# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068082:0016 # Permalink to this reading: https://leibnizlegible.com/page/00068082:0016?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 11 # Folio 8v, page id 00068082:0016 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068082&page=16 # Source image: https://digitale-sammlungen.gwlb.de/content/00068082/jpgs/default/00000016.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 92 lines, status machine # Lines: 92 recognised, mean confidence 0.81 # 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. et uli C+ b + v- d - 1 - numerus inatsiguabilis, et = - 1 = AB, A b. A Ae. 1Cid = c = 1, 1Hid = d et 2C2D = c= d = b+v- d A1C = e et 2diH = h A, M = m et 1M1 P = p L2d = v -d Triangula 1P1N B oet BIL 2d sunt similia Ergo p = b : m:: e - h: v - d Triangula 1P1g2d su et 2d 1+ id sunt similia vel quadratricis aut similis lineae cudus infenita pd - bd + vd - dd = mh + eh = hh in infinite parvis ubi p.. b. m sunt assignabiles sed v d, e, h inassignabiles, fiet: P.b. n b et si linea sit logarithmica, ponamus esse b. b + v - d.. b + v - d: b + v. seu bb + bv = b+ 2bv + 2bd + st - 2v d + da bv +rbd 2 vd=0 sb2 seu d = bv. 2b an sic: b: b + v - d .. v - d : + utqu linem fit sed sic rejiciendo ua secendum ener seu bd = bv - bd + v - 2vd + dd atiqu inter b et b+ v.d sit recta, seu v= 2 d erit etiam differelitia inter vea et pl, seu n 24, in assiipabit an sie: ut servemus voidendum esset an plus aliquid lucraremur, si prius ex aequationibus C et aveait V- d ope aequo 6 et pro v- a scribendo 9. feret bd- 6844 vaet est quartitus, et bd = bg + 49. seu 9 = sbd + bb - = b. acta e in ipsiss clu fvd olerecur et ex O et D junctis fit p- b4 = b - b +9d - tt quos duos ipsius 9. valores el. g = p d - bd - hh : p - b - d aequando habetur novissima aequatio. Sed quia hic in ipsis in assius natbilibus aux lia evanes cirumt in essine ubiciti Verbi grataa quaecalu Patio PN: NB per solas b d, h eCa et relitio inter P, N: 1NB PZN: ZNB, P3N P. 3NB cujus ope investigetur quantitas alio artificio, opus est constant oolo Conss homoschetica constans vel casus o coincidentiae uid si sic percedamus ut polygoni B 2 d 1d, et B2d) (1d) quaeratur intesectio et rect .. f..) s it eD vad videndum an inta m oscutans Logarithinicae pv - pd Bbv + bd = em = eh de - ebe p - v. v - d= em md acta io infini xa 6 fiere bd = bq +49 et ex aeqg. dict G7 tensumtandi aequationem Cab Ergo b. p - b + v - d: m + e - h :: h: d reusus et ruisus d p- vd - bd = mh d-vid iq seu bv - 2bd = op seu v = 2d vd sit Vd= cd et fict b = v. d. Ergufirt: 0 est. puncta habentur, obtineri possit ponamus jam esse e= 2h us seu in inassignabi est quaentitas inasignalitius v. d e ......... C. L.. (2C) 1C es restae se intersecantes forte 1d2d et (1d) (20, praducantur asque ad axem, 1d2d ad et (1d) (2d) ad M et ita polygonis continuetur, et quaeiatur LM omnium possibilium minima et 2d- v = veo-do legem hymogene cum:s essignabic quant e infinctis sa imle ax 1dy = e lam