Elements of Natural Philosophy |
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Page 10
... centre is O. The direction of acceleration at A is parallel to the tangent at P , that is , is per- pendicular to OP , i.e. to Aa , and is therefore that of the radius AC . Now P describes the circle PQS , while A describes ABD . Hence ...
... centre is O. The direction of acceleration at A is parallel to the tangent at P , that is , is per- pendicular to OP , i.e. to Aa , and is therefore that of the radius AC . Now P describes the circle PQS , while A describes ABD . Hence ...
Page 11
... centre of the curve at every instant ( S $ 66 , 78 ) . ( c ) If the components of the velocity parallel to each axis be equi- multiples of the distances from the other axis , the path is a straight line passing through the origin . ( d ) ...
... centre of the curve at every instant ( S $ 66 , 78 ) . ( c ) If the components of the velocity parallel to each axis be equi- multiples of the distances from the other axis , the path is a straight line passing through the origin . ( d ) ...
Page 15
... centre of the circle , and O the hodographic origin . Join OA and draw the perpendiculars PM to OA and ON to PA . Then OP is the velocity in the orbit : and ON , being parallel to the tangent at P , is the direc- tion of acceleration in ...
... centre of the circle , and O the hodographic origin . Join OA and draw the perpendiculars PM to OA and ON to PA . Then OP is the velocity in the orbit : and ON , being parallel to the tangent at P , is the direc- tion of acceleration in ...
Page 16
... centre of a circle an arc whose 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 ...
... centre of a circle an arc whose 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 ...
Page 17
... centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius - vector . Hence the whole heat and light received by the planet in any time is pro ...
... centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius - vector . Hence the whole heat and light received by the planet in any time is pro ...
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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 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 vibrations weight whole wire