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Mathematical instruments (continued) Book III, Chapter 9, Section 5b
Mariners card
LVIII. He beareth a Mariners Card, or
Compass; signed with the names of the four
principal Winds, viz. North, East, South and West.
The Compass contains four principal points, East,
West, North and South, one opposite to another, and
these are again subdivided into as many more parts,
which makes 8 points, and they are North East, South
West, North West and South East; each of which
points are again subdivided into 3 parts, which 8 times
3 being added to the former 8 makes 32 points, the
whole number of the Compass, the names of each see
in the next.
Mariners compass
Image from proof plate
LIX. He beareth on a Table with a Frame
a Mariners Compass with all its points.
Some Blazon it in short a Mariners Compass, or a Chart of all the points of the Wind;
which points are by Navigators and Sea men said to be
32 in number, which they name thus, beginning in
the North and so turning round by the East.
Related text(s)
Compass points
Perambulator
LX. He beareth a Perambulator, with
its Needle and Wheel. This is an Instrument
used by Geometritians, by which they measure the distances between place and place; for the Man as runs
the Wheel before him hath this observation; that the
Wheel hath such a Compass, and at every hundred
turns of it, is such a distance, at which time the Finger of the Compass Board, shews by its pointing at the
Figures on it, how many times it turns.
Circumferentor
LXI. He beareth a Circumferentor.
This is an Instrument that is constantly used with the Perambulator, and is carried in the
hand of him that is the Geometritian or Cosmographer, to note upon it the several turnings and distances
of places as the Wheel of the Perambulator gives an
account of. This I suppose is so called, because it is fit
and easie to be carried about with one.
[The second image is so named on the drawing although it has a different form.]
Mirror
LXII. He beareth a Mirror or Looking
Glass, [with] the Frame and Handle. This
thing hath several denominations according to the use
it is put unto; as for example if it be looked upon, as
to see the Face in, it is blazoned a Mirror, a Seeing
Glass, or Looking Glass, in Latin Speculum, and
so it is termed when held by a Maremaid, as lib.2.
chap.16. 2. and chap.7. numb.98. when looked upon by a Tyger.
Related text(s)
Magnifying glass
Burning glass
Seeing glasses types
Multiplying Glass
LXIII. He beareth a Multiplying Glass.
This is a Glass cut or ground into so many
squares as it will contain, which Glass being fixed in a
Box of Tin, or Wood, or the like, being narrow at
one end, and broad at the other; if you put your Eye
to the narrow end, and look through the Glass at any
thing; that you look at, will appear to your sight, as
many more as there is squares in the said Glass.
Mathematical square
LXIV. He beareth a Mathematical Square,
[with] the Sights, Line and Plummet.
This is called Mathematical, because of its Sights, Line
and Plummet, otherwise it is no other than a Carpenters Square; by the help of these things added to it,
and for want of other Instruments, a shift is often made
to take the height of places with the distance, breadth
and depth of them.
Pair of pointed compasses
Image from published plate
In the Sinister side is a pair of pointed Compasses,
with a sliding semi-circle; these though they be termed pointed, yet they are contrary to them mentioned
numb.10. those having a Spring Head, and this a revitted Head, besides the Shanks are rebated, having
points set in them.
Mathematical rule
Image from proof plate
LXV. He beareth a Mathematical Rule.
This is no other but a Joyners Rule, or two Foot,
brought into a Mathematical order, and by the help of
the Sights, a Line and Plummet, having a Quadrant
drawn on the side of the Rule, it is made a Geometrical Instrument; by means whereof it is used to take
heights, breadth, and distances of places, as before is
said of the square.
A Gunners Scale, one side being divided into
inches, quarters, and half quarters, with a Gunners
Quadrant described upon it; the other side having the
names of all sorts of Ordnance, Length, Diameter,
and Weight of Ball and Pouder to charge each Peece.
It is made of Box or Brass and not above 8 Inches
long. [See Ch. 18 no. 55.]
Prospective Glass
The second thing in this square, is called a Prospective Glass, but more properly a Prospective extended, or drawn out at length.
This is a thing in
the outward shape like to a Cylinder, running
one degree into another, for 3, 4, or 5 lengths; at the
utmost ends (being drawn out) are two Glasses fixed,
through which if one look at a thing for a Mile or two
distant from us, we may discern the same as perfect as
if it were at the end of the Glass.
There are Prospectives that are used by Marriners,
and are of such a length, that they will discover any
thing at 7, 8, or 9 mile distance, having three Glasses,
one at each end, and one in the middle, when drawn
at length. These Prospective Glasses have two contrary properties, and according to the ends looked
through; one end contracts a great distance into a little space, making the object appear at the end of the
Glass; the other end looked through at a thing near
at hand, maketh the same appear both small, and at
a great distance, yet seen perfect in all its proportions.
Concave pair of callipers
LXVI. He beareth a Concave pair of
Callipers. These are Compasses having the
points bending outwards, as the Callipers bend inward, the use of these are to take the Diameter, or
distance of places in any Concave, or hollowed body,
having a sliding Compass, by which the thing required
is made manifest, as the Figures on the semi-circle doth
note. Some of them have no sliding Circle at all, but
are made plain.
Pair of double pointed compasses
LXVII. He beareth a pair of double pointed Compasses. These I have seen drawn amongst
other Mathematical Instruments and Geometrical Tables, but for what use they are I am yet to be Taught,
neither have I ever found such to be born in Honors Armory.
Houses of Heaven
LXVIII. He beareth a Scheme, or Figure of
the Houses of Heaven. The Houses are in
number 12, which are 12 equal parts; but in an Oblique Sphere they are unequal parts, and that more or
less according to the quantity of the Obliquity.
By these Astrologers, Calculate Nativities, foretell
Future Events, and do many wondrous things through
that Art, and by the course of the Stars, which are
said to work strangely on the Bodyes of Men and Women.
Untranscribed item(s)
Houses of Heaven names (The names of all the Houses in a Scheme)
Astrological figure
LXIX. This is another manner of drawing a
Scheme, or an Astrological Figure, by which results are given concerning Questions proposed; but of
this I have spoken before; it being no business of mine
to talk of such Mysteries, which of all other Arts I
have least minded to read: But if any desire a further
reason for this division of the Heavens, and why such
a signification is ascribed to each House, he may apply
himself to these Authors or the like.
Morine in Astrologia Gallia.
Coley his Key to Astrology New Filed.
Moxon his Tutor to Astronomy and Geography.
Eland his Tutor to Astrology, or Astrology made easie.
Geometrical terms for lines
Image from proof plate
[Section] 6 [Moved to section 5]
The definitions of the Principles of Geometrical
Lines are here next described, and these
teach the Drawing, Measuring and Proportion of Figures, with all their terms and denominations; for
there is no Figure but it hath its certain bounds and
inclosures of Lines; and every Line is begun or ends at
some certain Prick; therefore it is needful to know these
smaller parts of a Figure, that thereby the whole Figure may be better judged and distinctly named asunder.
...
Those who desire a farther in sight into these Geometrical Lines and Figures, may peruse these Books.
The Institutions of P. Peter Galtruchius of the Mathematicks. Printed 1683.
The Conclusions and Theoremes of Geometry, 1. and 2. Parts.
Leonard Diggs his Art of Measuring.
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