# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068124:0253 # Permalink to this reading: https://leibnizlegible.com/page/00068124:0253?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30 # Folio 126r, page id 00068124:0253 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 125v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=253 # Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000253.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 104 lines, status machine # Lines: 104 recognised, mean confidence 0.70 # 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. - 1, 273, 4, 5,6 25t162412 Z ) X2,27 2 4. 2326 5 1, 2, 34, 5,657 204372 similiter pro extroctione radicis cubicae erens 12. 8 erit -4 - 12 -24 - 3 ECa -01 - 112, - 241 3t ut per 8 + 10 it 123 177+ 1145 fei + , - 1 115 +. 135, d 72 1 558 1724. 6 1333 Eti 3 -8 +2, 5- 2 5, 8 1oi, 9 17. 27 12 Si .- 51 1 - 14 2,58,11 3 235, 5, 293 1237 5, 8 9023350039410 10 FC L 21 312 a- 2-51 a b + 2722 a b+ 2a n nominatores progressionis Geometricae triplae, et ita porro. Quare utia est in numeris adhiberi algorithmum dyadicum pro extractione radicis quadratae, ternarium pro extractione radicis cubicae. Et nihil ominus semper apparebit ratio transferendi ex una in alteram, 1 +1 1d C)) 8)50bC sit l+ e. cujus cubus l + 31 e + 3le + e. dividatur in duas partes l + 3le, et C + 3e l. ex quibus prior fiat aequal. a. posterior aequal. b. et quaeritur (7) a + b 21 0500008 et 02aequ. 010 m +n. aequ m + 2mn+ n. sit maequ. 1. et n aequ fiet: mn aequ, 1 + or + 001 aequ 1. jam, 2 aequ 10 fiet 1 + 010 + 001. aequ 1. 011 quod est quadr. de 1. 01 1+01 sit seu + + et 1 + 0110 + oi ( 1. + 1 + 0b1 aequ AB. t 1001 00 1 1 potus sic. Maequ. 1. n aequ 000c. 100 1100 ( +qu. V + 0010001 aequ. l _ + 00010001 = 000 30091001000D1+ 0000000VVV1001000110001 3n-q 100 100 10 1000 1 +001+ 60d 00e1 42 - 4 - 5- 7- 13 410000001250000 888 0062500000 P a Z aequ poihrru 0 fr 1. 0. 0 1 ErDI. Q aequ ool 31 000 1s 0000l 128 1 00000b 811 004 Xi. 672 600e ∞d00 2,3-3, 3- 43.5 36,6 6561737 00+69 1403 d +10000d00000000000000 +0000500000 0000000 125000 525 H 6000001 1010001 1. 000000000000 00004SIIOII 0000100 .0b10b1 101 tt 2.7 19683, 3 1. 00l 0101001 1 lberet esse 1, 01000000300 set a aqul et baqu = sint (1 = L - - + - 5 128 aequ - 1 1100101 0 L0 V l 4000b+81 10 7 256 l qu0. 256 0000000011 01011000001 000000 M a 00000014∞ 11 0000000101 00r101 1 6 3001010001 1000001100