Elements of Natural Philosophy, Volume 1 |
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Page 2
... angle and the length of the circular arc PQ . Now , if be the angle , s the arc , and r the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents , and as the measure of an angle is the ...
... angle and the length of the circular arc PQ . Now , if be the angle , s the arc , and r the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents , and as the measure of an angle is the ...
Page 3
... angle through which this turns during the motion of the point exhibits what we have defined as the integral curvature . In esti- mating this , we must of course take the enlarged modern meaning of an angle , including angles greater ...
... angle through which this turns during the motion of the point exhibits what we have defined as the integral curvature . In esti- mating this , we must of course take the enlarged modern meaning of an angle , including angles greater ...
Page 4
... 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 angles ...
... 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 angles ...
Page 7
... 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 ... angle . Thus a point moving with velocity V up an Inclined KINEMATICS . 7 دو.
... 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 ... angle . Thus a point moving with velocity V up an Inclined KINEMATICS . 7 دو.
Page 8
... angle a with the horizon , has a vertical velocity sin a and a horizontal velocity Vcosa . Or it may be resolved into components in any three rectangular directions , each component being found by multiplying the whole velocity by the ...
... angle a with the horizon , has a vertical velocity sin a and a horizontal velocity Vcosa . Or it may be resolved into components in any three rectangular directions , each component being found by multiplying the whole velocity by 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