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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 46r, page id 00068195:0091
# Scan: The same scan is also registered as fol. 47v; its text is given once, here.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=91
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

si  lineae ordinatim data sese
in aequatione veasinisi unam habeant constua-
tem non habeant constantissimam
e intersectio earum est linea recta
sit (1mo)aaa +2aX = XX + yy
ponomus rallos i
quatiue ad circulum,
ponamus a constantem
ponamus expo
in curvam fiet t jam differentiari
aequationem I. fiet (2d0) a4 ex Cod
ta +x = 0 cujus ope tollendo a ex
Eti
Eaequ. 1 fint (XXC 2XX = ∞ +yy sed
hiaec aequatio est impossibitus; unde sumame
seu curvae non concurrumitaque sumamus
aliud exemplum sit moa  AX,  XXt yu
unde differentiando secundum a fite) a-X F0 siu
X = a quare tollendo arex aequ. 1n fit denique
ex sit generalius (mo) aa + VX2bX = XNTy
et(2d0) 2a+ 2ada + 2db da =0 seu
a + dbx = 0 seu  sit, b = n a oposito r
esse numerum quemcunque, fiet et ex aequ. 2. fiet
qua + p = 9 seu a = - nx. unde in aequ.
ima, seuitosaa + 2nax = X x+ yy subctituendo
a fiet pro a valorem, fit
nnxxconuxx extyu  unde
patat in qua cunque ratione sumatur  at a rem
esse impossibilum citaque mutala forma