Treatise on Natural Philosophy, Volume 1, Issue 1At the University Press, 1879 - Mechanics, Analytic |
From inside the book
Results 1-5 of 86
Page xii
... whole Motion round an Axis - Re- sultant Axis Virtual Velocity - Virtual Moment Work - Practical Unit - Scientific Unit - Work of a Force- Work of a Couple - Transformation of Work - Potential Energy • Newton's Laws of Motion - First ...
... whole Motion round an Axis - Re- sultant Axis Virtual Velocity - Virtual Moment Work - Practical Unit - Scientific Unit - Work of a Force- Work of a Couple - Transformation of Work - Potential Energy • Newton's Laws of Motion - First ...
Page 7
... whole change of direction of Integral an arc of a plane curve , is the angle through which the tangent of a curve has turned as we pass from one extremity to the other . The $ 136 ) . average curvature of any portion is its whole ...
... whole change of direction of Integral an arc of a plane curve , is the angle through which the tangent of a curve has turned as we pass from one extremity to the other . The $ 136 ) . average curvature of any portion is its whole ...
Page 13
... whole velocity and the steepness of the incline , or we may express the same ideas thus -- the train is moving simultaneously northward , eastward , and upward- and the motion as to amount and direction will be completely known if we ...
... whole velocity and the steepness of the incline , or we may express the same ideas thus -- the train is moving simultaneously northward , eastward , and upward- and the motion as to amount and direction will be completely known if we ...
Page 14
... whole velocity by the cosine of the angle between its direction and that of the component . It is useful to remark that if the axes of x , y , z are not rect- dx dy dz angular , dt dt dt will still be the velocities parallel to the axes ...
... whole velocity by the cosine of the angle between its direction and that of the component . It is useful to remark that if the axes of x , y , z are not rect- dx dy dz angular , dt dt dt will still be the velocities parallel to the axes ...
Page 15
... whole velocity . And , if we consider motion in one plane , this is still true , only we have but two rectangular components . These propositions are virtually equivalent to the following obvious geometrical construction : - : - B To ...
... whole velocity . And , if we consider motion in one plane , this is still true , only we have but two rectangular components . These propositions are virtually equivalent to the following obvious geometrical construction : - : - B To ...
Other editions - View all
Common terms and phrases
acceleration according action actual altered amount angle angular velocity application axes axis becomes body called Cambridge centre circle co-ordinates coefficients complete component condition configuration consider constant corresponding course curvature curve denote described determined differential direction displacement distance edition equal equations equilibrium Example expression finite fixed force function give given harmonic Hence inertia infinitely small instant integral kinetic energy length less mass matter mean measured motion moving natural negative observations parallel particle particular path period perpendicular plane position present principle problem produced proved quantity radius reference relative remain remarkable respectively resultant rigid rolling roots rotation round side simple solution space spherical strain suppose surface tangent theorem tion turn unit University values whole
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.