# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068000:0056 # Permalink to this reading: https://leibnizlegible.com/page/00068000:0056?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 3 # Folio 28v, page id 00068000:0056 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068000&page=56 # Source image: https://digitale-sammlungen.gwlb.de/content/00068000/jpgs/default/00000056.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 69 lines, status machine # Lines: 69 recognised, mean confidence 0.73 # 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. 6 30 362 L e 1 sit tat n= np:a siet tat +2p Mar mn: p es. sia lat pB nc a= pe in n 1b mn seu ibum +um + af am sibnn ita enim fit vv aafF + nm af V= Aap+ppia et p= alas pra Vo + ab = quadeato etiam sic fieri potest et al 2 atm, vel v = at- 4mm MM austip subliahatur puor aquatot a posteriore aase am quod si v rursus debeat esse quadratus, siet afm- 4m = quadrato mmnu, et fiet aa af- 4um =mnn. Et af imm Henc n imsar fit qeq a e ba t W L IM 2 a+ mansaa tum est sen quadtatus 2 , sen b f5+ 2bfa +640 + aCt+ acq 6f5q +M (tiat b= -6a _ + Follitur B, restat s itrodalis et quo goricua habeu semper reperiri potest quadratus, qui detracto proposito A relinquat quadratum. Nam sed L formula quadrati talis est, ut uno aliquo subtracto vol addito membro, maneat quadratus. At hoc N’an procedit in cubor et in quaddgato NBNB si a + 3dab F 3abb + b lade detrahamus 6aab 263 cubus, si redit cubus nam (3+ 3a ab + 3 abb + b3 6aab- 2b3, dat a- Zarb 13 abb - b etdicti rosit X =5 +9 Xa6s)B 2= cubo, Choc potest effici Hinc si X3+ bXX+ aC X deberet aequari cubo oporteret bxxt acx aequari ipsi 6f94 293, fiat 9Py ex, fieret bX+nC Siss t ee, et fat a Ba aCb eY ea Sed X = + +B XC e seu aX teg a seo X ~ af. :9a +B = 6aef c a hec t alc Et e 3