# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067992:0040 # Permalink to this reading: https://leibnizlegible.com/page/00067992:0040?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30 # Folio 20v, page id 00067992:0040 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 17r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067992&page=40 # Source image: https://digitale-sammlungen.gwlb.de/content/00067992/jpgs/default/00000040.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 48 lines, status machine # Lines: 48 recognised, mean confidence 0.87 # 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. =hacenus seu(X+ y) (x-y, justitiam; quae formula e nihilo aequalis; altero modo observatur justitia m aequatione si quidem aequatione ad formulam redacta anba literae nontractatur actu ipro eodem modo; quod tamen duna nunc factu efieri pt d altera et vive versa quod contneit simplici mutatione sionorum. Itasi sit XXFyy=0 interx et y perfecte lex justitiae ob, servatur; sed sisit XX +X = yy +y tunc redacta aqua tione ad formulam fit +XXFX O, ubi alitet - yy -y factatur x quam y, revera tamen amba litera parijure utuntur leve justitiae non nisi inspe, eiem vialata; quonia pari jure (mutatio sionis) facere licet +yy+y -0, quemadmodum XX =7 si ex priore Xx+ yy = a a faciamus Xx = aa - yy lex justitia etiam in speciem tantum violatur seterum etri quantitates earumque formas simpli, viores vel etiam Sd mulas maois compositas pnimus tantum formavimus explicite seu actu ipse, por sunt tumen d forman um plicite seu indica, sunt. tive, nam Caepe cum formulae in se invicen du cenda psentim ubi sunt mavis compositae e t tum illum non actu ipso pagimus (quod quo modo fieri abeat ptinet ad explicationem operationum) sed tantum faciendum ee indicamu Voluti si a idem sit quod xty et b idem sit quod X- y erit ab idem quod Xcy, X- y seu XL y X y. mo psen Anec ve sut si habera trianguli sint s ares formula et idem locum habet ut sica sit +x+y∞d, et b sit +X + y + X; quorum no se in vicem duotorum rudi et nnom sit t antm et ipsa C sit ax + y+Z et f sit 4X + y+ Z. ita ut t, et priores sint dissem aia deccessus duorum luterum super ertiam; quarta quan quadratum fitas sit summua; reperietur raedicem quaoraticam ex quae suoi invicem fovit is dinca seu dimidiam