# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068016:0060 # Permalink to this reading: https://leibnizlegible.com/page/00068016:0060?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 19 # Folio 30v, page id 00068016:0060 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 29r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068016&page=60 # Source image: https://digitale-sammlungen.gwlb.de/content/00068016/jpgs/default/00000060.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 56 lines, status machine # Lines: 56 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. eodem calculo infinita alia problemata specialia exculpere licet prout literae non unjicati tantum ed et β. V. t. d. O. 9. modo unitati aliqe numeris rationalibus aut irrationalibus integris vel fractis, positivis aut negativis id est sive signo + vel minus affectis aequales determinare ponuntur imo possumus ponere literas non tantum aequales numeris, sed sed et eas aequales numeris ponendo sed ponendo aliquam earum relationem literalem inter se et ad datas. Ex his problematis infinitis sub hoc calculo comprehensis multa sunt, quae propositis ab autore non cedunt vel simplicitate vel usu. Exempli gratia hoc problema: datius reliquis ut prius; dataque ratione inter aggregatum laterum circa verticem, ad eorum differentiam et differentiam laterum circa verticem invenire triangulum; etiam in calculo nostro comprehenditur. Nam faciendo β aequ. 1. et Y aequ. 1. et q. equ. 0. et d aequ. 1. et D aequ- 1 ett aequ. 0. fie erit G+ y ad Z. y b ad c. alia lmirmodi problemata ex calculo nostro derivare. Possem multa alia enumerare, quae in si vellem horas perdere enumerare, quae eadem opera solvantur, si quidem id tanti esset. Altera Classis Probleniatum que Caetera Problemata inde a quinto usque ad ultimum, omnia similiter sub uno eodemque calculo comprehiendo, qui generalilter sumtus es indeterminate sumtus assurgit ad solidum quamuis certis casibus planum non excedat. Calculus Nimirum datis reliquis ut prius ponatur ratio C ad D composita composta exrationibus cum ratione ex C ad D ad composita aequalis rationi datae; ipsis C DY. eo mo Y et ex B ex Z. y. compositis quemadmodum supra diximus de C et D sit planum compositum ex sit praeterea latio b ad c. data aequalis datae rationicuorum planorum; compositorum 8. et ex quadratis laterum circa verticem utcunque multiplicibus rectangalisque ipsorum in se invicem et in alias rectas ductis, atque aliis planis samtist, compositorum: eadem sulecet quae est atio. quaeritur tiangulum + pe