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
I haue .iij. A.B. and C.D. and E.F. of whiche I put .C.D. for my
ground line, then with my compas I take the length of .A.B. and
set the one foote of my compas in C, and draw an arch line with
the other foote. Likewaies I take the lẽgth of E.F, and set one
foote in D, and with the other foote I make an arch line crosse
the other arche, and the pricke of their metyng (whiche is G.)
shall be the thirde corner of the triangle, for in all suche
kyndes of woorkynge to make a tryangle, if you haue one line
drawen, there remayneth nothyng els but to fynde where the
pitche of the thirde corner shall bee, for two of them must
needes be at the two eandes of the lyne that is drawen.
THE XIII. CONCLVSION.
If you haue a line appointed, and a pointe in it limited,
howe you maye make on it a righte lined angle, equall to an
other right lined angle, all ready assigned.
Fyrste draw a line against the corner assigned, and so is it a
triangle, then take heede to the line and the pointe in it
assigned, and consider if that line from the pricke to this end
bee as long as any of the sides that make the triangle assigned,
and if it bee longe enoughe, then prick out there the length of
one of the lines, and then woorke with the other two lines,
accordinge to the laste conlusion, makynge a triangle of thre
like lynes to that assigned triangle. If it bee not longe
inoughe, thenn lengthen it fyrste, and afterwarde doo as I haue
sayde beefore.
[Illustration]
_Example._
Lette the angle appoynted bee A.B.C, and the corner assigned, B.
Farthermore let the lymited line bee D.G, and the pricke
assigned D.
Fyrste therefore by drawinge the line A.C, I make the triangle
A.B.C.
[Illustration]
Then consideringe that D.G, is longer thanne A.B, you shall cut
out a line frõ D. toward G, equal to A.B, as for exãple D.F.
Thẽ measure oute the other ij. lines and worke with thẽ
according as the conclusion with the fyrste also and the second
teacheth yow, and then haue you done.
THE XIIII. CONCLVSION.
To make a square quadrate of any righte lyne appoincted.
First make a plumbe line vnto your line appointed, whiche shall
light at one of the endes of it, accordyng to the fifth
conclusion, and let it be of like length as your first line is,
then opẽ your compasse to the iuste length of one of them, and
sette one foote of the compasse in the ende of the one line, and
with the other foote draw an arche line, there as you thinke
that the fowerth corner shall be, after that set the one foote
of the same compasse vnsturred, in the eande of the other line,
and drawe an other arche line crosse the first archeline, and
the poincte that they do crosse in, is the pricke of the fourth
corner of the square quadrate which you seke for, therfore draw
a line from that pricke to the eande of eche line, and you shall
therby haue made a square quadrate.
_Example._
[Illustration]
Public-domain text, read in full here on John Shaqi.
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