# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0510 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0510?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 488, page id 175905688X:0510 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=510 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000510.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 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. 488 IOT ANNES TIUDDENET EPTST. L. Per 2dam fic R ∞ r- 9y - y3. 2 W y, qui ralor in locum ipliusk in reliquis aequationibus substicutus dac pro 3cid. l- ry - 9yy - yt . 31yy- q - W W ∞) 4ca. yl + YI - quy - y31- 2. W WV y ∞E sta. W ID V. Per Zciam fIC l∞s-- ry .1 gyy- 1 y+ = 31 yy- qu L W W, qui valor in reliquis aequationibus substitutus dat PrO 4. sy- ryy . 9y3 +. y5- 4W y3- 2 qy. + 3 WWy. L rW DV sCd. si ry W. 9yyW - -yF W- 3 W Wy y. GW W. L WW3 ∞V. Per qtam aequationem invento ralore iplius W W (aut ipsiuS 3W W), Substituo iplum in locum W W (auE Z W W) in sca xquatio- ne obcineoque scum aequationem, in qua i cantum s dimensio. nem habet, nimirum: WVg 5y8. + 6996 - qry 5 + 5sy 4. + - 997 4 - 5173 - rrgy + 9s) - 927 7 - 917 + siy. - 1, 1496 + 8994 +5 ∞73 + 29979 -- 65yy + qry - 3+y - re Duiralorsijam in qa xequatione in locum W lubrogetur, habe- bicur proipla 15 X. f. 49713- 2rg 12 +699711 + 10F 920- 29599 +- 129+yd - 3 Yt 97 4 10s+ 96 6gr 262 ut 6rs . 2490 30r0 + 493 - 699 - 75) 299+ + 2995 + 49r) I 94 2 ∞3 2937 69p+ - 69+0 7rs+ Ores 6r ∞F 37rV 29925 = 4932 = 2grrs. 27 00 ). Grit D 12 ++15. + 295+94 - 591+ 43 - 6rt tyy - g9+t 16992 69 L + 213) 8ess 99ut 735 + 2913 + 99) 5450 = 1850 + 18952 + 3)+t 1 grst L erst 1-3 grr2 9r+ = r3~ ac autemt a Guactoact, qua suata Resllam erac quaerenda, nempe in qua y delignat quantitatem secundi Permini huius a quationis X X L y X F W ∞O, qua una eA duarum, ex quaruM mulciplicatione Propolica supponitur esse producta, quae que pau- ciores habet dimentiones. Nuncrero inquirendum restat, num haec aequatio dirisibilis sic per y. F vel - aliquo dirilore ultimi Permini - grFF L 13. + rrs+- r3V; Si enim dirisibilissit, erit quoqueW cognita, po- terit.