Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 69
Page 2
... rigid systems - and finally , the deformations of solid and fluid masses . 7. When a point moves from one position to another it must evidently describe a continuous line , which may be curved or straight , or even made up of portions ...
... rigid systems - and finally , the deformations of solid and fluid masses . 7. When a point moves from one position to another it must evidently describe a continuous line , which may be curved or straight , or even made up of portions ...
Page 28
... rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own plane , and this , as far as kinematics is concerned , is entirely summed up ...
... rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own plane , and this , as far as kinematics is concerned , is entirely summed up ...
Page 29
... rigid body , moving in any way subject to the condition that the points of any one plane in it remain always in a fixed plane in space . 95. There is yet a case in which the construction in § 91 is nugatory that is when AA ' is parallel ...
... rigid body , moving in any way subject to the condition that the points of any one plane in it remain always in a fixed plane in space . 95. There is yet a case in which the construction in § 91 is nugatory that is when AA ' is parallel ...
Page 32
... rigid solid , which is in directions wholly perpendicular to a fixed line , may be produced by the rolling of a cylinder fixed in the solid on another cylinder fixed in space , the axes of the cylinders being parallel to the fixed line ...
... rigid solid , which is in directions wholly perpendicular to a fixed line , may be produced by the rolling of a cylinder fixed in the solid on another cylinder fixed in space , the axes of the cylinders being parallel to the fixed line ...
Page 34
... rigid body move in any way whatever , subject only to the condition that one of its points remains fixed , there is always ( without exception ) one line of it through this point common to the body in any two positions . Consider a ...
... rigid body move in any way whatever , subject only to the condition that one of its points remains fixed , there is always ( without exception ) one line of it through this point common to the body in any two positions . Consider a ...
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 cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium Extra fcap finite 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 Natural Philosophy normal section Oxford P₁ P₂ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.