# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068022:0063 # Permalink to this reading: https://leibnizlegible.com/page/00068022:0063?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4 # Folio 32r, page id 00068022:0063 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 33v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068022&page=63 # Source image: https://digitale-sammlungen.gwlb.de/content/00068022/jpgs/default/00000063.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 85 lines, status machine # Lines: 85 recognised, mean confidence 0.82 # 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. pars NV Nimirum fier ordinamdo: (umltiplicenda y + 2e BY P L2 + f.. + c y edV reβd) aβC. fβC. gac. + + fB 4 ga de da ep d tem tormula per formulam per f a 9a Hoc productum agulae sui finem raginae praecedentem praecedentis itaque dubitandum nn est de calculi veritate concordat cum superiore Eodem imido fiet ordinando formula multiplicum a a V +f. performulam: Hoc productum rursus convenit cum superiore quod est sub finem plagnrae praecedens tem praecedentis possumque iterum de hac asd quoque calculi parte securi esse. b Ps. Cf i ad bse Be. dae.. ex Absolutis ergo destructionibus, restabit Numerator totalis, in quo literae a. βB. cognitae: HY) literae autem e er 9 pendent a f. ac proinde explicandae, si fquaerimus. denique, b. c. d. sunt indeter- minatae a se invicem indepen- dentes: quas tentemus determinare, +EBC V + rest V +ed = bBf.. + eβc. +Ada nempe + 2bBg.. + bβ9 b5f.. + cBga confeundo cum superiore numeratore seu formula... - - . C V + LaV + lae et l quoque p 1 Exprima cullatione fiet b r = eat eBC. Exsecunda: +2eβd as+ eB cf + 2eagfre(C9+ reas qu (e et fiet C haf =2eβdaf. réag réaps L eB +sBda + C a β 9 = e3 c9 + cBga la. Quoniam vero quaerimus d, et in C latet d, ideoque Cper brachylogiam ita expripbmus: CH mat = 2edaf, adeoque +eB ana 3f + fBdana Bf + e’a βg na3+ eB Mags res eβ dat9 + maBgaps dat gapf, lana f Posito ergo. f. esse quam libet cognitam a cornita eruti m. n. cornitae erunt, eb i eritque d la naβf- Caβgna = ∞3 matus + ma ga β. ed L (C9a.) bf.. Let.) F ge Et quoniam daec duo producta contranis Signis afficiuntur destruantur quae conve niunt