# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0123 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0123?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 62r, page id 00068194:0123 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=123 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000123.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.96 # 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. in finite magnum solet intelligi quantum salis est magnum Locus omnium punctorum non est totum ntegu In infinito locum habet totum universale, non totum integrale id est de quovis puncto dici aliquid potest, et contonua sunt, id est non potest, ab uno puncto quodcunque ad aliud prquodcunque ejusdem loci per veniri, quin eatur per aliquod punctum ejusdem loci Et tale est otinum plerum posito puncta non esse s in extremo. A Datuo tamen et continuum nenenter intertuptum pt si sit insula vacr in medio continuo. Itaque candiuu A in eodem continuo sunt, si ab uno puncto ad aliud punctum perveniri potest,s nitlum aliud punctum quod in eodem continuo sit attineendo. . 62 sexprioribus propositionibus Propositiones quae in ( libre Elementorum Euclidis tacite sine probatione assumuntur; faci onB qunt majora Tertu In pop. Si duo circuli mutuo habsant centrum in alterius circumferentia, sibi occurrunt circumserentiae in prop. 2. Si rectae extremum unum sit cen- a Tarecta trum circulius producta ex hoc extremo occurrit circulor ferentiae circuli in prop. 2. Si recta sit major radio circuli, et unum ejus extremum sit centrum circuli circumferentiaeejus ocurrit in prop. 4. si duae rectae sint aequales et duo puncta congruentia habeant, extre extremumqu unius congruat uni extremo alterius, et adhuc aliud punctum unius alicui puncto alterius congruat, totae rectae congruunt in eadem. Si duo sint anguli aequales, et latera eorum sint terminata unuplatus unius sit uni lateri atteriu alterumque latus unius alteri lateri alterics ossunt ita sibi applicari, ut uno latere uni congruente, etiam alterum alteri congruat in eadem si duae lineae sint habeant eadem extrema, et non comprehendant spatium, inter in eadem. Si triangulorum latera congruunt se congruent. ipsa triangula congruunt eadem si angulorum latera congruunt ipsi in prop. 6. Si ex trianguli angulo uno anguli congruunt. punctum sumtum in latere opposito, aliud ab ejus extremis agatur recta triangulum comprehen sum sub recta ducta, parte Pateris oppositi intr extremum et punctum ejus cui recta ducta oecurrit in tercepta, et latere trianguli alio ad idem extre mum pertinente; erit pars prioris trianguli