Elements of Natural Philosophy |
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Page 2
... length of the curve , is called the Curvature . To exemplify this , suppose two tangents , PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P ...
... length of the curve , is called the Curvature . To exemplify this , suppose two tangents , PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P ...
Page 3
... length of the curve . The simplest illustration of a tortuous curve is the thread of a screw . Compare § 41 ( d ) . 14. The Integral Curvature , or whole change of direction , of an arc of a plane curve , is the angle through which the ...
... length of the curve . The simplest illustration of a tortuous curve is the thread of a screw . Compare § 41 ( d ) . 14. The Integral Curvature , or whole change of direction , of an arc of a plane curve , is the angle through which the ...
Page 16
... length is equal 180 ° to the radius ; being an angle of = 57 ° 29578 ... = 57 ° 17′44 ′′ -8 nearly . 56. The angular velocity of a point in a plane is evidently to be found by dividing the velocity perpendicular to the radius - vector ...
... length is equal 180 ° to the radius ; being an angle of = 57 ° 29578 ... = 57 ° 17′44 ′′ -8 nearly . 56. The angular velocity of a point in a plane is evidently to be found by dividing the velocity perpendicular to the radius - vector ...
Page 19
... length and G direction of the line joining the two points at any instant , it is obvious that these will be the same ... length moving freely round a pivot at P , which passes through the middle point of each - CA , AD , EB , and BF are ...
... length and G direction of the line joining the two points at any instant , it is obvious that these will be the same ... length moving freely round a pivot at P , which passes through the middle point of each - CA , AD , EB , and BF are ...
Page 22
... lengths equal to their am- plitudes measured on lines meeting at an angle equal to their difference of epochs ; and of epoch differing from their epochs by angles equal to those which this diagonal makes with the two sides of the ...
... lengths equal to their am- plitudes measured on lines meeting at an angle equal to their difference of epochs ; and of epoch differing from their epochs by angles equal to those which this diagonal makes with the two sides of the ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called 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 particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire