# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-3653099:0230
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-3653099:0230?run=74
# Title: LBr. 57, 2 · Bernoulli, Joh.
# Folio 115v, page id DE-611-HS-3653099:0230
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 116r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3653099&page=230
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3653099/jpgs/default/00000230.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.85
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

18.
n
1X = XV X + a2, quadratum ejus X X + alX2
dividatur ia duo quadrata quorum latera habe
aat flueates geometive rationabs, puta in x X2
et alx, quorua latera sunt  X et a x, eo
e
mar
mtzX et a x, divisa utraque
rumque flueates
JX
2X mar
per a habebuntur-
in+ra
et X procoordina
sis curvae quasitae qua multoplicata per a pro
ducit aream propositatu F: XVX
va eadem en eum ea quan Auitor per longum
calculum invenit. Quod autem hac methodus
qua Acutor post Aculissimua Craiguit uti
fur non sit univeisalis patet exlis, qua insi
nacoi ca Aclis Lipt. 1695 pag. 63, et pag. 376.
praterea hoc iacomodi habet, quod plerunque
Linea per eam quaerenda non sola sit cujus exten
sione area data quadratur, sed recta quadam
ipsi fere semper addenda vel devenda sit, sie
pro quadratura Circuli vel potius semisegmerti
circularis t: es Vray-yis cavenit quidem C. Cred
gus arcua ilidem circularm non auteu pu
rua sed cum recta quodam permixtua: verum
per meam methodum curva quadatris semper
pura et sola oblinetur: sit v. g. idea semi
segmeatum cicculare t: y vray-yy quadrandum
per extentionem solum solius alicusus curva at
gebraicae: Pro hoc fiat curva cujus coordinata
s
scat
20-3ayy+ 
haa
et ray-yyvray-yi
haa
 duo
longitudinem lujir carva ductat in radium
fore aequale seacisegmeato circulari t: s Vray-yy.
notendum etiam me infinitis aliis modis idem