By the Sun, or fixed Stars,
being between the Zenith and the Equinoctial, the Latitude is thus found,
in what part of the world soever you be.

- First, Place the Cross-Staff to your Eye,
in such good sort as that there may grow no error by the disorderly using
thereof, for unless the Center of your Staff, and the Center of your Sight
do join together in your observation, it will be erroneous what you conclude
thereby:
- Your Staff so ordered, then move the Transversary
upon your Staff to and fro as occasion requireth, until at one and the same
instant you may set by the upper edge of your Transversary, half the body
of the Sun, or Stars, or that the lower edge of or end thereof so likewise
touch the Horizon, at that place where it seemeth that the skie and the
Seas are joyned, having special regard in this your observation, as that
you hold the Transversary as directly uprightly as possible you may,
- and you must begin this observation somewhat
before the Sun or Stars be at South, and continue the same so long as you
perceive that they rise, for when they are at the biggest, then are they
upon the Meridian, and then you have the Meridional altitude which you seek,
at which time they will be due South from you if your Compass be be good
and without variation,
- and then doth the Transversary shew upon
the staff the degrees and minutes that the said body is from your Zenith,
if the degrees of your instrument be numbered from the Zenith toward the
Horizon: or else it sheweth the distance between the said body and the Horizon,
if the degrees of your Instument be numbered from the Horizon, concluding
90 in the Zenith, as commonly Cross-Staffs are marked, which is not the
easiest way:
- but if your staff be a accompted from the
Horizon, then subtract the degrees of your observation from 90, and the
remainder shewith the distance between your Zenith and the Sun or Stars,
which is the number you must know: unto that number so known by your instrument,
add the declination of the body by which you do observe, whether it be the
Sun or ante Star, and that which cometh by the addition of those two numbers
together, is the Poles height, or the Latitude of the place where you are:
- as for Example, In the year of our Lord
1621, the third day of March, the Sun being then between my Zenith and the
Eqinoctial, I observed the Suns Meridional altitude from the Horizon to
be 72 degrees and 20 minutes, but because I must know the distance of the
Sun from my Zenith, I therefore subract 72 degrees 20 minutes from 90 degrees,
and there remaineth 17 degrees 40 minutes, the distance of the Sun from
my Zenith, to that distance I add the Suns declination for that day, which
by my Regiment I find to be 43 minutes 2 degrees of South declination, and
it amounteth unto 20 degrees 23 minutes, so much is the South Pole above
the Horizon, and so much is my Zenith South from the Equinoctical, because
the Sun having South declination, and being between me and the Equinoctical,
therefore the necessity the Antarctick Pole must be above my Horizon.
When the Equinoctial
is between your Zenith and the Sun or Stars the Altitude is thus found in
all places.
- By your Instrument, as before is taught,
you must seek the Meridional distance of the Sun or Stars from your Zenith:
which being known, subtract the Declination of the Sun or Stars from the
said distance, & the remaining number is the Poles height, or latitude
which you seek:
- Example.
The 20 of October 1625. I find by my Instrument that the Sun is 60 deg.
45 minutes from my Zenith at Noon, being then upon the Meridian, the Equator
being then between my Zenith and the Sun:
I also find by my Regiment that at that time the Sun had 13 deg. 57 min.
of South Declination, because the Equinoctical is between me and the Sun,
therefore I subtract the Suns declination from the observed distance, and
there resteth 46 deg. 48 min. the latitude desired: and because the Sun
hath the South declination, and the Equinoctical, being between me and the
Sun, therefore I may conclude that the Pole Arctick is 46 deg. 48 min. above
my Horizon so that my Zenith is so much toward the North from the Equator.
When your Zenith is between the Sun or Stars and
the Equinoctial, the Latitude is thus found.
By your Instrument, as in the first example
is shewed, you must observe the Meridional distance, of the Sun or Stars from
your Zenith: you must also by your Regiment or other Tables search to know
the Declination of that body which you observe, then subtract the observed
distance from your Zenith out of the Declination, and the remaining number
is the Latitude desired:
- Example. The Sun having 20 deg. of North
declination, and being upon the Meridian is 5 deg. 9 min. from my Zenith,
I therefore subtract 5 deg. 9 min from 20 deg. and there resteth 14 deg.
51 min. the Latitude desired: and because the Sun hath North Declination,
my Zenith being between the Sun and the Equinoctical, therefore I conclude.
That the North Pole is 14 deg. 51 min. above my Horizon.
How shall I know
the true order of placing the Cross-Staff to mine eye, to avoid error in my
observation ?
- To find the true placing of the Staff at
your Eye, thereby to amend the Parallax, or false shadow of your body do
thus:
- Take a staff having two crosses, a long
Crosse which endeth in 30 degrees, and a short Cross which beginneth at
30 degrees where the long Cross endeth, put the long Cross upon his 30 degrees,
and there make him fast: then put the short cross likewise upon his 30 degrees,
there fasten him without moving:
- then set the end of your staff to your
Eye, moving it from place to place about your Eye, until at one instant
you may see the end of both Crosses, which when you find, remember that
place and the standing of your body, for so must your Staff be placed, and
your Body ordered in all your Observations.

Are these all the
Rules that appertain to the finding of the Poles height ?
- Those that Travel far towards the North,
under whose Horizon the Sun setteth not, shall sometime have occasion to
seek the Latitude by the Sun, when the Sun is North from them, the Pole
being then between the Sun and their Zenith.
- When such observations are made, you must
by your Instrument seek the Suns height from the Horizon, subtract that
height from his Declination, and the remaining number sheweth how far the
Equinoctial is under the Horizon upon the point North for so much is the
opposite part of the Equator above the Horizon upon the point South, subtract
that Meridian Latitude of the Equinoctial from 90, and the remaining number
is the Poles height desired:
- Example.
The Sun having 22 degrees of North declination, his Altitude from the Horizon
is observed to be 3 deg. 15 min. therefore subtracting 3 deg. 15 min. from
22 degrees, there rest 18 deg. 45 min. which is the distance of the Equinoctical
from the Horizon, which being taken from 90, there resteth 71 deg. 15 min.
the Poles elevation desired.
But you must know, that the Declination found
in your Regiment is not the Declination which in this case you must use: for
the Regiment sheweth the Suns Declination upon the Meridian or South point,
in the place for whose Meridian the same was calculated, and not otherwise:
Therefore it is necessary to know the Suns Declination at all times, and upon
every point of the Compass:
- for I have been constrained in my Northwest
Voyages, being within the Frozen Zone, to search the Latitude by the Sun,
at such time as I could see the Sun, upon what point of the Compass soever,
by reason of the Fogs and Mists that those Northern parts are subject unto:
- And there is consideration also to be had
upon every difference of Lontitude for the Suns Declination, as I have by
my experience found at my being in the Straits of Magilane, where I have
found the Suns Declination to differ from my Regiment calculated for London,
by so much as the Sun declineth in 5 hours, for so much is the difference
between the Meridian of London, and the Meridian of Cape Froward, being
in the midst of the said Straits.