# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0328 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0328?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 163v, page id 00068200:0328 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 164r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=328 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000328.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine # Lines: 104 recognised, mean confidence 0.70 # 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. + ag 280 a3X +d Pa3 ( ponendo sclicet PN 5 et B 1 Z. in scheda in fol sib siga D, quae de et D pn datae sed hic jam notandum est, si b. sit determinata, et F, absente pilaet aequationus cum qua factilia ita comparari debet termino secundo tunc oriri absurdum et collatitionem scilicet inter duas quantitates cognita Nec remedium ei rei habebitur si ponas pro d, aliam La tunc enim fateor L determinam in termino quarto, posita licet F p7o, sed 5 in termino tertio et 2do aliud incommodum inde oriri, quod si scilicet L per f infinite parvam diviso, caetera cvanescant. operae pretum ergo est ad ea recurrere quae paus. praecedente margini ascripsi, et quae figura sta explicui. Erunt enim aquatiopes Aeg. datam: +X +b X + ca e S + dy altera ad circulum nempe: -d X + eX + Ba B Y + Ay. Aeq. Unde per Ateq ad circulum cit s pp 8 + ex + Ba - Hy 03 a voloe in aequatione ad cirnalum substituto, fiet: y 1 + a N + b X + ca FC - B⊓ M. fier y e VV X + BX + na eritue y e Y. et e.. = Ba =X + 1BX+ g naX+ B X + 2 BMaX + a et duvidendo plst 3. Hos valors agrationi ad circulum inserendo, multiplicandoque omnia per , batque ordmando fieri li lign 190 + a6 g uoet 11. + Aa 1. 9V +0at. 1. q er as quo4 uaga +d Ba. +XDMa 2454 qu Y. quga -Da 3294 et a 15+N +G.. + X95 Ad9pa e92 . =Daq Ransusque pro 8A ponendo da pro pounde 0Va pro eG, puatnto W a, peu DaG pmento va agam fiet : X + 25 X3 + 2 X + 2F H aX + epa +da +2 C 1) d +dar +da .. - va conferatur cum X AX tamX = anX ap. fier fet: a penendo . +654 et Vp - p. D elidetur V D, et fet aequad + 2VX +2ZV a X +W’a + EV + E G Calculus qui hanc eyuntionem 2 pproduxit reperietur. datam. Aequatio ad sectionem comcam datam est: +a X + (1_) X, + ca Y + dV. Ca3 constructionibus istis fuse nisi quod ( pob, et deuo d- A appellenus (2) + a +1, rI (8), +b- er β. quoa 57 = a. explicun. tmmos omnes da B 94, et p a f Set 1 d - l, fiet da p dd d eodem modo a ne(seu or svalent dq ad d + d a ad senique ca e fiet conferendo cum N +lX am X + an X + ap 5, e se conferendo cum N + IX +am N + aen X + a7 0 fiet: et ponendo (n 10. ficipatum. 3; M a + etta vollnde patet magnam nobis esse, libertatem explicandi, ponendo enim a 1, cognita erit C. et quae supersunt incognitae duae d et Z utique drabus etiam aequationibus facile definien, a. Une pabed 3 porise omit, eiu inst, calalim assumens. fet da. N a 3 am - L- d add- Na coque valore in ejus in locum in remino quarto substitto. fier. e es. an (- anl 19 + du- 2d A + N ae γ194 fier per team 3. A04 n an = , vel quia B B d + 3, fier: dd t pam- to d ad udt ad a51) 175 et l + da +62 a B aem, sive da pus atu - l aa ergo +a N - a ns amt- 13- val, vel p an ranl- 13 l a (3e L. per Term. 2. Futa 64 rat X rat A posita jam a3( + 254 2N dnam e an ari d