# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068016:0058 # Permalink to this reading: https://leibnizlegible.com/page/00068016:0058?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 19 # Folio 29v, page id 00068016:0058 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 30r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068016&page=58 # Source image: https://digitale-sammlungen.gwlb.de/content/00068016/jpgs/default/00000058.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 66 lines, status machine # Lines: 66 recognised, mean confidence 0.91 # 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. Sed majoris adhuc momenti sequens observatio est, serviet enim tum ut ut Geometrae. anihil his facilius esse moniti abstineant imposterum Goata proponandis tractandis. hujus modi problematibus nisi vel opus illis habeant vel singulare quiddam atque elegantess earum constractiones in illis equiddam illis deprehendants Niminum tum ut moniti nihi tum ut appareat millena problemata, quae separatim proponi possent, arte analytica ad unum calculum revocari. itaque observo problemata duodecim a Geometra post tabulam latente proposita revocari posse ad duo generalim quorum unum indeterminate consideratum prius est planum, posterius solidum ondeterminate consideratum est solidum Sub priori continentur problemata primum, secundum tertium quartum, sub posteriori reliqua septem. prius problema generaliter ita concipi potest: Data differentia (posses et summam addere) inter intervallorum inter punctum quo perpendicularis basi occurrit et t duo baseos extrema, dato item angulo ad basin alterutro, ac denique data summis vel differenti ratione duarum quarundam rectarum O. ex duobus lateribus circa verticem vel eoram multipt, utcunque multiplicibus assumtisque rectis datis utcunque addendo vel subtrahendo compositarum; invenire Triangulum. Calculus itaque generalis erit hujus modi antam erit hujusmodi. Sit Dato angulo ad basin A. dabitur ratio intertres rectas AB. AD. Bd. sit itaque AB vocabimquet rectas, AB, Z. BC, y intervalla autem seu segmetita majus l AD, v. minus DC, X. Data differentia intervallorum vel segmentarum sit a fiet (1 ecx aeq- a Porro dato angulo ad basin A, (perinde enim est in calculo generali, quam eligamus detur) dabitur ratio rectarum AB, Ad. quaesit eadem cum ratione d ad c. rectarum ZF Z datarum, ac fiet; reqe (27 eq vaequ et rrnndna et constructio em facile habetur ope circuli et rectae Enpo u est pt +pr im rraa st rr toiZ tz-rraa drr dum Fdata differentia intervattorum vel segurentorum sit a Flatera cirt verticem