# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0407 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0407?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 204r, page id 00068201:0407 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 203v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=407 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000407.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 102 lines, status machine # Lines: 102 recognised, mean confidence 0.74 # 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. s jum fecissemus non Z co+ V sed _ ct Z, fiet. 1 50Z + emn Z -ienu vZ - emin qu + m Sit jam aequatio data erit ve P mne q 44 15, pq Y Y seu -3pq er ++ v+ Donamus jam in aequatione data etiam superesse + 15mnv _ 7. 22+Z+S +t -69 +p S sive p ( 125 + 7 525) 625125 arbitrarias quandam, facitas explicando, ut si initio ae inaegrita fusset: Calculi autem contrahendi causa sic agere utile erit Ultile autem videtur explicare Z et facere ZH PX + f. fiet: X + 5fX + 10fX 105 2 + 5 fexf - 5v - 50 4f - 5vbf - 51 4f3 emn. - smn2f +15 mnn Facie sit jam aequalu data, et habebimus: -5mns f remnvis +5mn - f sunf.. +ienavs.. +5ninf.. X asqu X rrgX 48 X + pgt X 5 = b5 =1emnp3 2I +stb. tasbus .. 3rbgs. 2969. + pbg 410tb. +65bg.. 3r69. rast.. 45b9. + 10+b3 v. 5t b4 conferendo Terminos terminis, erit ex secundis; vi 5f c0 - 59 - rtb ex tertis: VH 10f c - rmn c, - r9 - 4sb9- 1otl quos duos valores confecendo (20) fcoe erit 1mnt (10 F C - rga - 45b9 - 10+ 1, -(20s co + 4sgto + 20+l. fco c Rursus ex terminis quartis Vr 493 + 3rbg2 +65b9 + 45 b4 10t b3- 10fco etemnsco Quem valorem si rursus aeques valori primo ipsius V, habebis novum valorem ipsius 15mr = 30f2∞ mn, nemne mn H 4g7 + 3r b9 +65b29 +45b + 10t b, = 10 fc0, +30f - 6f0s9 - 30fl tb = 30059 - 15c0 +b aequando duos valores ipsius mn. aliam rursus rabebimus aequationem, sed calculus videtur nimis polixus reddi hit et Z m bc + d FC H X. BZ+ h. fet et ZB m er Zt Aemun Z3 ismavZ smo h Ergu 25 n irnmv +Gvahh ahati poti ti -Guatisti lL timnyliti +smn3 h, =sR+tZ 5MZX X. 1. -5u6ti 3 =5V4t Zh, 2tZ 5t X - 1kZ X a 15 d 5de l - eae -Avate Z +svatistit. h -54sHd Et olligendo in summam, fieb, goniva X ex X- Zovh X + 3ot X 2ovhDX m bd 6t2. 1imah: - 15mnv.. + 10h3.. +5V sit jam aequatio data t. explicata explicatione minori Xr 10b 2X3 10b3 X Apb 6p82.. 398. in =Gcanzhah +ismuvti =rmnoh Z Lsmnyti 2 +rmastiat + 15mox ah Z Bmnv Z + 5tich. 23 Hanc aequationem comparemus cum data sed explicata ita ut sit ZH = +d. tantum Ponendelx loco ut alia plaga ex qualibet c quatiope surdesolida auterendi termingisi pares, tantum ibi posueramus X pro Z. et contra: utile autem invenii calculi contrahendi causa, ut fiat. d 70. scheda deteram, ubi modum ostenderam 5mu 73 m u + 5th2 X -58 2tk. 5Vb+p 5h. 5ma,, 1062 4p b. +9, + 20h5b r ohip.- rohst 3045b, 30t p - 3olish, = 15, 5b10b2-155b abp.- 15, 169, 155b20h56 rot =155b 20hp + 155b 20h tr -15, 5b6t 1 10 b3 +6pb + 39b + 7