# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068215:0058 # Permalink to this reading: https://leibnizlegible.com/page/00068215:0058?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 2 # Folio 29v, page id 00068215:0058 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 30r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068215&page=58 # Source image: https://digitale-sammlungen.gwlb.de/content/00068215/jpgs/default/00000058.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 82 lines, status machine # Lines: 82 recognised, mean confidence 0.78 # 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. dx A eE ehys cay sit Xp 9y + hyd + ay agy 2dghy 2dgay dtcy bg rdhay 3b9 hy 3bgay da y10 3b9try Obghay 3b9ay 49 h1 sam aequatio data y + p9+ g50, multiplicam 48a bXh yd 29t 18) 8ky 3bhay Dhayo EdGay2 eghat oytias 9h3 v est per aubitianiam qyit ly 2 ny ry ryo sy ly vy wy 20 ed dy ay py v da grav 1P q qu qly quy quiy qu quy qry quy quy qu q qesatys qrys quol pey ply 4 13 2 quae aequatio comparanda priori ideo fit ante omnia in ro. C1 at ne 6tae +49a r ba -ga- pat. lnaha sp atia + n gha - 4phaes 1x 3bg a + 3bh a - 6qtia 499a pba + p 9a + p a cy nlys ny ns ry sy tyt vy ny qyo By Dy8 ay er coy Ep 3bhae-agha v ha trgtia +6g a - eptiae - 4pg ae ssusra v. Bn et + b9- Pd + p ett p 5 9 C s 24oh. + 9t - peh. ple + P. da - P ∞q + P s ea + 3b9h 2p 19h- x + p eh + p b9t =pd8 + p eg - p5 f- f a Wp 2dga + dh + 4g h pea - 3pt gh + .p dgh. + X - p eh _ b9 + p2o s - pseq. + ( f t BF in Expt. vel 1n 269a + d 4 2gh - pdae rapus ha- apaeti + 4 pqua pqual. X que. + 2 pia + phtha - ap hn eg + ps e VI 67 Nunc omnes loteras formulae multiplicantis invenimus, veu videamus quod etiamnum aequationes praestandae s persunt, aequationis termini sunt 21., unus deest, nempe secundus restat 20; opus est ergo et omnimoda e0 literarum inventione. nono formula assunta cy15 1u B etc literas nolis exhribet 15, scilicet c. l. m. n. Y. S. t. v. W. 7. 13. dA. M. Eo 56789 10 1 12 121915 Quas invenimus restant ergo literae quinque ad huc inveniendae scilicet b. d. e. f. K. quia (9 et h. dependent est K) nam quod literam a, attinet, illa nihil magnopere, couferre potest Rus ergo ut oriamm ascende continnato dinere inveniamus valores literarum et , ascende ndo et vicissim gemmato resumto ctmere stuperiore, descendendo inveniantur ad huc semel literae V. Z. B, et ex comparatis his valoribus existent quinque aequationes novae Ccontinnalo tuere posteriore. v7 3bg a + 1bghi p dja - pote - 2pse h + Bea + 3 b5L. - 2p dgh - pst p teh + p b9. - p 19 + p C9- pt 3) Pt n, + pes - Bs et Y 2dha + 49 h +69 k - sex - B ubi ad p exhibendum potest sumi prior valor ipsius v simplicior posteri = Ph2. pgtia -6 pssae + 6 ptcar- 4 p g a - eh - bg3 + p d9 - p eg +pi F 5 Habemus ergo quinque r valores compadudos duplices quinque rem, comparandos sed facile provideri poterat nihil hinc meriae haberi, quia denique quaerendae erunt g. h eos nempe quos lineolis subductis signavi d est K. jam L KAF gY K, et datur 9, ergo assurgitur adgradum btum in ultina producta unde labor iste inutilis Non autem potuisse rem ita procedere, ut saclis incognitarum aliunde haberetur, nec in calculum intrarent, ea quae alte assergunt, ut gteex eo in aequatione sundesolida pure resolubili assumta; ex eo patet, quia alioqui comparari posset tali sudeso- lidai cuilibet ergo. et tali rationali, vel unde ergo omnis sunde solida fieri posset rationalis, quod absurdum. Et hoc omne praevideri poterat, ne labor inutilis sumetetur. 9pSk. hp SK 3bna y 3 vaey 1e 89ha 12 Aha aghat 49a Chaey (tiay) compendrosius) ut numerorum confusio evitetur, ex H. egys