The Path-Way to Knowledg, Containing the First Principles of Geometrie — John Shaqi
The Path-Way to Knowledg, Containing the First Principles of GeometrieRecord, Robert
Science
The Path-Way to Knowledg, Containing the First Principles of Geometrie
Record, Robert
Geometry -- Early works to 1800
But and if the line goe crosse the circle, and passe beside the
centre, [Sidenote: A cord, or a stringlyne.] then is it called
_a corde_, or _a stryng line_, as I said before, and as this
exaumple sheweth: where A. is the corde. And the compassed line
that aunswereth to it, [Sidenote: An archline] is called _an
arche lyne_, [Sidenote: A bowline.] or _a bowe lyne_, whiche
here marked with B. and the diameter with C.
[Illustration]
But and if that part be separate from the rest of the circle (as
in this exãple you see) then ar both partes called cãtelles,
[Sidenote: A cantle] the one the _greatter cantle_ as E. and the
other the _lesser cantle_, as D. And if it be parted iuste by
the centre (as you see in F.) [Sidenote: A semyecircle] then is
it called a _semicircle_, or _halfe compasse_.
[Illustration]
Sometimes it happeneth that a cantle is cutte out with two lynes
drawen from the centre to the circumference (as G. is)
[Sidenote: A nooke cantle] and then maie it be called a _nooke
cantle_, and if it be not parted from the reste of the circle
(as you see in H.) [Sidenote: A nooke.] then is it called a
_nooke_ plainely without any addicion. And the compassed lyne in
it is called an _arche lyne_, as the exaumple here doeth shewe.
[Illustration: An arche.]
Nowe haue you heard as touchyng circles, meetely sufficient
instruction, so that it should seme nedeles to speake any more
of figures in that kynde, saue that there doeth yet remaine ij.
formes of an imperfecte circle, for it is lyke a circle that
were brused, and thereby did runne out endelong one waie, whiche
forme Geometricians dooe call an [Sidenote: An egge fourme.]
_egge forme_, because it doeth represent the figure and shape of
an egge duely proportioned (as this figure sheweth) hauyng the
one ende greate then the other.
[Illustration: An egge forme]
[Illustration: A tunne forme.]
[Sidenote: A tunne or barrel form] For if it be lyke the figure
of a circle pressed in length, and bothe endes lyke bygge, then
is it called a _tunne forme_, or _barrell forme_, the right
makyng of whiche figures, I wyll declare hereafter in the thirde
booke.
An other forme there is, whiche you maie call a nutte forme, and
is made of one lyne muche lyke an egge forme, saue that it hath
a sharpe angle.
And it chaunceth sometyme that there is a right line drawen
crosse these figures, [Sidenote: An axtre or axe lyne.] and that
is called an _axelyne_, or _axtre_. Howe be it properly that
line that is called an _axtre_, whiche gooeth throughe the
myddell of a Globe, for as a diameter is in a circle, so is an
axe lyne or axtre in a Globe, that lyne that goeth from side to
syde, and passeth by the middell of it. And the two poyntes that
suche a lyne maketh in the vtter bounde or platte of the globe,
are named _polis_, w^{ch} you may call aptly in englysh, _tourne
pointes_: of whiche I do more largely intreate, in the booke
that I haue written of the vse of the globe.
[Illustration]
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