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
To deuide any measurable line into ij. equall partes.
[Illustration]
Open your compasse to the iust lẽgth of y^e line. And thẽ set
one foote steddely at the one ende of the line, & w^t the other
fote draw an arch of a circle against y^e midle of the line,
both ouer it, and also vnder it, then doo lykewaise at the other
ende of the line. And marke where those arche lines do meet
crosse waies, and betwene those ij. pricks draw a line, and it
shall cut the first line in two equall portions.
_Example._
The lyne is A.B. accordyng to which I open the compasse and make
.iiij. arche lines, whiche meete in C. and D, then drawe I a
lyne from C, so haue I my purpose.
This conlusion serueth for makyng of quadrates and squires,
beside many other commodities, howebeit it maye bee don more
readylye by this conclusion that foloweth nexte.
THE FIFT CONCLVSION.
To make a plumme line or any pricke that you will in any
right lyne appointed.
Open youre compas so that it be not wyder then from the pricke
appoynted in the line to the shortest ende of the line, but
rather shorter. Then sette the one foote of the compasse in the
first pricke appointed, and with the other fote marke ij. other
prickes, one of eche syde of that fyrste, afterwarde open your
compasse to the wydenes of those ij. new prickes, and draw from
them ij. arch lynes, as you did in the fyrst conclusion, for
making of a threlyke triãgle. then if you do mark their
crossing, and from it drawe a line to your fyrste pricke, it
shall bee a iust plum lyne on that place.
[Illustration]
_Example._
The lyne is A.B. the prick on whiche I shoulde make the plumme
lyne, is C. then open I the compasse as wyde as A.C, and sette
one foot in C. and with the other doo I marke out C.A. and C.B,
then open I the compasse as wide as A.B, and make ij. arch lines
which do crosse in D, and so haue I doone.
Public-domain text, read in full here on John Shaqi.
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