Elements of Natural Philosophy, Volume 1 |
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Page 3
... round the tangent line . The course of such a curve is , in common language , well called ' tortuous ; ' and the mea- sure of the corresponding property is conveniently called Tortuosity . 12. The nature of this will be best understood ...
... round the tangent line . The course of such a curve is , in common language , well called ' tortuous ; ' and the mea- sure of the corresponding property is conveniently called Tortuosity . 12. The nature of this will be best understood ...
Page 4
... round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right angles , —an extension of the result in Euclid , where all reëntrant polygons are excluded ...
... round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right angles , —an extension of the result in Euclid , where all reëntrant polygons are excluded ...
Page 13
... round the point are respectively the areas OAB , OCA . Now OCA , together with half the area of the parallelogram CABD , is equal to OBD . Hence the sum of the two half - moments together with half the area of the parallelogram is equal ...
... round the point are respectively the areas OAB , OCA . Now OCA , together with half the area of the parallelogram CABD , is equal to OBD . Hence the sum of the two half - moments together with half the area of the parallelogram is equal ...
Page 19
... round a pivot at P , which passes through the middle point of each - CA , AD , EB , and BF are rods of half the length of the two former , and so pivotted to them as to form a pair of equal rhombi CD , EF , whose angles can be altered C ...
... round a pivot at P , which passes through the middle point of each - CA , AD , EB , and BF are rods of half the length of the two former , and so pivotted to them as to form a pair of equal rhombi CD , EF , whose angles can be altered C ...
Page 25
... round the circumference of this circle ; and the same point , if moving B ' O P in the direction indicated by the arrow , will B give a simple harmonic motion of P ' , in B'A ' , a quarter of a period behind that of the motion of P in ...
... round the circumference of this circle ; and the same point , if moving B ' O P in the direction indicated by the arrow , will B give a simple harmonic motion of P ' , in B'A ' , a quarter of a period behind that of the motion of P in ...
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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 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 external point 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 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 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.