# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0367 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0367?run=44 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 183r, page id 00067993:0367 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 182v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=367 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000367.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 65 lines, status machine # Lines: 65 recognised, mean confidence 0.83 # 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. ubi sane ponendo v esse numerum terminorum haberi potent relatio inter ∞. W. X. item inter (V) W. y. item inter ( (∞D. W. 7. seid inter nec X et v. e si haberetur, omnia haberentur est tamen ea relatio determinata Omnia haberentur, itaque si adjiciatur relatio inter W. X et constantem a, sublata esset W. et haberetur relatio Quamdin autem haec relatio nuda inter X et v. et constantem a. inter W. x a non habetur, et habetur relatio inter V. W. X. bunc data Habetur W habetuo relatio inter verX. etiam relatio inter V et X. data speciali relatione inter. duos quosdam terminos sibi vicinos aut cerro intervallo remotos, X et W. Item data uno terminoeum relatione Unius termini et ut numeri terminorum datur sequens Haec methodus eodem modo accommodari postest ad series in quibus habetur proprietas, secundum quam series in quibus intervallum terminorum infinite parvum. si scilicet seriei talis habeatur proprietas ut quo eadem semper sit regula interpolandi, ut in Logarithmica. Nam quilibet termini w. X. y sunt tales ut sit ny aequ X. quod ut in infinite propa vis in tervallis, ita et in ordinaruus locum habet. quod n x. 9 Z. c0 .Jam quia: yuqo si poamus Quando X et y aequales poni possunt, eoque casu inveniri quantitas ipsius v. tunc curra habet maximam. Sed eam hoc modo invenire difficile sp otag PA. Y v:: (V)= Vs (3) aqu () ()) traequ y - v V s coqu 3) (0) () aequ (V), -vt sen vtraequ (3) = (∞). seu vaequ (Y) = (∞) et y aequ (ys2 + (y) - (B) CY)tt Ergo y aequ 3(7) - (0). ergo fiet. 26) () 12 12 a 12 aequ X Eodem modo: () aequo a a aqu sed video opus esse invention (27 aequ ta agentium pro, curois transcendentibus dy aequ Baequ. a smis sit _ aequco l db similiter: a) aequ. d ) sit a aqu 1 fer: dus rgo b d 1b et supen ds aejo d seu dy aego b d . Ergo fier: a i a db 2 aequ qon dae Luga - D a d BE b a b aequ d b quod perse palet ) aequ uaa l (x. )5L aequ. b da t p.r aequ b so ninil ic ducitur quam quod indv