Elements of Natural Philosophy, Volume 1 |
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Page 102
... denoted simply by the terminal letters , taken in the order of the motion . Thus OR will denote the action from 0 to R ; and therefore OR = -RO . When there are more real natural courses from 0 to R than one , the analytical expression ...
... denoted simply by the terminal letters , taken in the order of the motion . Thus OR will denote the action from 0 to R ; and therefore OR = -RO . When there are more real natural courses from 0 to R than one , the analytical expression ...
Page 104
... denoting the natural courses between 0 and P ,, and P , and Q , which deviate infinitely little from this standard course . 318. Considering now , for simplicity , only cases in which there are but two degrees ( § 165 ) of freedom to ...
... denoting the natural courses between 0 and P ,, and P , and Q , which deviate infinitely little from this standard course . 318. Considering now , for simplicity , only cases in which there are but two degrees ( § 165 ) of freedom to ...
Page 116
... denote an angle increasing in proportion to t , the time , through four right angles in the period , T , of the phenomenon ; so that 0 = 2πt T let ƒ ( 0 ) = A ̧ + A1 cos 0 + A2 cos 20+ ... 1 2 + B , sin 0+ B , sin 20 + . B1 1 29 ... 2 ...
... denote an angle increasing in proportion to t , the time , through four right angles in the period , T , of the phenomenon ; so that 0 = 2πt T let ƒ ( 0 ) = A ̧ + A1 cos 0 + A2 cos 20+ ... 1 2 + B , sin 0+ B , sin 20 + . B1 1 29 ... 2 ...
Page 123
... denote the divisions on the vernier , 0 , 1 , 2 , etc. , any set of consecutive divisions on the limb or scale along whose edge it slides . If , when 0 and 0 coin- cide , 10 and 11 coincide also , then 10 divisions of the vernier are ...
... denote the divisions on the vernier , 0 , 1 , 2 , etc. , any set of consecutive divisions on the limb or scale along whose edge it slides . If , when 0 and 0 coin- cide , 10 and 11 coincide also , then 10 divisions of the vernier are ...
Page 137
... denote the magnitude of the resultant ; let a denote the angle DMA , at which its line MD is inclined to MA , the line of the first force P ; and let ẞ denote the angle DMB , at which it is inclined to MB , the direction of the force Q ...
... denote the magnitude of the resultant ; let a denote the angle DMA , at which its line MD is inclined to MA , the line of the first force P ; and let ẞ denote the angle DMB , at which it is inclined to MB , the direction of the force Q ...
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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