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
THE arte of makyng of Dials, bothe for the daie and the nyght,
with certayn new formes of fixed dialles for the moon and other
for the sterres, whiche may bee sette in glasse windowes to
serue by daie and by night. And howe you may by those dialles
knowe in what degree of the Zodiake not only the sonne, but also
the moone is. And how many howrs old she is. And also by the
same dial to know whether any eclipse shall be that moneth, of
the sonne or of the moone.
The makyng and vse of an instrument, wherby you maye not onely
measure the distance at ones of all places that you can see
togyther, howe muche eche one is from you, and euery one from
other, but also therby to drawe the plotte of any countreie that
you shall come in, as iustely as maie be, by mannes diligence
and labour.
THE vse bothe of the Globe and the Sphere, and therin also of
the arte of Nauigation, and what instrumentes serue beste
thervnto, and of the trew latitude and longitude of regions and
townes.
Euclides woorkes in foore partes, with diuers demonstrations
Arithmeticall and Geometricall or Linearie. The fyrst parte of
platte formes. The second of numbres and quantitees surde or
irrationall. The third of bodies and solide formes. The fourthe
of perspectiue, and other thynges thereto annexed.
BESIDE these I haue other sundrye woorkes partely ended, and
partely to bee ended, Of the peregrination of man, and the
originall of al nations, The state of tymes, and mutations of
realmes, The image of a perfect common welth, with diuers other
woorkes in naturall sciences, Of the wonderfull workes and
effectes in beastes, plantes, and minerals, of whiche at this
tyme, I will omitte the argumentes, beecause thei doo appertaine
littel to this arte, and handle other matters in an other sorte.
To haue, or leaue,
Nowe maie you chuse,
No paine to please,
Will I refuse.
The Theoremes of Geometry, before
_WHICHE ARE SET FORTHE_
_certaine grauntable requestes_
_which serue for demonstrations_
Mathematicall.
[Sidenote: I.]
That frõ any pricke to one other, there may be drawen a
right line.
As for example A--------B. A. being the one pricke, and B. the
other, you maye drawe betwene them from the one to the other,
that is to say, frome A. vnto B, and from B. to A.
[Sidenote: II.]
That any right line of measurable length may be drawen forth
longer, and straight.
[Illustration]
Example of A.B, which as it is a line of measurable lengthe, so
may it be drawen forth farther, as for example vnto C, and that
in true streightenes without crokinge.
[Sidenote: III.]
[Illustration]
That vpon any centre, there may be made a circle of anye
quãtitee that a man wyll.
Let the centre be set to be A, what shal hinder a man to drawe a
circle aboute it, of what quantitee that he lusteth, as you se
the forme here: other bygger or lesse, as it shall lyke him to
doo:
That all right angles be equall eche to other.
Public-domain text, read in full here on John Shaqi.
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