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 P B ' O P A 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 ...
... round the circumference of this circle ; and the same point , if moving P B ' O P A 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 ...
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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