Elements of Natural Philosophy, Volume 1 |
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... portion of our Treatise on Natural Philosophy . As it is designed more especially for use in Schools and in the junior classes in Universities , the mathematical methods employed are , almost without exception , limited to those of the ...
... portion of our Treatise on Natural Philosophy . As it is designed more especially for use in Schools and in the junior classes in Universities , the mathematical methods employed are , almost without exception , limited to those of the ...
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... portion of the present volume has been in type since the autumn of 1863 , and has been printed for the use of our classes each autumn since that date . W. THOMSON , P. G. TAIT . November , 1872 . + CONTENTS . DIVISION I. PRELIMINARY ...
... portion of the present volume has been in type since the autumn of 1863 , and has been printed for the use of our classes each autumn since that date . W. THOMSON , P. G. TAIT . November , 1872 . + CONTENTS . DIVISION I. PRELIMINARY ...
Page 2
... portions of curved and straight lines meeting each other at any angles . If the motion be that of a material particle ... portion of a curve may be approximately taken as a circular arc , the approximation being closer and closer to the ...
... portions of curved and straight lines meeting each other at any angles . If the motion be that of a material particle ... portion of a curve may be approximately taken as a circular arc , the approximation being closer and closer to the ...
Page 3
... portions of straight or curved lines it is called a plane polygon . If the line do not lie in one plane , we have in ... portion is its whole curvature divided by its length . Suppose a line , drawn through any fixed point , to turn so ...
... portions of straight or curved lines it is called a plane polygon . If the line do not lie in one plane , we have in ... portion is its whole curvature divided by its length . Suppose a line , drawn through any fixed point , to turn so ...
Page 4
... portions to be parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of the portions AB and PB will be shortened by one - half of PP ' . Hence , when P moves through any space in the direction ...
... portions to be parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of the portions AB and PB will be shortened by one - half of PP ' . Hence , when P moves through any space in the direction ...
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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