Elements of Natural Philosophy |
From inside the book
Page 2
... suppose two tangents , PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P. and Q , and the rate of change is to be measured by the relation ...
... suppose two tangents , PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P. and Q , and the rate of change is to be measured by the relation ...
Page 3
... Suppose a line , drawn through any fixed point , to turn so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have ...
... Suppose a line , drawn through any fixed point , to turn so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have ...
Page 4
... Suppose we have a single pulley B , about which the flexible and inextensible cord ABP is wrapped , and suppose its free portions to be parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of ...
... Suppose we have a single pulley B , about which the flexible and inextensible cord ABP is wrapped , and suppose its free portions to be parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of ...
Page 6
... suppose that , at any instant during the motion , the steam is so adjusted as to keep the train running for some time at a uniform velocity . This is the velocity which the train had at the instant in question . Without supposing any ...
... suppose that , at any instant during the motion , the steam is so adjusted as to keep the train running for some time at a uniform velocity . This is the velocity which the train had at the instant in question . Without supposing any ...
Page 27
... suppose , for simplicity , the two component motions to take place in perpendicular directions . Also , it is easy to see that we can only have a reëntering curve when their periods are commensurable . The following figures represent ...
... suppose , for simplicity , the two component motions to take place in perpendicular directions . Also , it is easy to see that we can only have a reëntering curve when their periods are commensurable . The following figures represent ...
Other editions - View all
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 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 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 weight whole wire