# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068235:0031 # Permalink to this reading: https://leibnizlegible.com/page/00068235:0031?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 22 # Folio 16r, page id 00068235:0031 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 15v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068235&page=31 # Source image: https://digitale-sammlungen.gwlb.de/content/00068235/jpgs/default/00000031.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.76 # 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. ant b + mp () + + v (a) + () (a)) + m s sntv Fan (aD) + vmn + vCa) ( init v = m gpsa 1) = mivn -m H) tunc or simul fieri poterit mulliplicatio et qod sicudivisio id est rationis compositio ut sed aequ. + tientes omnes a b. cidocc dividi poss Heu alteri pt unus per alter per f. procedit hntv + hn) + homn +hv(al + K aequ. mntv + mnta D + tv (a) + Ca a debent autem omnes esse integril, et F minor quam n tv+ nD + bmn + (a) et affirmatior seu nihilo majores suntque m. n. t. v. (a). (aD. dati et h. F. quaesiti. ubi nota esse (a)rin. ((aDrju idem (4) et (4). M et t. n et V tractari eodem modo. Debent constare qu quibus minora, otem relatio literalis qua major exprimitur per minores. forte opus esset saltem dari singulorum terminorum qui adhibentur aationes etiam perfractiones replicatas. sunt autem m. n. t. v. commensurabiles, sed de (a) et (4) id non constat Et ita opinor res procedet. Nam additio duarum fractionum replicatarum, supponet rarsus additionem dualum fractionum repercalarum, quam reapse saciemus. iterum novum supponendo, et hanc Aerum faciendo ato titinu denmantore horilem an sihonem video acendo ad communei denominulore hoc ilem additionem. Video potimlipitri difficultalem 4 f6 2 764 33 2 24i6ot 220 (15 (. (1510) 1d e. Aot12 id est 2 10 +92 15H2 o 15(+ 207 hoc non procedit ot aequ co. et 1 equ 11 14 2 v sx+ Ergo fnt si quogantes t. n. W. x atlernis nempe t. W. y erc. dividi possunt per vatam quantutatem numerum f. statim habetur multiplicatio fractionis per f. alternis dividend et multiplicando. Contia habetur divisio fractionis alternis multiplicando et dividendo. Quod si utrumue fieri possit simul, ut si quotientes sint commensurabil