Elements of Natural Philosophy, Part 1 |
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Page 4
The mathematical condition to be expressed in any case of it is simply that the
distance measured along the line from any one point to any other , remains
constant , however the line be bent . 17. The use of a cord in mechanism
presents us ...
The mathematical condition to be expressed in any case of it is simply that the
distance measured along the line from any one point to any other , remains
constant , however the line be bent . 17. The use of a cord in mechanism
presents us ...
Page 9
In Newton's notation v is used to express the acceleration in the direction of
motion ; and , if v = s as in § 28 , we have a = v = j . 34. But there is another form
in which acceleration may manifest itself . Even if a point's velocity remain
unchanged ...
In Newton's notation v is used to express the acceleration in the direction of
motion ; and , if v = s as in § 28 , we have a = v = j . 34. But there is another form
in which acceleration may manifest itself . Even if a point's velocity remain
unchanged ...
Page 12
For the velocity ( V ) in the original direction of motion remains unchanged ; and
therefore , in time t , a space Vt is described parallel to this line . But in the same
interval , by the above reasoning , we see that a space fata is described parallel
to ...
For the velocity ( V ) in the original direction of motion remains unchanged ; and
therefore , in time t , a space Vt is described parallel to this line . But in the same
interval , by the above reasoning , we see that a space fata is described parallel
to ...
Page 16
... one , as the rate of increase of the angle contained by them ; but unless their
line of intersection remain fixed , or at all events parallel to itself , a somewhat
more laboured statement is required to give a complete specification of the
motion .
... one , as the rate of increase of the angle contained by them ; but unless their
line of intersection remain fixed , or at all events parallel to itself , a somewhat
more laboured statement is required to give a complete specification of the
motion .
Page 18
one . to one of their number , imagine , impressed upon each in composition with
its own motion , a motion equal and opposite to the motion of that one , which will
thus be reduced to rest , while the motions of the others will remain the same ...
one . to one of their number , imagine , impressed upon each in composition with
its own motion , a motion equal and opposite to the motion of that one , which will
thus be reduced to rest , while the motions of the others will remain the same ...
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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 experience 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 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