Elements of Natural Philosophy, Volume 1 |
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Page 25
... right angles , the figure QP'OP is a parallelogram , and therefore Q is in the position of the displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by at quarter ...
... right angles , the figure QP'OP is a parallelogram , and therefore Q is in the position of the displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by at quarter ...
Page 32
... angle O at the circumference . Also OQ is a diameter of this circle , and is therefore constant . Hence , as is ... right angles . Hence the path of P may be considered as that of a point in a line whose ends move on two mutually ...
... angle O at the circumference . Also OQ is a diameter of this circle , and is therefore constant . Hence , as is ... right angles . Hence the path of P may be considered as that of a point in a line whose ends move on two mutually ...
Page 40
... right angles to each other . In an anticlastic surface there is maximum curvature ( but in opposite directions ) in the two normal sections whose planes bisect the angles between the lines in which the surface cuts its tangent plane ...
... right angles to each other . In an anticlastic surface there is maximum curvature ( but in opposite directions ) in the two normal sections whose planes bisect the angles between the lines in which the surface cuts its tangent plane ...
Page 44
... right angles to one another , which remain at right angles to one another in the altered condition of the body . Along one of these the elongation is greater , and along another less , than along any other direction in the body . Along ...
... right angles to one another , which remain at right angles to one another in the altered condition of the body . Along one of these the elongation is greater , and along another less , than along any other direction in the body . Along ...
Page 50
... right angles to one another . If the point be constrained to remain always on a given surface , one degree of constraint is introduced , or there are left but two degrees of freedom . For we may take the normal to the surface as one of ...
... right angles to one another . If the point be constrained to remain always on a given surface , one degree of constraint is introduced , or there are left but two degrees of freedom . For we may take the normal to the surface as one of ...
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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