Elements of Natural Philosophy, Part 1 |
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Page 3
... or the angle between the first and last sides , is then the sum of its exterior angles , all the sides being produced each in the direction in which the moving point describes it while passing round the figure . I - 2 KINEMATICS . 3.
... or the angle between the first and last sides , is then the sum of its exterior angles , all the sides being produced each in the direction in which the moving point describes it while passing round the figure . I - 2 KINEMATICS . 3.
Page 4
... figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i.e. it is eight right angles . 16. A chain , cord , or fine wire , or a fine fibre , filament , or hair , may suggest , what is not to be found ...
... figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i.e. it is eight right angles . 16. A chain , cord , or fine wire , or a fine fibre , filament , or hair , may suggest , what is not to be found ...
Page 8
... figure ; where A and direction . B OA , for instance , represents in magni- tude and direction the space which would be described in one second by a point moving with the first of the given velocities - and similarly OB for the second ...
... figure ; where A and direction . B OA , for instance , represents in magni- tude and direction the space which would be described in one second by a point moving with the first of the given velocities - and similarly OB for the second ...
Page 13
... figure OABD . But ABD , a part of this figure , is equal to half the area of the parallelo- gram ; and therefore the remainder , OAD , is equal to the sum of the two half - mo- ments . But OAD is half the moment of the resultant ...
... figure OABD . But ABD , a part of this figure , is equal to half the area of the parallelo- gram ; and therefore the remainder , OAD , is equal to the sum of the two half - mo- ments . But OAD is half the moment of the resultant ...
Page 15
... figure shows ] if the orbit be an ellipse , passes through it when the orbit is a parabola , and the origin is without the hodograph if the orbit is a hyperbola . 52. A reversal of the demonstration of § 51 shows that , if the ...
... figure shows ] if the orbit be an ellipse , passes through it when the orbit is a parabola , and the origin is without the hodograph if the orbit is a hyperbola . 52. A reversal of the demonstration of § 51 shows that , if the ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic applied attraction axes axis called Cambridge centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant corresponding cosine couple curvature curve cylinder Demy 8vo denote density described diagram displacement distance edition elastic ellipse ellipsoid elongation equal equations equilibrium external point fixed point fluid forces acting friction geometrical given force Hence hodograph inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal P₁ P₂ parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square straight line strain suppose tangent torsion uniform unit University of Cambridge vertical whole wire
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