# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0136 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0136?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 68v, page id 00068201:0136 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=136 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000136.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 111 lines, status machine # Lines: 111 recognised, mean confidence 0.75 # 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. (i 2 fiei b+ n + 1b+ pB + 62 B v + ap B3 + 6 PV + 4p P + p 2) -bdf. - bdp videamam feu, opt. + 8P B3 + 8 P V p +b dB _ s 3p Ergo usierem aequ qui dabis. (23) e 27bv + obp p v - p sive b v- p fiete Py v +b et P7, v 3bB 4 3b p B sive: 9B ob B Aetr Aoq. 24 t Sed ita aequatio ultima nimis alte exurgt. 4) ut aeg. 21 ponamus b d V + bo dp = 4b pB, restabit)e extahendo ubique radicem quadratum. () e +b V + bp B V + p. ubi notandum in aequatione ad crculum nullam ese mentionem ipsus f. d Aliter factamus: inde valorem ipsius V investigemus. 20ba4 B2 + - b dpB ex 24multiplicota quem valorem inserendo in 26 fier. 28) (+46.).. 1dx aeb per v +b D F bp p - b dp P + p ram p d V B p, - Vd P , ex 2F quem inserendo 9 bud + 4bp fiet. + b2 d P + bp. ut bdrarp. + p V l op. 18ff2 b2d +4b C in 27 et ablata fractine. +bd P 4 8d p + 16 b3 d p, f 6d p= 1d. p + a V3 pl, 4 c q d. p + 5dbpt 4166 o p p = dx 8d p F 16 p Sive p3 ex 486 d. pr e +ed p + s do b ppo ab.. + db... 29, 2609 4 8A 3. h F= db.. enZ = 1+Z = E iuc Z X- l. Z 18 + 2b.. + db - 20 216 + 2b2 + 36 sd 2b L 1 1 I0. De Videanus jin seui quadratum abmisse ullimi, sit mari ubo hientis peunttimi fieri nempe an aess tempe 46 gu 43, + +b +d 1V + 5d b sem ponendo L1. 4 + 8 A 266 L 27 2916= 54 a in 1229 e 356 14 d 62 1296 18 = 361 B + 5. d (2 e +5 5dI, + V = b5 d, fb4d. 729 = 243 486 486 9727 N - d + d b = d b = d36 64 4831 48 216 216 sed non omu but calculo ad osterdendum, quod quadvalum sit majus cubo, nam ponendo + esse- tunc quadratum est atfimusitivum cubus negatious quadrati optrest ergo tantum, ut quem fecinus calculuus iin nuneris resumanus, aec dedus senritite ut de ejus exactitudine securi simus. Unde + 73 56 27 ponendoz P efer: der itis ipit itg Ei 274 2 2 54 b 278 13 5d6 324F 34 n9c n 29) I n 8 5a 4