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
[prickes that centre . as]
as you se B.A.D, and B.C.E. [B.C,E.]
at this tyme wyll shewe you [she,we]
as youre selfe mai easily gesse. [_final . missing_]
A.C. and B.D. are the two diameters [A.C. and B D.]
A.B.C.D. is the quadrate appointed [A,B.C.D.]
quadrate from angle to angle, as you se A.C. & B D. [A.C. & B D.]
A.B.C. is the circle, whiche I haue deuided [A,B.C.]
And from eche pricke ij. lines drawen [line sdrawen]
I would make a circle. Therfore I drawe [circle, Therfore]
of equall sides and equall angles. [angles,]
perceaue by the xxxvij. xxxviij. xxxix. and xl. conclusions
[xxxviij xxxix.]
that be nighest [that be . nighest]
learne the demonstrations by harte, (as somme
[_missing open parenthesis_]
sundrye woorkes partely ended, and partely to bee ended [And]
As for example A--------B. A. being the one pricke [A being]
that corner which is greatter then a right angle
[_s in “is” invisible_]
firste these two right lines A.B. and A.C. [A B. and A.C.]
ij. quantities, as A. and B, be equal to an other [as A and B,]
in an other place. In the mean season [in]
drawen forthe vnto D. and E. [vnto D and E.]
[The thirde Theoreme.] Example. [_final . missing_]
and yet the ij. lesser sides togither ar greater then it.
[_text has “... yet thr ... ar greate” at consecutive line-ends_]
the angle C. (whiche are the ij. angles contayned
[_missing open parenthesis_]
M.N. equall also to H.L. [H,L.]
therefore are A.C. and B.D. bothe equall [A,C.]
A.D.E, and D.E.B, which (as the xxvij.
[_missing open parenthesis_]
_The xxxi. theoreme._ [xxxi, theoreme.]
there is made a triangle B.C.G, and a lykeiamme [B.C G,]
fyll vp the sydes of the .ij. fyrste square lykeiammes [.ij fyrste]
equall to the .ij. squares of both the other sides.
[_final . missing_]
The ij. lines proposed ar A.B. and C.D [A B. and C.D]
for the square D.E.F.G. is equal to the two other partial squares
of D.H.K.G and H.E.F.K,
[D,E.F.G. ... D.H.K G]
_The xxxvij. Theoreme._ [xxxvij Theoreme.]
the square that is made of the whole line
[_first t in “that” invisible_]
(which is equall with D.G.) [D,G.]
Lette the diuided line bee A.B, and parted in C [A,B,]
the square of the whole lyne A.B, [A,B,]
as herafter I will declare in conuenient place. [_final . missing_]
two lesser squares beyng taken away,
[_close parenthesis for comma_]
the great square, and that is G.F.M.H. [G,F.M.H.]
two vnequall partes as happeneth. The long square [the]
_The .xlvi. Theoreme._ [The.xlvi.]
_The xlvij. Theoreme._ [xlvij Theoreme.]
and doo not passe by the centre [passeby]
For as you may easily iudge, A.C. hath one portiõ [A C.]
if they be equally distaunt from one halfe of the diameter
[_second l in “equally” invisible_]
then it, and beynge farther of [it. and]
the second circle is B.C.D.E, and they crosse [B.C.D,E,]
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