# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0405 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0405?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 203r, page id 00068195:0405 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 202v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=405 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000405.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 102 lines, status machine # Lines: 102 recognised, mean confidence 0.78 # 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. + v ipcossaegu V +D spcoco BI.co ssum ipasqu C 1c paego co 2C Cd aego ip: 1C aqu, 2p: corC aequ 3p: cocor 3C Ap conc 2F aequ co2c Ego et ix aequ 3p coco. 3C seu 1p: 2p: 3p :: 1C = co 2C1 Coco. 3C 1p aequ cd 2 2 -c 2p aequ. Cd. 2V2 - 2c. Sp aequ et 2 123 ip: 2p: 3p:: Y2- 1c: co. S2- 2c: coco. Y2-3c ip: Ep: 3p:: 2- 1c: d 2 2c: cot. 2=3C in qua analogia continentur est seu : F: 3 B: 4p e :: 2 - 1c : 2- EC : 2 -3C, 2-9c eus aequationes. 2 -1C ipco c04 lC aequ _ +rf rer aequ. 2C aequ 2C +2f Ee + 2f aequ 1c. 2C2f aequ. 1 Se aequre p. Co 3C aequ 3C+3f BC aequ 4C aequ β3C + 3F aeq. 2C 3f aeqo 2fl:c0 2C aequ 1g. y + 1 8 quolis facis 3C3f aequ 1. 2. . + ..... + 2)... 3caeq. 2 = 3P3F 2- 1c ipip cost ipip Cd F2-1C epip coco vib vyu 2 - 2p3p ceq 2L∞ 2-15 ipipco s in ultiuro scilicet casu cum potusquam est infinitaagulum nu Nota in eodem casu ultimm fit 2C aequ 1c que adeoque fit 1C ∞g. 2 = 2pp 1.1 1. 1 +b 1: 1+2b 1: 1+. 3b 1: 146 van ap 2P 2 - 1c 1+b ipiped b A+ Eb 13b. 1+ 4b Ego tC aequ Ec b sunt ergo 1C. 2C. 3C. progressionis termeture decrescentis. + V aequX X aego y aeqo Z. Ergo aqu Yy = aeq. Z aequ pet X aequ 1y. YZ aequ 32 nitus le 2-1c tndiu nota cum C aequalis ponitur 2. fit aequa tro identica a in 20 posito Z esse infinitam ergo aeq. ) 5. Co VEc + c +- S+ - aequ 2 - 2p2 2 -1c coco ad hoc si nissot eries 2C aego 1eli cor2 , fli cerB et 3C aequ. 1 l. c r +1, 1 a + 1+ 1:c0 d X. y :q:: 1: N 2 aequ 1C Ergo tre aequ lie: co de aequ 0. fict. n ar. 0 seu ln - lo aequ 0 lb lifaego lif.co com lit lic lif ) ce ptico scribam russu IiC + lit aq. 0 l2e + 12509. 0 10 + ct +l hico +fm Kicaeq re +oro i BM. C 1c aeque ad matur quod n est inis a et b c et bErgota Et la lC ccaegienit dctevrt. bolet 12 15 +l: 1C + it nifrni. H: A: K en 1t sC87 1e + x lay. 12 + g + ixtlaqC aqu quaeritur y EC aequus 2C +E) eit +1+ ly 3paego Con. 3c 2C 2 2Y 2-39 Ep ipco