Elements of Natural Philosophy, Part 1 |
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Page 8
... equal to OB . Join OC : then OC is the resultant velocity in magnitude A and direction . OC is evidently the ... equal increments of velocity in equal times , and is then measured by the actual increase of velocity per 8 PRELIMINARY .
... equal to OB . Join OC : then OC is the resultant velocity in magnitude A and direction . OC is evidently the ... equal increments of velocity in equal times , and is then measured by the actual increase of velocity per 8 PRELIMINARY .
Page 10
... equal ( to V ) , and there- fore PQS is a circle whose centre is 0. 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 ...
... equal ( to V ) , and there- fore PQS is a circle whose centre is 0. 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 ...
Page 13
... equal to OBD . Hence the sum of the two half - moments together with half the area of the parallelogram is equal to AOB together with BOD , that is to say , to the area of the whole figure OABD . But ABD , a part of this figure , is equal ...
... equal to OBD . Hence the sum of the two half - moments together with half the area of the parallelogram is equal to AOB together with BOD , that is to say , to the area of the whole figure OABD . But ABD , a part of this figure , is equal ...
Page 14
... equal to the amount of the acceleration of the moving point . When the hodograph and its origin , and the velocity ... equal areas in equal times , that is ( § 48 ) , let the velocity be inversely as the perpendicular SY from S to the ...
... equal to the amount of the acceleration of the moving point . When the hodograph and its origin , and the velocity ... equal areas in equal times , that is ( § 48 ) , let the velocity be inversely as the perpendicular SY from S to the ...
Page 21
... equal to the diagonal of a parallelogram de- scribed on 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 ...
... equal to the diagonal of a parallelogram de- scribed on 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 ...
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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