Elements of Natural Philosophy, Volume 1 |
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Page 41
... square of paper , free from folds , creases , or ragged edges , gently by one corner , or otherwise , without crushing or forcing it , or very gently by two points . It will hang in a form which is very rigorously a developable surface ...
... square of paper , free from folds , creases , or ragged edges , gently by one corner , or otherwise , without crushing or forcing it , or very gently by two points . It will hang in a form which is very rigorously a developable surface ...
Page 42
... square , or circle , of the plane surface when bent as explained above , provided it does not include any of these points of intersection . When the number is infinite , and the surface finitely curved , the developable lines will , in ...
... square , or circle , of the plane surface when bent as explained above , provided it does not include any of these points of intersection . When the number is infinite , and the surface finitely curved , the developable lines will , in ...
Page 53
... motion . 179. The Vis Viva , or Kinetic Energy , of a moving body is pro- portional to the mass and the square of the velocity , conjointly . If we adopt the same units of mass and velocity as DYNAMICAL LAWS AND PRINCIPLES . 53.
... motion . 179. The Vis Viva , or Kinetic Energy , of a moving body is pro- portional to the mass and the square of the velocity , conjointly . If we adopt the same units of mass and velocity as DYNAMICAL LAWS AND PRINCIPLES . 53.
Page 54
... square of its velocity . 180. Rate of Change of Kinetic Energy ( when defined as above ) is the product of the velocity into the component of acceleration of momentum in the direction of motion . Suppose the velocity of a mass M to be ...
... square of its velocity . 180. Rate of Change of Kinetic Energy ( when defined as above ) is the product of the velocity into the component of acceleration of momentum in the direction of motion . Suppose the velocity of a mass M to be ...
Page 60
... square of OI . Hence the centre of inertia is the point the sum of the squares of whose distances from any given points is a minimum . For OP2 = 012 + IP2 + 201 · 1Q , P being any one of the points and PQ perpendicular to OI . But IQ is ...
... square of OI . Hence the centre of inertia is the point the sum of the squares of whose distances from any given points is a minimum . For OP2 = 012 + IP2 + 201 · 1Q , P being any one of the points and PQ perpendicular to OI . But IQ is ...
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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 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