2 The second is by measuring the semidiameter of the Earth: For
as the circumference makes knowne the diameter, so doth this the
circumference. This may be done by observation made vpon some
great hill, hard by the sea side. The invention is of _Maurolycus
Abbot_ of _Messava_ in _Sicilie_, but it hath beene perfitted,
and more exactly performed by a worthy Mathematician _Ed. W._ who
himselfe made proofe of it. By this art was the semidiameter of
the Earth found out to be 18312621 foote: which allowing 5000
foot to a mile is 3662 & a halfe miles, which doubled is the
whole Diameter 7325 miles. The circuit of the earth shall be
23030 miles, and one degree containes 63-35/36 miles which is
almost 64 miles. Which as it exceeds the ordinary account, so may
wee rest vpon it as more exact then any other.
2 The second point concerninge the measuringe of particular
distances of places one from another is thus performed.
First vpon the Globe it is most easie. With a payre of Compasses
take the distance betweene any two places howsoever scituated
vpon the Globe, and apply the distance so taken to the AEquator, &
see how many degrees it takes vp; those degrees turned into miles
shew the distance of the two citties on from another.
Vpon vniuersall mapps theire is a little more difficulty in
finding the distance of places which here must bee considered in
a threefold difference of scituation:
1 Of Latitude only.
2 Of Longitude only.
3 Of Latitude and Longitude together.
1 If the two places differ only in Latitude, and lie vnder the
same Meridian if the places lie both on one side of the AEquator,
the differences of the latitudes: or the summe of both latitudes
added together, if one place lie North and another South, being
turned into Miles giues the true distance.
2 If the places differ only in Longitude, and lie both vnder one
paralell of latitude the difference of longitude turned into
miles proportionably accordinge to the latitude of the paralell,
giues the true distance.
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