# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068215:0073 # Permalink to this reading: https://leibnizlegible.com/page/00068215:0073?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 2 # Folio 37r, page id 00068215:0073 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 12v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068215&page=73 # Source image: https://digitale-sammlungen.gwlb.de/content/00068215/jpgs/default/00000073.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 86 lines, status machine # Lines: 86 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. ret K4, K m nt + K m nB, coq m n + Eoque mn + n end aqo PM seuordinando K m+ n+ m + coq mn m + +co, nd n Y mn possis et parere c0. aaequ. 9. id enim seu per effici potest sumamus jam pro s Eto gradi h + ha + (2 m + n aq S. HL +hm + hn + Im+ ln + ma aegu. p hlm + hin + hmn + Imn aequ. 9. h lmn A aequ. Y. (3 aegu 9- Imn aequ p - im -In -mn im + In +mn erit h aequ. Y 1 + in +n (Y) exdurtus aequ. 1. et 2. fiet: r rimerinermat ln aequ. olmn Inim et ex aequ 1. et 3 fict at rmt n r in + lma en aequ. plmn ex aequis. fiet, 12 aegul glmn = rmon. nia ex aequ. s. fieit PIm -Y E i = Imn un nnd n quos duos valores aequando inter se fiot: glmum-rm m-rr rmam) aequ. pl MH mone agr l = rI md (r momn) m n adeoque siat l seu qlmam E aequ arin CY aeq. 2. et 3 q(- Imn ) aequ. P 1 n min Mnu (2mn l mn =m n n et siet ( aequ. ln plm - meroe - imn in - qL + tn glam- r im in ne + mn nn um nqu. uande pum in = M 3a - lmenm - q lnun - gmam aequ qlmm = ntam 1lm lum nn rmn mo = r lmum =rmn X XpA + XX) 29 (1) (2 h tmn h +lm In aequ. s. hl+ hm +. hn+ Im + In + ma aequ p. h.6 hem + hln+ hmnt lmn aequ. g hema aequ. Y imn Ex 5et b. fiet 6 haequ. mg-lnn (12) em+ lntnn, h aequ. P - em m aequ. 9 tum- l’ meri seu l’aqu. qlmu - r in nin (10) ex 5 et 2. fiet p tmn - lrm tm aequ Y in, vet l’ aegu P Tum - L -1 (2) mn m (13) brin ex 6e17 fiot 90L (Imu et) aqu. p tom-Bri Bmn l et l aegu. pe ind Vimam qu ina inre ex 9 et in fiet qu mn n = rt pit ( rma 1n) aequ. plnm - m m 1od v3 vn mn Exg et B. fiet: G lmn ni : 59L nin : 4 - r 1 n ErL mnm - rmm ne (= r Emu and. r nite aequ p prin ln - men - lm n m - qmen et fiet 66) r mn + raen- mtnt - quinum + p n n l’aequ +quon + 9me- r m3 -2r ma m- pin em nitid i idendum an non compendiosior via nempee lm + ln + mn aeqiu. p -= h l - tm - hor exodem rago ergo ph - h.t= tem sen aeu g- lm et pro h. substiti endo valorem ex 5 et tollendo frnctionem fier: pYlmn - r aequ qrm- 1 m 2 Hiac si resser 0 se si aequatio duta esset: XX PN + qu X s. fucitem inprinis fore solitionemm statim emm haberetur per aego 19. valor ipsius Imn. ergo et absolute valor ipsius h, ergo et absolare vala ipsius Y Ergo et valor ipsius PM . l. m. n. et go et radix aequationis seu vulor ipsius h. mo jam 0 video id non licer et esse contra Hypothes Quia secimus lmg. aego. V. ergo non est, t redemmus ergo ad ram. Totuus = pr (MM = glM n + (3M V vocemus C. fiet in eigu ∞ co. dinstar aequatio, 14, in qua solae supersunt lterae m. n possunt aliae adhuc repi scribi aaequationes p numere 5 pro reliquis quatuor literarum combinationibus it n alm puila a sint duae, una pro hl aequ. = 7 1- hmn-imn fiet: in Y +hin E e qum mo + n +n un