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
And _the boundes_ of euerie platte forme are lines: as by the
examples you maie perceiue.
Of platte formes some be plain, and some be croked, and some
parly plaine, and partlie croked.
[Sidenote: A plaine platte.] _A plaine platte_ is that, whiche
is made al equall in height, so that the middle partes nother
bulke vp, nother shrink down more then the bothe endes.
[Sidenote: A crooked platte.] For whan the one parte is higher
then the other, then is it named a _Croked platte_.
And if it be partlie plaine, and partlie crooked, then is it
called a _Myxte platte_, of all whiche, these are exaumples.
[Illustration: A plaine platte.]
[Illustration: A croked platte.]
[Illustration: A myxte platte.]
And as of many prickes is made a line, and of diuerse lines one
platte forme, [Sidenote: A bodie.] so of manie plattes is made
_a bodie_, whiche conteigneth _Lengthe, bredth, and depenesse_.
[Sidenote: Depenesse.] By _Depenesse_ I vnderstand, not as the
common sort doth, the holownesse of any thing, as of a well,
a diche, a potte, and suche like, but I meane the massie
thicknesse of any bodie, as in exaumple of a potte: the
depenesse is after the common name, the space from his brimme to
his bottome. But as I take it here, the depenesse of his bodie
is his thicknesse in the sides, whiche is an other thyng cleane
different from the depenesse of his holownes, that the common
people meaneth.
Now all bodies haue platte formes for their boundes, [Sidenote:
Cubike.] so in a dye (whiche is called _a cubike bodie_) by
geomatricians, [Sidenote: Asheler.] and an _ashler_ of masons,
there are .vi. sides, whiche are .vi. platte formes, and are the
boundes of the dye.
[Sidenote: A globe.] But in a _Globe_, (whiche is a bodie rounde
as a bowle) there is but one platte forme, and one bounde, and
these are the exaumples of them bothe.
[Illustration: A dye or ashler.]
[Illustration: A globe.]
But because you shall not muse what I dooe call _a bound_,
[Sidenote: A bounde.] I mean therby a generall name, betokening
the beginning, end and side, of any forme.
[Sidenote: Forme, Fygure.] _A forme, figure, or shape_, is that
thyng that is inclosed within one bond or manie bondes, so that
you vnderstand that shape, that the eye doth discerne, and not
the substance of the bodie.
Of _figures_ there be manie sortes, for either thei be made of
prickes, lines, or platte formes. Not withstandyng to speake
properlie, _a figure_ is euer made by platte formes, and not of
bare lines vnclosed, neither yet of prickes.
Yet for the lighter forme of teachyng, it shall not be vnsemely
to call all suche shapes, formes and figures, whiche y^e eye
maie discerne distinctly.
And first to begin with prickes, there maie be made diuerse
formes of them, as partely here doeth folowe.
[Illustration:
A lynearic numbre.
Trianguler numbres
Longsquare nũbre.
Iust square numbres
a threcornered spire.
A square spire.]
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