Elements of Natural Philosophy, Part 1 |
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Page 13
... 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 to AOB together ...
... 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 to AOB together ...
Page 22
... respectively . 76. [ The construction described in the preceding section exhibits the resultant of two simple harmonic motions , whether of the same period or not . Only , if they are not of the same period , the diagonal of the ...
... respectively . 76. [ The construction described in the preceding section exhibits the resultant of two simple harmonic motions , whether of the same period or not . Only , if they are not of the same period , the diagonal of the ...
Page 35
... respectively . Α a With radius unity describe the arc AB , and in it take any point I. Draw Ia , Iẞ perpendicular to OA , OB respectively . Let the rota- tions about the two axes be such that that about OB tends to raise I above the ...
... respectively . Α a With radius unity describe the arc AB , and in it take any point I. Draw Ia , Iẞ perpendicular to OA , OB respectively . Let the rota- tions about the two axes be such that that about OB tends to raise I above the ...
Page 45
... respectively . Let A be any point of the body in its primitive condition , and A , the same point of the altered body , so that OA , = a.OA. Now , if we take OC = OA ,, and if C , be the position of that point of the body which was in ...
... respectively . Let A be any point of the body in its primitive condition , and A , the same point of the altered body , so that OA , = a.OA. Now , if we take OC = OA ,, and if C , be the position of that point of the body which was in ...
Page 46
... respectively . They may be found from the preceding construction ( § 150 ) , thus : -In the plane of the shear bisect the obtuse and acute angles between the planes destined not to become deformed . The former bisecting line is the ...
... respectively . They may be found from the preceding construction ( § 150 ) , thus : -In the plane of the shear bisect the obtuse and acute angles between the planes destined not to become deformed . The former bisecting line is the ...
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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