As the lines A C and K D, C B and K E, always continue of the
same length in any position of the machine, the pieces A D
and B E will always continue parallel to one another, and
perpendicular to the horizon. However, the whole machine turns
upon the points C and K, as appears by bringing the balance to
any other position, as _a b e d_; and therefore, as the weights
applied to any part of the pieces F G and H I can only bring
down the pieces A D and B E perpendicularly, in the same manner
as if they were applied to the hooks D and E, or to X and Y, the
centers of gravity of A D and B E, the force of the weights (if
their quantity of matter is equal) will be equal, because their
velocities will be their perpendicular ascent or descent, which
will always be as the equal lines 4 _l_ and 4 L, whatever part
of the pieces F G and H I the weights are applied to. But if to
the weight at V be added the little weight _u_, those two weights
will overpower, because in this case the momentum is made up of
the sum of V and _u_ multiplied by the common velocity 4 L.
Hence follows, that it is not the distance C 6 multiplied into
the weight V which makes its momentum, but its perpendicular
velocity L 4 multiplied into its mass. Q. E. D.
This is still further evident by taking out the pin at K; for
then the weight P will overbalance the other weight at V, because
then their perpendicular ascent and descent will not be equal.
The Rev. Dr. Desagulier was evidently a man of scientific turn and
capacity. It is unusual to find ministers deeply interested in
scientific matters, and yet, he seems to have been. The net result of
his experiments can be succinctly stated as follows:
In the first problem there is _no change in the distance of the center
of gravity from the support_, and, therefore, there could be no
disturbance of the equilibrium.
In the second problem there _is a change in the distance in the center
of gravity from the support_, and there must have been a disturbance of
the equilibrium.
John Haywood's Device
In 1790, John Haywood, of Long Acre, Middlesex, draftsman and mechanic,
obtained British patent on:
"A machine for working mills and engines without the aid of fire,
water, or wind, or in aid of all or any of those or any other
powers."
The specification describes the device as follows:
[Illustration]
"The machine acts on a rotative principle, or, in other words,
has a revolving circular or circulating motion round an axis,
center, or centers. It may be made or constructed of any
materials or matter whatsoever, so it be of sufficient strength
to sustain the power of action when applied to any mill, engine,
or machine to which action or motion can or may be communicated
by a wheel. The size or dimensions of this machine are by no
means confined, but may be varied or altered as circumstances may
require.
Public-domain text, read in full here on John Shaqi.
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