Elements of Natural Philosophy, Volume 1 |
From inside the book
Page 23
... gives the harmonic curve , or curve of sines , in which the ordinates are 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 ...
... gives the harmonic curve , or curve of sines , in which the ordinates are 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 ...
Page 24
... give below a graphic representation of the composition of two simple harmonic motions in one line , of equal amplitudes and of periods which are as 1 : 2 and as 2 : 3 , the epochs being each a quarter circumference . The horizontal line ...
... give below a graphic representation of the composition of two simple harmonic motions in one line , of equal amplitudes and of periods which are as 1 : 2 and as 2 : 3 , the epochs being each a quarter circumference . The horizontal line ...
Page 25
... give a simple harmonic motion of P ' , in B'A ' , a quarter of a period behind that of the motion of P in BA . But , since A'OA , QPO , and QP'O are right angles , the figure QP'OP is a parallelogram , and therefore Q is in the position ...
... give a simple harmonic motion of P ' , in B'A ' , a quarter of a period behind that of the motion of P in BA . But , since A'OA , QPO , and QP'O are right angles , the figure QP'OP is a parallelogram , and therefore Q is in the position ...
Page 28
... give but a feeble idea of its importance . Unfortunately it is impossible to give a satisfactory proof of it without introducing some rather trouble- some analysis , which is foreign to the purpose of so elementary a treatise as the ...
... give but a feeble idea of its importance . Unfortunately it is impossible to give a satisfactory proof of it without introducing some rather trouble- some analysis , which is foreign to the purpose of so elementary a treatise as the ...
Page 29
... give only an example or two . Thus we know that if a line of given length AB move with its extremities always in two fixed lines OA , OB , any point in it as P describes an ellipse . ( This is proved in § 101 below . ) It is required to ...
... give only an example or two . Thus we know that if a line of given length AB move with its extremities always in two fixed lines OA , OB , any point in it as P describes an ellipse . ( This is proved in § 101 below . ) It is required to ...
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 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