# Leibniz Legible — https://leibnizlegible.com
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# Title: An Introduction To Algebra (shelfmark Leibn. Marg. 87)
# Folio 173, page id 827130880:0189
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=827130880&page=189
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.86
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# After the first blank line: the recognised lines in reading order, one per line.

o LlX Problem
For Example.
In che first line OF Pa9, 266, 7. 3: : 20. 60 -: - 7. Or 7. 5:: 12, 60
650
BuT 16, 7:: 25, 205-16. Here theloneer Racius== isto che PhOrrC
25641049. In the second line (marked mith = ) 23, 7: : F20.
34C
E
MOPTEF = = 4522510269.
IF non this question vere proposed ro vou.
Pind Eleven commensurablericht lines; mhereos
TheEira marbe the Radinsof a Circle
Thelecondthe Tancent of an arch of that circle.
Thechirdthe Tancent L
Thefourchche Secant S
of the doubled complement of that arch.
ThCFECthe Tancent of athirdarch of that Circle.
84C
- - OF 3
240
TheGXEThe Fancent 2of che donbled complement of that chird arch.
The sevench the Secant 3
The ciohe a Radius of anocher Circle.
Theninchehe Tancent of an archof chis otter cirele.
Thetenththe Tancent
The elevench the Secant. Fof ihe doubled complement of chis fise arch.
Thc tenth line is equaltorhe third mith ticethe second.
as alsorothesixt mithtmice the fist.
Alsothese threc Rectangles arc equalto one another:
made of the se cond line uxon the first and fourth.
of thefift upon the first and seventh.
of the ninch apon the eichth and eleventh.
le requires no great skill to discover thacthis Qveltion is but Our ZZIL P1
blem disouised: and thac che ansivers are innumerable. Wheretore, From else
Frstline OF P39, 266, 267, You may BOrrON C. f. 8. l. m. n. P. 9. r. and FrOM
his page eno semidiameters.
05
bers by 7 cimes 26, thatis IX2, eo calie array che fractions: TOu Mall have
INTCGCF.