Elements of Natural Philosophy |
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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 43
... 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 51
... 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 53
... small areas , of con- tact of the pivots on the Y's . Ex . 2 . Let two rounded ends of legs of a three - legged ... infinitely rigid material ) , binding the stool to the rigid body to which these six planes belong . Thus we have a ...
... small areas , of con- tact of the pivots on the Y's . Ex . 2 . Let two rounded ends of legs of a three - legged ... infinitely rigid material ) , binding the stool to the rigid body to which these six planes belong . Thus we have a ...
Page 58
... 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 time . In this notation ( § 28 ) ₺ stands for ( v , -v ) ; so that the rate of ...
... 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 time . In this notation ( § 28 ) ₺ stands for ( v , -v ) ; so that the rate of ...
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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 cord 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 weight whole wire