Elements of Natural Philosophy, Volume 1 |
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Results 1-5 of 41
Page 9
... circle , ABD , radius R , with uniform velocity V. Then , to determine the direction of acceleration , we must draw , as below , from a fixed point O , lines OP , OQ , etc. , representing the velocity at A , B , etc. , KINEMATICS . 9.
... circle , ABD , radius R , with uniform velocity V. Then , to determine the direction of acceleration , we must draw , as below , from a fixed point O , lines OP , OQ , etc. , representing the velocity at A , B , etc. , KINEMATICS . 9.
Page 10
... have given the whole velocity and its direction , or simply the components of the velocity in three rectangular directions , at any time , or , as is most commonly the case , for any position ; the determination of ΤΟ PRELIMINARY .
... have given the whole velocity and its direction , or simply the components of the velocity in three rectangular directions , at any time , or , as is most commonly the case , for any position ; the determination of ΤΟ PRELIMINARY .
Page 11
... determination of the form of the path described , and of other circumstances of the motion , is a question of pure mathematics , and in all cases is capable ( if not of an exact solution , at all events ) of a solution to any degree of ...
... determination of the form of the path described , and of other circumstances of the motion , is a question of pure mathematics , and in all cases is capable ( if not of an exact solution , at all events ) of a solution to any degree of ...
Page 25
... determined harmonic motions differing from one another in phase by a quarter period . Now the resultant of two simple harmonic motions , one a quarter of a period in advance of the other , in different lines , has been proved ( § 82 ) ...
... determined harmonic motions differing from one another in phase by a quarter period . Now the resultant of two simple harmonic motions , one a quarter of a period in advance of the other , in different lines , has been proved ( § 82 ) ...
Page 29
... determine from the two positions of one line AB , A'B ' of the figure the common centre and the amount of the angle of rotation . 93. The lines equidistant from A and A ' , and from B and B , áre parallel if AB is parallel to A'B ...
... determine from the two positions of one line AB , A'B ' of the figure the common centre and the amount of the angle of rotation . 93. The lines equidistant from A and A ' , and from B and B , áre parallel if AB is parallel to A'B ...
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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