely small portion bears to the volume of this portion at the same instant . 164. To find the differential equation of continuity , imagine a space fixed in the interior of a fluid , and consider the fluid which flows into this ...
... infinitely small portion bears to the volume of this portion at the same instant . 164. To find the differential equation of continuity , imagine a space fixed in the interior of a fluid , and consider the fluid which flows into this ...
Page 54
... infinitely small . Hence the above statement . It is often convenient to use Newton's Fluxional notation for the rate of change of any quantity per unit of 1 T time . In this notation ( § 28 ) v stands for ( v , -v ) ; so that the rate ...
... infinitely small . Hence the above statement . It is often convenient to use Newton's Fluxional notation for the rate of change of any quantity per unit of 1 T time . In this notation ( § 28 ) v stands for ( v , -v ) ; so that the rate ...
Page 65
... infinite space . But it is remarkable that the first law of motion enables us ( § 215 , below ) to explain what may ... small and trivial cases as well as to the grandest phenomena we can conceive . A curling - stone , projected along a ...
... infinite space . But it is remarkable that the first law of motion enables us ( § 215 , below ) to explain what may ... small and trivial cases as well as to the grandest phenomena we can conceive . A curling - stone , projected along 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