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 to returne to the diuersityes of figures that remayne
vndeclared, the most simple of them ar such ones as be made but
of two lynes, as are the _cantle of a circle_, and the _halfe
circle_, of which I haue spoken allready. Likewyse the _halfe of
an egge forme_, the _cantle of an egge forme_, the _halfe of a
tunne fourme_, and the _cantle of a tunne fourme_, and besyde
these a figure moche like to a tunne fourne, saue that it is
sharp couered at both the endes, and therfore doth consist of
twoo lynes, where a tunne forme is made of one lyne, [Sidenote:
An yey fourme] and that figure is named an _yey fourme_.
[Illustration]
[Sidenote: A triangle]
The nexte kynd of figures are those that be made of .iij. lynes
other be all right lynes, all crooked lynes, other some right
and some crooked. But what fourme so euer they be of, they are
named generally triangles. for _a triangle_ is nothinge els to
say, but a figure of three corners. And thys is a generall rule,
looke how many lynes any figure hath, so mannye corners it hath
also, yf it bee a platte forme, and not a bodye. For a bodye
hath dyuers lynes metyng sometime in one corner.
[Illustration: A]
Now to geue you example of triangles, there is one whiche is all
of croked lynes, and may be taken fur a portiõ of a globe as the
figur marked w^t A.
[Illustration: B]
An other hath two compassed lines and one right lyne, and is as
the portiõ of halfe a globe, example of B.
[Illustration: C]
An other hath but one compassed lyne, and is the quarter of a
circle, named a quadrate, and the ryght lynes make a right
corner, as you se in C. Otherlesse then it as you se D, whose
right lines make a sharpe corner, or greater then a quadrate, as
is F, and then the right lynes of it do make a blunt corner.
[Illustration: D]
Also some triangles haue all righte lynes and they be distincted
in sonder by their angles, or corners. for other their corners
bee all sharpe, as you see in the figure, E. other ij. sharpe
and one blunt, as is the figure G. other ij. sharp and one blunt
as in the figure H.
[Illustration: E]
[Illustration: F]
There is also an other distinction of the names of triangles,
according to their sides, whiche other be all equal as in the
figure E, and that the Greekes doo call _Isopleuron_, [Sidenote:
ἰσόπλευρομ.] and Latine men _æequilaterum_: and in english it
may be called a _threlike triangle_, other els two sydes bee
equall and the thyrd vnequall, which the Greekes call
_Isosceles_, [Sidenote: ισόσκελεσ.] the Latine men _æquicurio_,
and in english _tweyleke_ may they be called, as in G, H, and K.
For, they may be of iij. kinds that is to say, with one square
angle, as is G, or with a blunte corner as H, or with all in
sharpe korners, as you see in K.
[Illustration: G]
[Illustration: H]
[Illustration: K]
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