Elements of Natural Philosophy |
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Page 16
... proportional to the distance of that point from a fixed line - a property belonging exclusively to the conic sections referred to their focus and directrix . 53. The path which , in consequence of Aberration , a fixed star seems to ...
... proportional to the distance of that point from a fixed line - a property belonging exclusively to the conic sections referred to their focus and directrix . 53. The path which , in consequence of Aberration , a fixed star seems to ...
Page 17
... proportional to the corresponding angle - vector in the orbit , i . e .. to the angle through which the tangent to PQ has turned . Hence ( $ 9 ) the curvature of PQ is constant , or PQ is a circle . This demonstration , reversed ...
... proportional to the corresponding angle - vector in the orbit , i . e .. to the angle through which the tangent to PQ has turned . Hence ( $ 9 ) the curvature of PQ is constant , or PQ is a circle . This demonstration , reversed ...
Page 22
... proportional to the displacement from the middle point , but in opposite direction , or always towards the middle point . Its maximum value is that with which a velocity equal to that of the circular motion would be acquired in the time ...
... proportional to the displacement from the middle point , but in opposite direction , or always towards the middle point . Its maximum value is that with which a velocity equal to that of the circular motion would be acquired in the time ...
Page 25
... proportional to the sines of the abscissae , the straight line in which O moves being the axis of abscissae . It is the simplest possible form assumed by a vibrating string ; and when it is assumed that at each instant the motion of ...
... proportional to the sines of the abscissae , the straight line in which O moves being the axis of abscissae . It is the simplest possible form assumed by a vibrating string ; and when it is assumed that at each instant the motion of ...
Page 32
... proportional to its distance from the fulcrum , and its direction of motion at any instant perpendicular to the line joining it with the fulcrum . This is of course true of the particular form of lever called the Wheel and Axle . 98 ...
... proportional to its distance from the fulcrum , and its direction of motion at any instant perpendicular to the line joining it with the fulcrum . This is of course true of the particular form of lever called the Wheel and Axle . 98 ...
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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 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 parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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 vibrations weight whole wire