Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 6-10 of 40
Page 11
... curve at every instant ( §§ 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 ) When the ...
... curve at every instant ( §§ 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 ) When the ...
Page 12
... curve , we know that AP - 40A PQ . B Hence V2 OA = 2a ' and is therefore known . Also OA is known in direction , for AP bisects the angle , OAC , between the focal distance of a point and the diameter through it . 45. When the ...
... curve , we know that AP - 40A PQ . B Hence V2 OA = 2a ' and is therefore known . Also OA is known in direction , for AP bisects the angle , OAC , between the focal distance of a point and the diameter through it . 45. When the ...
Page 14
... curve which is called the Hodograph . The fixed point from which these lines are drawn is called the hodographic origin . The invention of this construction is due to Sir W. R. Hamilton ; and one of the most beautiful of the many ...
... curve which is called the Hodograph . The fixed point from which these lines are drawn is called the hodographic origin . The invention of this construction is due to Sir W. R. Hamilton ; and one of the most beautiful of the many ...
Page 18
... curves . 66. An excellent example of the transformation of relative into absolute motion is afforded by the family of Cycloids . We shall in a future section consider their mechanical description , by the rolling of a circle on a fixed ...
... curves . 66. An excellent example of the transformation of relative into absolute motion is afforded by the family of Cycloids . We shall in a future section consider their mechanical description , by the rolling of a circle on a fixed ...
Page 23
... curve would be that described by the point P in § 66 , if , while Q maintained its uniform circular motion , the circle were to move with uniform velocity in any direction perpendicular to OA . This construction gives the harmonic curve ...
... curve would be that described by the point P in § 66 , if , while Q maintained its uniform circular motion , the circle were to move with uniform velocity in any direction perpendicular to OA . This construction gives the harmonic curve ...
Other editions - View all
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