Elements of Natural Philosophy, Volume 1 |
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Page 21
... to B'A produced . We have obviously P'R = CP ( being projections of the equal
and parallel lines OS , CQ , on CR ) . Hence CŘ = CP + CP ; and therefore the
point R executes the V C resultant of the motions P and P. But CS , KINEMATICS
.
... to B'A produced . We have obviously P'R = CP ( being projections of the equal
and parallel lines OS , CQ , on CR ) . Hence CŘ = CP + CP ; and therefore the
point R executes the V C resultant of the motions P and P. But CS , KINEMATICS
.
Page 25
But the plane and position of the circle of which this projection is taken may
clearly be found so as to fulfil the condition of having the projections of the ranges
coincident with any two given mutually bisecting lines . Hence any two given
simple ...
But the plane and position of the circle of which this projection is taken may
clearly be found so as to fulfil the condition of having the projections of the ranges
coincident with any two given mutually bisecting lines . Hence any two given
simple ...
Page 39
... section of a surface is equal to that of the normal section through the same
tangent line multiplied by the secant of the inclination of the planes of the
sections . This is evident from the most elementary considerations regarding
projections .
... section of a surface is equal to that of the normal section through the same
tangent line multiplied by the secant of the inclination of the planes of the
sections . This is evident from the most elementary considerations regarding
projections .
Page 43
Every orthogonal projection of an ellipse is an ellipse ( the case of a circle being
included ) . Hence , and from § 139 , we see that an ellipse remains an ellipse ;
and an ellipsoid remains a surface of which every plane section is an ellipse ;
that ...
Every orthogonal projection of an ellipse is an ellipse ( the case of a circle being
included ) . Hence , and from § 139 , we see that an ellipse remains an ellipse ;
and an ellipsoid remains a surface of which every plane section is an ellipse ;
that ...
Page 61
It is clear that the moment of a force round any axis , is equal to the area of the
projection on any plane perpendicular to the axis , of the figure representing its
moment round any point of the axis . 200. [ The projection of an area , plane or ...
It is clear that the moment of a force round any axis , is equal to the area of the
projection on any plane perpendicular to the axis , of the figure representing its
moment round any point of the axis . 200. [ The projection of an area , plane or ...
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acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain remarkable respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire