Elements of Natural Philosophy, Volume 1 |
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... theorems , even among those not ordinarily attacked without the help of the Differential Calculus , have here been found to yield easily to geometrical methods of the most elementary cha- racter . " Simplification of modes of proof is ...
... theorems , even among those not ordinarily attacked without the help of the Differential Calculus , have here been found to yield easily to geometrical methods of the most elementary cha- racter . " Simplification of modes of proof is ...
Page 2
... theorems connected with the geometrical notion of the path described by a moving point ; and these we shall now take up , deferring the consideration of Velocity to a future section , as being more closely connected with physical ideas ...
... theorems connected with the geometrical notion of the path described by a moving point ; and these we shall now take up , deferring the consideration of Velocity to a future section , as being more closely connected with physical ideas ...
Page 13
... the acceleration is directed to a fixed point , and we thus prove the second theorem of § 45 , that in the case supposed the areas described by the radius - vector are proportional to the times KINEMATICS . 13 CHAP I II KINEMATICS.
... the acceleration is directed to a fixed point , and we thus prove the second theorem of § 45 , that in the case supposed the areas described by the radius - vector are proportional to the times KINEMATICS . 13 CHAP I II KINEMATICS.
Page 14
... theorems to which it leads is this : The Hodograph for the motion of a planet or comet is , always a circle , whatever be the form and dimensions of the orbit . The proof will be given immediately . It was shown ( § 35 ) that an arc of ...
... theorems to which it leads is this : The Hodograph for the motion of a planet or comet is , always a circle , whatever be the form and dimensions of the orbit . The proof will be given immediately . It was shown ( § 35 ) that an arc of ...
Page 25
... Theorem , to be presently enunciated . We 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 ...
... Theorem , to be presently enunciated . We 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 ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called 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 particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire