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 CQ ; and ... angles QCS and SCQ respectively . 76. [ The construction described in the ... right angle ; A and せ AB sin BCA = CA ] СА 77. A most interesting ...
... angle QCQ is constant ) , and revolves with the same angular velocity as CQ or CQ ; and ... angles QCS and SCQ respectively . 76. [ The construction described in the ... right angle ; A and せ AB sin BCA = CA ] СА 77. A most interesting ...
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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