Elements of Natural Philosophy, Volume 1 |
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Page 2
... side of the point . 11. If all the points of the curve lie in one plane , it is called a plane curve , and if it be made up of portions of straight or curved lines it is called a plane polygon . If the line do PRELIMINARY .
... side of the point . 11. If all the points of the curve lie in one plane , it is called a plane curve , and if it be made up of portions of straight or curved lines it is called a plane polygon . If the line do PRELIMINARY .
Page 3
... sides are , indefinitely small . Any two consecutive sides , of course , lie in a plane - and in that plane the curvature is measured as above ; but in a curve which is not plane the third side of the polygon will not be in the same ...
... sides are , indefinitely small . Any two consecutive sides , of course , lie in a plane - and in that plane the curvature is measured as above ; but in a curve which is not plane the third side of the polygon will not be in the same ...
Page 8
... sides of a triangle taken in the same order , it is at rest . Hence the resultant of velocities represented by the sides of any closed polygon whatever , whether in one plane or not , taken all in the same order , is zero . Hence also ...
... sides of a triangle taken in the same order , it is at rest . Hence the resultant of velocities represented by the sides of any closed polygon whatever , whether in one plane or not , taken all in the same order , is zero . Hence also ...
Page 20
... side or the other of the middle point of the course , i . e . ÕA or OA ' in the figure . An arc of the circle referred to , or any convenient angular reck- oning of it , measured from any fixed point to the uniformly moving point Q , is ...
... side or the other of the middle point of the course , i . e . ÕA or OA ' in the figure . An arc of the circle referred to , or any convenient angular reck- oning of it , measured from any fixed point to the uniformly moving point Q , is ...
Page 22
... sides of the parallelogram . Let P and be two points executing simple harmonic motions of one period , and in one line B'BCAA ' . Let Q and Q be the uniformly moving points in the relative circles . On CQ and CQ describe a parallelogram ...
... sides of the parallelogram . Let P and be two points executing simple harmonic motions of one period , and in one line B'BCAA ' . Let Q and Q be the uniformly moving points in the relative circles . On CQ and CQ describe a parallelogram ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord corresponding 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 formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire