Elements of Natural Philosophy, Volume 1 |
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Page 30
... angle of rotation . 93. The lines equidistant from A and A ' , and from B and B ' , are parallel if AB is parallel to A'B ' ; and therefore the construction fails , the point O being infinitely distant , and 30 PRELIMINARY .
... angle of rotation . 93. The lines equidistant from A and A ' , and from B and B ' , are parallel if AB is parallel to A'B ' ; and therefore the construction fails , the point O being infinitely distant , and 30 PRELIMINARY .
Page 31
William Thomson Baron Kelvin, Peter Guthrie Tait. fails , the point O being infinitely distant , and the theorem becomes nugatory . In this case the motion is in fact a simple translation of the figure in its own plane without rota- tion ...
William Thomson Baron Kelvin, Peter Guthrie Tait. fails , the point O being infinitely distant , and the theorem becomes nugatory . In this case the motion is in fact a simple translation of the figure in its own plane without rota- tion ...
Page 36
... infinitely short interval of time 7 , the amounts of these displacements will be wẞ . 7 and – włα . T. The point I , and therefore every point in the line OI , will be at rest during the interval the sum of these displacements is zero ...
... infinitely short interval of time 7 , the amounts of these displacements will be wẞ . 7 and – włα . T. The point I , and therefore every point in the line OI , will be at rest during the interval the sum of these displacements is zero ...
Page 43
... infinitely small , but such that their sum may be finite , we have our plane surface bent into a curved surface , which is of course ' developable ' ( § 125 ) . 129. Lift a square of paper , free from folds , creases , or ragged edges ...
... infinitely small , but such that their sum may be finite , we have our plane surface bent into a curved surface , which is of course ' developable ' ( § 125 ) . 129. Lift a square of paper , free from folds , creases , or ragged edges ...
Page 51
... infinitely small portion bears to the volume of this portion at the same instant . 164. To find the differential equation of continuity , imagine a space fixed in the interior of a fluid , and consider the fluid which flows into this ...
... infinitely small portion bears to the volume of this portion at the same instant . 164. To find the differential equation of continuity , imagine a space fixed in the interior of a fluid , and consider the fluid which flows into this ...
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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 co-ordinates component configuration consider constant corresponding cosine couple curvature curve Demy 8vo denote density described diagram direction of motion displacement distance Edited 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 parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square St John's College straight line strain suppose tangent tion torsion uniform unit University of Cambridge vertical whole wire
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