# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068207:0116 # Permalink to this reading: https://leibnizlegible.com/page/00068207:0116?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5 # Folio 58v, page id 00068207:0116 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=116 # Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000116.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 166 lines, status machine # Lines: 166 recognised, mean confidence 0.71 # 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. numem divisor a periodus in quadratis nisi sst resolsi in duos factores tadee ut unio binaite anctus sit danisbursis in aiteram. in cabis sit = bcd at H-12b suit set dicasor yV t = bcD ptga qt b fit 7 b + 1 et v 4 i Cv seu B+2 = CV. Ergo non potest minor teddi leicior ob dicr CD Ergo pl quadhatis 1 +b+1 e ne itm i ay ea ee c 256 289 b 90 2 in cubis, 1+b. +1 + (b4 1) qu D 25. 3 1ea S Quan Cd.Cm inb umat BGmnatru gum. 1C f.. AB. des () -.nm... mmun qua an pd e(Y) am in biquadcalis, 4be eb +d qu. Hb+1) cub dvidi a tim e a a s_. Hic c regulam, per quansciluns quanta sit penodu netouorum propotentas a aa si petentiu a. C et ita porro mastionm enioous potes t na ejusdem gratus 1t oue 4 a frotu ntur ad initiam ubi residuns fa. 1. Ergo et fiet v. Vavgnu+= p seu +2+: quo i non potest periodus dari a avvor, seu douadratum ad H. sed s sit numerus n derivatious, potes saviso 11 sit integent is peridius non ede ante debeant dividiper i piet si quadlavi drvin + Y+ = 2 seu 151 ut y 4 et etiam SV Vynt = 151 1n -1= 3. y+ 1 = 5V, quea a eu ud 3 fint 741 H tc y Illi ya d +gg 4y u 7, sed hoc non gt 1- dibi si bolae per 3. rgo non siC y- Ilaque semper aulcam pot o iaes prioces divist lin Lu lus Hinc licet invenire periodum. Sedille erdum i resolvi pren in minores nempe si orortor edn sit primition Sidem in omnibus potentus ipocussit. masor quom ita erus qumos y 449+7+ +1 = 5. fit s=B. y - 1= 5 - 1 tentetur ges succedit epot e V la fieret peri ponprocedat quid qa u nn C et a sed hoc non procede +1= F 7 non potest dividiper di si a l pou paece. yy- 1 = 15V. fint si fiat periodus este brenior. Ey. et. sit quin v fat Y-1 = 1) se Y = 12 diaid potest per y led um invenu sic potest pertovas resitiom. Nempe podeunt am taspncr quidi per datum, ut H. si e e succedit, verb y - 1 = 11V p et suo y -1 = 11 et fiet y + yy + 1 +1 = V iua. iatemper et rrsori ontrai aquatur jy 1 = 11Y 8+ y - 1 = 11V Aota It inseger utique alteratem est 1 Eag. Eut sit y a 1= 11 fit y 12 et seu yF 1=V v- 12 2- l u 1 11 u 13 143= 11. aliter _y+ 1 = 11 fit y 10 et D = y 1 = 10 --1 = 11. 9 1 it