A new discovery for finding the longitudeHobbs, William
History
A new discovery for finding the longitude
Hobbs, William
Longitude -- Early works to 1800
When it is finished, let it go for a Month or two; after which put the
two _Indexes_ right one with the other, and both of them pointing just to
100. Then the Spring being wound up, keep it from Going (with the Key)
till the Shadow of the Sun is exactly come to a _Meridian_ Line, which
must be rightly prepared for that purpose. Then let it go till the Shadow
comes just to the same Line the next Day, or rather 40, 50, or 100 Days
after, (the longer the Better.) At which time enter down the _Centesms_
that the swiftest _Index_ points to, as also the _Integers_ and _Tenths_
of the slowest, (but put the last first in your Numbers) by this you will
be furnished with two general Numbers, _viz._ the said Numbers pointed
to, and the Time (in Hours) spent therein, to find the Hour of the Day to
the Tenth of a Minute, at any time; for that Place where it was so set
going, tho’ you remove it afterwards to any Distance whatsoever. Which
two Numbers ought to be entered in a Book; to be used whensoever you
would find the Hour of the Day.
And it is to be noted, That if the Sun be not then in its Mean Motion,
you must Add to, or Substract from what the _Indexes_ do Give, according
to the Inequality thereof: But if you try it for one whole Year, there
will be no need of either. And that what is said may be the better
understood, I shall give an Example.
_How to find the Hour and Minute of the Day at ~London~, by the said
Movement._
Suppose it should be made for the Slowest to Revolve in about five
Days, and after it has gone just two Days, the Slowest _Index_ should
then point between 39 and 40, and the Swiftest to 21.5. Then both these
Numbers (as set in Order) will make 3921.5. And if the Sun be in its
Mean Motion (if not, you must Add or Substract, as aforesaid) then the
said Numbers 3921.5 must always be the First; the said two Days, or 48
Hours, the Second; and the two Numbers pointed to by the _Indexes_, at
the time for which you would find the Hour and Minute of the Day (as
suppose the slow one should point to 87, and the swift one to 65.2, both
making 8765.2) must be the Third; by which the Fourth will be obtained as
followeth: Which Fourth Number being Divided by 12, the Remainder will
be the Hour and Minute of the Day at _London_, as was required.
Hours Hours.
As 3921.5 : 48 :: 8765.2 : 107.18
ho. min. }
Remains 11 : 10.8 hours. } Requir’d
or 11¹⁸⁄₁₀₀ }
And so for any quantity of time less than one Revolution.
Public-domain text, read in full here on John Shaqi.
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