## Elements of Natural Philosophy |

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Results 6-10 of 63

Page 31

It is not necessary to

preceding statements apply to any one of a set of parallel planes in a rigid body ,

moving in any way subject to the condition that the points of any one plane in it ...

It is not necessary to

**suppose**the figure to be a mere flat disc or plane - for thepreceding statements apply to any one of a set of parallel planes in a rigid body ,

moving in any way subject to the condition that the points of any one plane in it ...

Page 32

Again ,

about A , and by a link BD turning CD in the same plane about C . Deter . mine

the relation between the angular velocities of AB and CD in any position .

Evidently ...

Again ,

**suppose**ABDC to be a jointed frame , AB having a reciprocating motionabout A , and by a link BD turning CD in the same plane about C . Deter . mine

the relation between the angular velocities of AB and CD in any position .

Evidently ...

Page 39

... commence with the sliding of one straight - edged board on another . Thus let

CDEF be a plane board whose edge , DE , slides on the edge , AB , of another

board , ABC of which for convenience we

horizontal .

... commence with the sliding of one straight - edged board on another . Thus let

CDEF be a plane board whose edge , DE , slides on the edge , AB , of another

board , ABC of which for convenience we

**suppose**the edge , AC , to behorizontal .

Page 40

... plane perpendicular to ON , and radius NP , which , as this radius revolves with

angular velocity w , is w . NP . Hence Q . QP = w . NP , or w : 0 : : QP : NP . 118 .

...

... plane perpendicular to ON , and radius NP , which , as this radius revolves with

angular velocity w , is w . NP . Hence Q . QP = w . NP , or w : 0 : : QP : NP . 118 .

**Suppose**a rigid body bounded by any curved surface to be touched at any point...

Page 47

First let us

elongation nor contraction along the mean principal axis . Let OX and OZ be the

directions of maximum elongation and maximum contraction respectively .

First let us

**suppose**there to be no alteration of volume on the whole , and neitherelongation nor contraction along the mean principal axis . Let OX and OZ be the

directions of maximum elongation and maximum contraction respectively .

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### Common terms and phrases

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 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 period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire