# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0476 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0476?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 454, page id 175905688X:0476 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=476 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000476.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.76 # 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. 454 LOM A NHIS HIUDDENIT CeTST. L. equatione Luperiori - 2 93 + + 1y - 2 ∞ O, UbI PTOEInUS apP2. ret y esse x = 1, adeoque li ipla diridatur per y. L 1 ∞O, obti nebICuF = 277 F 27 = 2∞ 0. Cujusradices quomam (unti possibiles, Polum Luperest y ∞ = 2; 2ded uc dirisio aequationis Propolira rentanda (iE PeL NX = = FN Y∞O. Sic de ihabeatur aquatiOx L 2 ~5 F3 ∞ F- f 2 x 3 f 2XX L IX F 100, comperietur ejus dirisionem fieri posse beneticio aequationum jaxca B, ubLPIOUnAIAVeNITUF 27γ 57 + 3∞O, eF prO AlteI2 y3 4yy +Gy = 2∞0, e pro communi dirilore y= +∞O. Et quoniam Z est ∞= D Z, exit nx L yX I Z∞O∞XX L. IN L 1∞O. Per quam isitur si Propolita a quatio diridatur, hiet pro quorien. tC x + YX3 FN X Y - Y∞O. Si aurem detur ae quaciox f 2∞5 2x + Y ] LNX L L4X. f- 2300, in quar esto, oportet iplam examinare per A, B, ee C. Inci- piendo aurem ab A, loco aequationis Z C + PP43O invenicur. DC aLoCoGaC . IMIreNITUE CadCMI fL00. Lx Gla. qua cese co munis dirilor est, radices inrenire oportet, quae Lunt Z ∞ 2 . V 3. e Z∞2= V 3. EInde cum y sc ∞ P, hoc CA, 2, PrO X x L p X =Z ∞ 0 obtinebuntur hae duxe x x L 2 x ( 2 V 3 ∞0, d X X - 2X - 2 = V 3 ∞ 0. Per quasigicur si Propolita xquatio dirila fuerit, comperietur iplam produci posse mulciplicatione MaLUM ErIUM X Xf 2 X ulto d Z ii f. 23 0. ca Pars.