Elements of Natural Philosophy |
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Page 13
... 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 15
... perpendicular to the direction of motion PY , and thus the circular locus of Z is the hodograph turned through a right angle about S in the plane of the orbit . If APB be a parabola , AY is a straight line . But if another point U be ...
... perpendicular to the direction of motion PY , and thus the circular locus of Z is the hodograph turned through a right angle about S in the plane of the orbit . If APB be a parabola , AY is a straight line . But if another point U be ...
Page 16
... perpendicular to a fixed line : and therefore the radius - vector of any point is proportional to the distance of ... plane is parallel to the plane of the ecliptic . 54. When a point moves in any manner , the line joining it with a ...
... perpendicular to a fixed line : and therefore the radius - vector of any point is proportional to the distance of ... plane is parallel to the plane of the ecliptic . 54. When a point moves in any manner , the line joining it with a ...
Page 26
... perpendicular lines , of phases differing by a quarter period , are ... plane , we get motion in an ellipse , of which the projections of the two ... plane and position of the circle of which this profection is taken may clearly 26 ...
... perpendicular lines , of phases differing by a quarter period , are ... plane , we get motion in an ellipse , of which the projections of the two ... plane and position of the circle of which this profection is taken may clearly 26 ...
Page 27
... plane or not , the line of motion returns into itself if the periods are ... plane . Mechanical methods of obtaining such combinations will be after- wards ... perpendicular directions . Also , it is easy to see that we can only have a ...
... plane or not , the line of motion returns into itself if the periods are ... plane . Mechanical methods of obtaining such combinations will be after- wards ... perpendicular directions . Also , it is easy to see that we can only have a ...
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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