Elements of Natural Philosophy, Volume 1 |
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Page 3
... angle , including angles greater than two right angles , and also negative angles . Thus the integral curvature of any closed curve or broken line , whether everywhere concave to the interior or not , is four right angles , provided it ...
... angle , including angles greater than two right angles , and also negative angles . Thus the integral curvature of any closed curve or broken line , whether everywhere concave to the interior or not , is four right angles , provided it ...
Page 4
... right angles , —an extension of the result in Euclid , where all reëntrant polygons are excluded . In the star - shaped figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i . e . it is eight right ...
... right angles , —an extension of the result in Euclid , where all reëntrant polygons are excluded . In the star - shaped figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i . e . it is eight right ...
Page 7
... right angles to each other . Thus , for a train moving up an incline in a N.E. direction , we may have the whole velocity and the steepness of the incline given ; or we may express the same ideas thus the train is moving simultaneously ...
... right angles to each other . Thus , for a train moving up an incline in a N.E. direction , we may have the whole velocity and the steepness of the incline given ; or we may express the same ideas thus the train is moving simultaneously ...
Page 18
... right angles . And with regard to G and G ' it is evident that the directions remain the same , while the lengths are altered in a given ratio ; but this is the definition of similar curves . 66. An excellent example of the ...
... right angles . And with regard to G and G ' it is evident that the directions remain the same , while the lengths are altered in a given ratio ; but this is the definition of similar curves . 66. An excellent example of the ...
Page 22
... angle QCQ is constant ) , and revolves with the same angular velocity as CQ or ... angles QCS and SCQ ' respectively . 76. [ The construction described in the ... right angle ; A and sin BCA = AB CA 77. A most interesting application of ...
... angle QCQ is constant ) , and revolves with the same angular velocity as CQ or ... angles QCS and SCQ ' respectively . 76. [ The construction described in the ... right angle ; A and sin BCA = AB CA 77. A most interesting application of ...
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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.