Elements of Natural Philosophy |
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Page 7
... perpendicular directions N. , E. , and up . 80. A velocity in any direction may be resolved in , and perpen dicular to , any other direction . The first component is found by multiplying the velocity by the cosine of the angle between ...
... perpendicular directions N. , E. , and up . 80. A velocity in any direction may be resolved in , and perpen dicular to , any other direction . The first component is found by multiplying the velocity by the cosine of the angle between ...
Page 10
... ( perpendicular therefore to the direction of mo . tion ) , whose magnitude is proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form ...
... ( perpendicular therefore to the direction of mo . tion ) , whose magnitude is proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form ...
Page 13
... perpendicular to the plane con- taining the fixed point and the line of motion of the moving point at any instant ; and there being no velocity perpendicular to this plane at starting , there is therefore none throughout the motion ...
... perpendicular to the plane con- taining the fixed point and the line of motion of the moving point at any instant ; and there being no velocity perpendicular to this plane at starting , there is therefore none throughout the motion ...
Page 14
... perpendicular from the fixed point to the tangent to the path or the momentary direction of motion . For the product of this perpendicular and the velocity at any instant gives double the area described in one second about the ' fixed ...
... perpendicular from the fixed point to the tangent to the path or the momentary direction of motion . For the product of this perpendicular and the velocity at any instant gives double the area described in one second about the ' fixed ...
Page 15
... perpendicular SY from S to the tangent to the orbit . If ABP be an ellipse or hyperbola , the intersection of the perpendicular with the tangent lies in the circle YAZ , whose diameter is the major axis . Produce YS to cut the circle ...
... perpendicular SY from S to the tangent to the orbit . If ABP be an ellipse or hyperbola , the intersection of the perpendicular with the tangent lies in the circle YAZ , whose diameter is the major axis . Produce YS to cut the circle ...
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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