Elements of Natural Philosophy |
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Page 10
... parallel to the tangent at P , that is , is per pendicular to OP , i.e. to Aa , and is therefore that of the radius AC . Now P describes the circle PQS , while A describes ABD . Hence the velocity of P is to that of A as OP to CA , i.e. ...
... parallel to the tangent at P , that is , is per pendicular to OP , i.e. to Aa , and is therefore that of the radius AC . Now P describes the circle PQS , while A describes ABD . Hence the velocity of P is to that of A as OP to CA , i.e. ...
Page 11
... parallel to each of two rectangular axes is proportional to its dis tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre ...
... parallel to each of two rectangular axes is proportional to its dis tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre ...
Page 12
... parallel to the direction of acceleration . Hence , if AP be the direction of motion at A , AB the direction of acceleration , and Q the position of the point at time , ; draw QP parallel to BA , meeting AP in P : then C1 J P Hence AP ...
... parallel to the direction of acceleration . Hence , if AP be the direction of motion at A , AB the direction of acceleration , and Q the position of the point at time , ; draw QP parallel to BA , meeting AP in P : then C1 J P Hence AP ...
Page 14
... parallel to the direction , and the velocity in the hodograph is equal to the amount of the acceleration of the moving point . When the hodograph and its origin , and the velocity along it , or the time corresponding to each point of it ...
... parallel to the direction , and the velocity in the hodograph is equal to the amount of the acceleration of the moving point . When the hodograph and its origin , and the velocity along it , or the time corresponding to each point of it ...
Page 15
... parallel to the tangent at P , is the direc tion of acceleration in the orbit ; and is therefore parallel to the radius - vector to the fixed point about which there is equable " description of areas . The velocity parallel to the ...
... parallel to the tangent at P , is the direc tion of acceleration in the orbit ; and is therefore parallel to the radius - vector to the fixed point about which there is equable " description of areas . The velocity parallel to the ...
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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 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