# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0117 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0117?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 59r, page id 00068194:0117 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=117 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000117.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.90 # 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. Cdud qae libet Continens est unum in quo sunt multa. sit continus , aeenltie A et B, et quid est in L, voceiu L, eri tunc et A sont in B si A sit L, et B sit L, etc et omne L sit in L, erit L continens, A, vero et B erunt contenta sint in L, duo L nemipes A et B nec possit A assum in aliquo M existente inL Rom onetu quin possit etiam B assumi in aliquo tali ut M et N habe ant aliquid commune, en qu s fis positis dico L esse continuum et omne Pe sit L. liciam autem Si omne M sit L, et omne N sit L, F omne L sit M vel N, Erit L contri et M, N erunt contenta consufsicientia, vel erunt constituenti integrantia Dua continur, constituentia consufficientia habent aliquid commune sit consinuum L, erus duo constituertia consufficientia, sint ut rvitri sc ponatur et nihil habere commune, in A a assumiatur utcunque Ai et B in B A non est in B nec B in alioqui B et haberent ari quid: commune controa nyp. Sed quia tamen A et B sunt in L continuo, aportet dami posse A in aliqua , et B in aliquo N, sic ut Met N habeant aliquid commune A Ipsum commune MN, non cadit ex _ et B simul alioqoidum hyarent aliquid ommane contia hiy ssis smsi o titum k, M2, AK, _2 + H aon = non H, N non 9 uon B set issicito ti ibirem e proestate continnum sicdefinin, Continuum est cujus duo quaevis constituentia integrantia habent aliquid Commune sit continuum L et integrantia ejus sint n et N, dabitur aliquid MN, et vicissim si duo quavis M et N intogranti E h. veant aliquid commune, Hina non possunt afsuolari pun duo L, nemp vedat A et B, quin en smto B. inprontinuo plum L continuum erit si in continuodentur A et B, et e quidem in M, duo poterit reperiri N continuum ipsi M, in quo sit B. tale continuum N, erit quod supererit in in in M si ab L abscindas M, et quicquid praeterea volueris, quod neque M neque B continu at idm N