# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0338 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0338?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 169v, page id 00068195:0338 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 170r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=338 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000338.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.81 # 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. rposecto conca data 24 x) 2 s- 2+ + Lust, ila ut malar ipsigb ita ut ac H Eeie ut fiat 2 aXZ + 1)(2A V utplicetur, aequiralea v 7+ 2y +qu unde fiet + +Z + t q p Sy + qu. quae ut apivaleant prioribus esto qole e7 bg Ck et 95i b9 se, et Z e 1X. da ZH X +C Unde fiet a X 1 rac + a X siumatur differtutia iner ipsam bq mventum et ipsum 4, quae differtntia cpto C. 2 Cum ergo sit 4 seu ceo 9 + C r bqE per consequens pro +ZF4 substitui potent vntar ipsus 9, seu b4 -e unde fiet 4 Z ++ bg- t e, quam eo magnitudnim comparando cum ++ x +bg, fet Z AX A F e, vel Z FX + e fiet C + Unde rax f nac + X lico caZ + a y0 Positae diri rax + rac f a x + a C a 2a eX, loci 3aZ + a q 7 69-9 restant comparanda a intr vr +7 2bX + C X + h p y. et h H qu+ b acr 17 n + l arbitrariae sectionis, conicae ae quatio, unde + 246X + X + qb + aγ + 9h + qu10 et + + qb F 1x FI s+ 4y + 4 h + 4 Esto jam sectio lonica data 2aZ + a x 3 Unde fiet 4aZ + Z + q + 4 y +g4, Et extracta radice + 9 + F Z 5 +qy + q onati +q 4 e 17 Xetmriq imparando 4 + _ + + X cum + f4 tq, et aufeendo utrobique + +4, restabit X F, Z+ e dende conferendo +Qy cum. + 4y, fiet cri a. denique comparando i q un +2h + qub. fet q 5 + + 20, et lp + aq + 96 Applicemus ad parabolam, et pro abx + CX + b, Y y, substituamus valorem apsarum X. C, et h. fietque: + abZ + 2be (ib9 - ab4) + a q. + a (qt+ qtb - 2916) + ag + ab. 53 sed ita eoomescerent Unde necesse est a4 F aq + qua + agba b, quoque esse infinite magnam, quod Unde cantionem discimus, ipsius h valorem ante radicum extractionem investigandum. eest ergo