Elements of Natural Philosophy, Volume 1 |
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Page 7
... perpendicular directions N. , E. , and up . 30. 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 . 30. 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 of ...
... ( 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 of ...
Page 12
... 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 13
... perpendicular from the point upon its direction . The moment of the resultant velocity of a par ticle about any ... perpendicular from the fixed point to the tangent to the path or the momentary direction of motion . For the product of ...
... perpendicular from the point upon its direction . The moment of the resultant velocity of a par ticle about any ... perpendicular from the fixed point to the tangent to the path or the momentary direction of motion . For the product of ...
Page 14
... 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 cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite 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 Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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 theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.