Elements of Natural Philosophy, Volume 1 |
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Page 2
... length of the curve , is called the Curvature . To exemplify this , suppose P T U 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 ...
... length of the curve , is called the Curvature . To exemplify this , suppose P T U 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 ...
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 nearly . П = 57 ° 29578 ... = 57 ° 17′44 ′′ .8 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 nearly . П = 57 ° 29578 ... = 57 ° 17′44 ′′ .8 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 18
... length and direction of the line joining the two points at any instant , it is obvious that these will be the same ... lengths are altered in a given ratio ; but this is the definition of similar curves . 66. An excellent example of the ...
... length and direction of the line joining the two points at any instant , it is obvious that these will be the same ... lengths are altered in a given ratio ; but this is the definition of similar curves . 66. An excellent example of the ...
Page 19
... length moving freely round a pivot at P , which passes through the middle point of each - CA , AD , EB , and BF are rods of half the length of the two former , and so pivotted to them as to form a pair of equal rhombi CD , EF , whose ...
... length moving freely round a pivot at P , which passes through the middle point of each - CA , AD , EB , and BF are rods of half the length of the two former , and so pivotted to them as to form a pair of equal rhombi CD , EF , whose ...
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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