Elements of Natural Philosophy, Part 1 |
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Page 44
... diagram . 133. To construct a complete developable surface in two sheets from its edge of regression- GO Lay one piece of perfectly flat , un- wrinkled , smooth - cut paper on the top of another . Trace any curve on the other , and let ...
... diagram . 133. To construct a complete developable surface in two sheets from its edge of regression- GO Lay one piece of perfectly flat , un- wrinkled , smooth - cut paper on the top of another . Trace any curve on the other , and let ...
Page 46
... diagram , cuts the ellipsoid in an ellipse of which one principal axis is the diameter in which it cuts the ellipse of the diagram , and the other , the mean principal diameter of the ellipsoid . Hence a plane through either SS ' or TT ...
... diagram , cuts the ellipsoid in an ellipse of which one principal axis is the diameter in which it cuts the ellipse of the diagram , and the other , the mean principal diameter of the ellipsoid . Hence a plane through either SS ' or TT ...
Page 47
... diagram . All lines initially perpendicular to the plane of the diagram remain so , and remain unaltered in length . AC has just been proved to remain unaltered in length . Hence ( § 139 ) all lines in the plane we have just drawn ...
... diagram . All lines initially perpendicular to the plane of the diagram remain so , and remain unaltered in length . AC has just been proved to remain unaltered in length . Hence ( § 139 ) all lines in the plane we have just drawn ...
Page 48
... diagram still in the same plane . A ' , C , will take a position in CA ' produced , as shown in the new diagram , and the original and the altered parallelogram will be on the same base AC ' , and A between the same parallels AC ' and ...
... diagram still in the same plane . A ' , C , will take a position in CA ' produced , as shown in the new diagram , and the original and the altered parallelogram will be on the same base AC ' , and A between the same parallels AC ' and ...
Page 49
... diagram , let AB be a line in which it is cut by one of either set of parallel planes of no distortion . On any portion AB of this as diameter , describe a semicircle . Through C , its middle point , draw , by the preceding construction ...
... diagram , let AB be a line in which it is cut by one of either set of parallel planes of no distortion . On any portion AB of this as diameter , describe a semicircle . Through C , its middle point , draw , by the preceding construction ...
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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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