# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067997:0002 # Permalink to this reading: https://leibnizlegible.com/page/00067997:0002?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 2 # Folio 1v, page id 00067997:0002 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067997&page=2 # Source image: https://digitale-sammlungen.gwlb.de/content/00067997/jpgs/default/00000002.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 81 lines, status machine # Lines: 81 recognised, mean confidence 0.71 # 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. Esto esto X+ Q y +d. iict Ey + F X+ C, ap0. =ehil - βab- +9) Eoteg. 1 yl Esto item x + by + d 1 Zy+ 2xFBC C C - bDβ Ah β ge) Absoluta Multiplicatione componantur inter se, fiet: 1 PyX +5 X , get yt ex X + geY y ed) a se Bh n I Pab .. 1 ab .. + b481. sMyX +s X 1s 1 tap. .. +a 1β.. fd) .. + dcY . + bsβ + DB. + bBβ 2 tade Ats. Quae Aequatio conferenda cum proposita: pX 1Z a y 1 Y) + 1 1 14. +aβ.. onferantur singuli Termini singulis respondentibus, fi CB fM + aB m - f9γ = Bhl = Bab ) Aeq. 1 Maltiplicntes ipsius X, sunt utrobique iidem, quare collatione non est opus. Jam conferantur Mliplicantes ipsius y, et habebitur aequatio collatitia, quae dabit valorem ipsius n talem: t Fyn + aβn - 9cY Aeq. 2 Sed quia Valo iste ipeius haeucontinet C. et vessum vicissim valor ipsius c, continet h bβ opus est explicatione iporus C net fiet fVn + aBn, = 97 sive h fVul + apnyln 0. - shl. = Bhl -..- EPXI sive hbB)I - h β9γl. fV ut + a puyl -gy... Aeq. 3 Aeg. 4 Aeq. 5 hfy SVnt raent - 9f)m-gapm + 97Y + gBab Ai 6 be Cd 1bB =9B Collatione Multiplicantium X. haberi potest valor ipsius e, idque eo Ex X facilius, quod in valore illo neque C neque n. continentur exerit e A Ex y fiet: d H Expicano e, ser d fVp + aβp = 1f dγ L OB1 - adB 574 5N4 + aBtq ge) - bdB - Ahβ C) + aBg. - bDβ- Ahβ, C sVaL + aBq sive dF) 5V4l + aB9l Fmx x mogineorum, et fier: pr S1 aC, maltipticata, Nempequs 0 Ac primum per collationem Multiplicanitium VX, quaeramus valorem ipsius, C fiet per XXAcq. XX. Ex aq. y. V 1- h r c Aeg. Aeg. 8 =g....... - fd) ..v. Ay.9. -b8B1 - Ah BI, -g ... .... . -, + f dVg derpito initio factiasu trex tris. DX sC t X a rempa s yX + X + FX F = b0β1 - atie1 A(). gap P +gBCl + ga d ( N, 1. Sedaec Al, quia it t fieret iifimtatu quemitanea posnienus infirite parvum Ert - 5Y9 lia