# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0077 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0077?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 39r, page id 00068255:0077 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 41v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=77 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000077.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 101 lines, status machine # Lines: 101 recognised, mean confidence 0.84 # 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. invenire duos cubos quorum summa sit quadratus 9 f. C. d. C. b. a 9. f, C. d. c.. b. a ag ap amam- al ah ay af ae ad ac ab a bn bn bl bh bg bf be bd bc b ab e L9 ef. t ed c bc ac. du d de D cd bd ad ey e e de ce de et d c b as 9 des c9 dy ag dEd E de a cd Edc = Ebc sd + b = c b tc bb + cc = 2bc b +C = 2bc a ai ah ag ap bh bg b5 eg Ct Dag at F ab X tbf 2abfg si b est 0, 9 est D si b est 1, q est 1 erit 9= 8 itaque abtb dat in sua columna o in sequente b velgo idem quod bte summandum ac + b si licet. si a t 1, variare possunt b et c si dt b = c b+ C fit 0 in usi opposic tit sin inaequales 6+C est in colmua +b+c otum b+c - 2bC. in sequente columna solum apparet cum 1. cum b et C simbi ergo in eam braisfeelus bc et e + d bd + bc fiat in col. data bd + bc - 2bcd in sequente bdc, ac+ de fit in col. praesente aetde rade et in sequente ade b+c est in columna praesente b +c- 2bc in sequente b+ c + d, est an columna sequente praesente b+ c- 2bc + a 2bd - 26d + 4bcd seu bread. 2bo seu b - 2bc + abcd in sequente columna bc + bd + cd - 2bcd Ergo b b+ c+ d in col. data dat in columna data b b+ C+ d - 2bc. 2bd - 2d +abcd, et in sequente bc +bd ted 2b0 ad jam quaeritur bcu e +d b+ c +d+ ergo in data columna sit brcqd fit Y, b 2bc + abcd + C =2be - ide +4 fbce 14 bde + 4 cde = gbedC seu b = 2bc +. 4bcd 29 de et in sequente columna stgom on una praeter be - 2bcd accedit de -ibee t abide sit bc 2bcd qabide. Sod quia hoc modo haec colum in A evanestit, ideo faciamus columna sequem ista sequente bc = 2bcd + 2bcde, ita si absit ad sit C Li red evaneseit te ventoum sit d. cint fentui bede tie bide 4b cde 26-de 26d 0