Elements of Natural Philosophy |
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Page 48
... respectively . They may be found from the preceding construction ( § 150 ) , thus : -In the plane of the shear bisect the obtuse and acute angles between the planes destined not to become deformed . The former bisecting line is the ...
... respectively . They may be found from the preceding construction ( § 150 ) , thus : -In the plane of the shear bisect the obtuse and acute angles between the planes destined not to become deformed . The former bisecting line is the ...
Page 52
... respectively to any three directions , and independent of each other . It is generally convenient to choose these three directions of resolution at right angles to one another . If the point be constrained to remain always on a given ...
... respectively to any three directions , and independent of each other . It is generally convenient to choose these three directions of resolution at right angles to one another . If the point be constrained to remain always on a given ...
Page 62
... magnitude ) may be represented , as velocities are , by straight lines in their directions , and of lengths proportional to their magnitudes , respectively . Also the laws of composition and resolution of any number 62 PRELIMINARY .
... magnitude ) may be represented , as velocities are , by straight lines in their directions , and of lengths proportional to their magnitudes , respectively . Also the laws of composition and resolution of any number 62 PRELIMINARY .
Page 69
... respectively the second and third , and to ignore the third entirely , though using it directly in every dynamical problem ; but all who have done so have been forced indirectly to acknowledge the incompleteness of their substitute for ...
... respectively the second and third , and to ignore the third entirely , though using it directly in every dynamical problem ; but all who have done so have been forced indirectly to acknowledge the incompleteness of their substitute for ...
Page 73
... respectively . In the case of uniform motion , the first of these vanishes , or the whole force is perpendicular to the direction of motion . When there is no force perpendicular to the direction of motion , there is no curvature , or ...
... respectively . In the case of uniform motion , the first of these vanishes , or the whole force is perpendicular to the direction of motion . When there is no force perpendicular to the direction of motion , there is no curvature , or ...
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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