Elements of Natural Philosophy, Part 1 |
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Page 7
Thus the set of values Space described in one second , Ten times the space
described in the first tenth of a second , A hundred hundredth and so on , give
nearer and nearer approximations to the velocity at the beginning of the first
second .
Thus the set of values Space described in one second , Ten times the space
described in the first tenth of a second , A hundred hundredth and so on , give
nearer and nearer approximations to the velocity at the beginning of the first
second .
Page 14
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
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
... to be found by imagining impressed on both a southward velocity of fifty miles
an hour ; the effect of this being to bring the first to rest , and to give the second a
southward velocity of eighty miles an hour , which is the required relative motion .
... to be found by imagining impressed on both a southward velocity of fifty miles
an hour ; the effect of this being to bring the first to rest , and to give the second a
southward velocity of eighty miles an hour , which is the required relative motion .
Page 21
Any two simple harmonic motions in one line , and of one period , give , when
compounded , a single simple harmonic motion ; of the same period ; of
amplitude equal S R to the diagonal of a parallelogram deA scribed on lengths
equal to ...
Any two simple harmonic motions in one line , and of one period , give , when
compounded , a single simple harmonic motion ; of the same period ; of
amplitude equal S R to the diagonal of a parallelogram deA scribed on lengths
equal to ...
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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