_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 portion [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,]
The second circle is D.B.C, and his centre is H [D,B.C,]
that is farther from the centre. The fourth [centre, The]
twise so great as the other angle on the circumference.
[_final . missing_]
The lesser is D.E.C, and the geater is D.A.B.C. [D.F.C,]
therefore are they both equall. [_final . missing_]
What is ment by like cantles you haue heard before [mentby]
by the equalitie of the righte lines, so dothe this Theoreme
[so do the this]
Also it is meet to note y^t al angles that be made [y^{t}al]
whiche maketh two cantles of the whole circle. [circle,]
which is made of a line A.B, and the line A.D, [A,B,]
I saie accordyng to the Theoreme, that the .ij. angles [.ij angles]
so that the angle B.D.F, is equall to the angle B.A.D [B D.F,]
make their portions somewhat toward an equalitie. [_final . missing_]
doth crosse thother line B.D, in y^e point E. [B D,]
whiche was A. Nowe concernyng the meanyng [No we]

End of Project Gutenberg's The Path-Way to Knowledg, by Robert Record

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