Elements of Natural Philosophy |
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Page 2
... straight , or even made up of portions of curved and straight lines meeting each other at any angles . If the motion be that of a material particle , however , there can be no abrupt change of velocity , nor of direction unless where ...
... straight , or even made up of portions of curved and straight lines meeting each other at any angles . If the motion be that of a material particle , however , there can be no abrupt change of velocity , nor of direction unless where ...
Page 7
... straight or a curved line ; but , since , in the latter case , the direction of motion continually changes , the mere amount of the velocity is not sufficient completely to describe the motion , and we must have in every such case ...
... straight or a curved line ; but , since , in the latter case , the direction of motion continually changes , the mere amount of the velocity is not sufficient completely to describe the motion , and we must have in every such case ...
Page 11
... straight line passing through the origin . ( d ) When the velocity is uniform , but in a direction revolving uniformly in a right circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the cone ...
... straight line passing through the origin . ( d ) When the velocity is uniform , but in a direction revolving uniformly in a right circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the cone ...
Page 15
... straight line , whose distance from the origin is the horizontal velocity , and which is described uniformly . U -B 51. To prove Hamilton's proposition ( § 49 ) , let APB be a portion of a conic section and S one focus . Let P move so ...
... straight line , whose distance from the origin is the horizontal velocity , and which is described uniformly . U -B 51. To prove Hamilton's proposition ( § 49 ) , let APB be a portion of a conic section and S one focus . Let P move so ...
Page 16
... angular velocity is not uniform , as in T. 2π ' a planet's motion , it is useful to introduce the quantity which is T ' then called the mean angular velocity . 59. When a point moves uniformly , in a straight 16 PRELIMINARY .
... angular velocity is not uniform , as in T. 2π ' a planet's motion , it is useful to introduce the quantity which is T ' then called the mean angular velocity . 59. When a point moves uniformly , in a straight 16 PRELIMINARY .
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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