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
Of lynes there bee two principall kyndes. The one is called a
right or straight lyne, and the other a croked lyne.
[Sidenote: A streghte lyne.] _A Straight lyne_, is the shortest
that maye be drawenne between two prickes.
[Sidenote: A crokyd lyne.] And all other lines, that go not
right forth from prick to prick, but boweth any waye, such are
called _Croked lynes_ as in these examples folowyng ye may se,
where I haue set but one forme of a straight lyne, for more
formes there be not, but of crooked lynes there bee innumerable
diuersities, whereof for examples sum I haue sette here.
[Illustration: A right lyne.]
[Illustration: _Croked lynes._]
[Illustration: Croked lines.]
So now you must vnderstand, that _euery lyne is drawen betwene
twoo prickes_, wherof the one is at the beginning, and the other
at the ende.
[Illustration]
Therefore when soeuer you do see any formes of lynes to touche
at one notable pricke, as in this example, then shall you not
call it one croked lyne, but rather twoo lynes: [Sidenote: an
Angle.] in as muche as there is a notable and sensible angle by
.A. whiche euermore is made by the meetyng of two seuerall
lynes. And likewayes shall you iudge of this figure, whiche is
made of two lines, and not of one onely.
[Illustration]
So that whan so euer any suche meetyng of lines doth happen, the
place of their metyng is called an _Angle or corner_.
Of angles there be three generall kindes: a sharpe angle, a
square angle, and a blunte angle. [Sidenote: A righte angle.]
_The square angle_, whiche is commonly named _a right corner_,
is made of twoo lynes meetyng together in fourme of a squire,
whiche two lines, if they be drawen forth in length, will crosse
one an other: as in the examples folowyng you maie see.
[Sidenote: A sharpe corner.] _A sharpe angle_ is so called,
because it is lesser than is a square angle, and the lines that
make it, do not open so wide in their departynge as in a square
corner, and if thei be drawen crosse, all fower corners will not
be equall.
[Sidenote: A blunte angle.] _A blunt or brode corner_, is
greater then is a square angle, and his lines do parte more in
sonder then in a right angle, of whiche all take these examples.
[Illustration: Right angles.]
[Illustration: Sharpe angles.]
[Illustration: Blunte or brode angles.]
And these angles (as you see) are made partly of streght lynes,
partly of croken lines, and partly of both together. Howbeit in
right angles I haue put none example of croked lines, because it
would muche trouble a lerner to iudge them: for their true
iudgment doth appertaine to arte perspectiue, and as I may say,
rather to reason then to sense.
But now as of many prickes there is made one line, so _of
diuerse lines are there made sundry formes, figures, and
shapes_, whiche all yet be called by one propre name, [Sidenote:
A platte forme.] _Platte formes_, and thei haue bothe _length
and bredth, but yet no depenesse_.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account