# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0161 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0161?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 81r, page id 00068199:0161 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=161 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000161.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 140 lines, status machine # Lines: 140 recognised, mean confidence 0.69 # 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. sit eniu a ser fiet et .2 et dividendo per fit: fil frent 2e eh inte n -h 2X 2h X (6= X 1 4 b p 2C-n v2h X e st a 2e-n + tig 2h 2 b In.2 eM n-2C e aequ. quadralo ab M n +se 1 1en. Pe Si 3C In. 2 Le L +ib A s In: 2 c+ 2b rC-n V Non sic fiat v- v A 4 b n +1) (2)28 n. W F bc X X + 3 e u 2 fee X + b = quadrati fa2e e d e 2 A in 2 ten q n-2B Ah p X et fiet J2n Ln -2C- h+ 4 se fiat 2C - n + 2fY m ZCCn M 2C- 1 et tit e = 4nY. seu a=A AC n = 1 seu et res est mirifice nales V 1+ n reducta ad ratio– 1Y 2+CX a ut ton omnimm dilus XX= a:q quad. per circa vel Hyp 0B. e X + ex tbx = g. dy a+XX b aqS et cue eu X +D = yg:a) Eorum satur quadratu communis Xxtor= gu cormm datur XXX+ bXX = ays X bX =aayy X + b = y. aa XX+bx = y3:a X +bXX = y + bX3 = ae ay Quadratura vex communis vel per cire et HyP 5 videnium an X Yx +b santur duo primi terminus ysy fialax+b= a pas seu LRL:a xba a quaeri f9dx dx = 29dZ: a dy = 2vdv: a Xsydx = (vv: a 2 jam ex aeq 7- abZ = v, fit u di vaerituu su syyva e L yv. lia v: a du = abdque = = Vvav s in horum quadraturae possunt inveniri A iis Ex X +bx = ge Reta pe ces Dc21 D dy: a L ny - ab vdv. a a XX+ b LLgy 4 horam omnium datu X 3 asq dimensio t +bbpxX = aayy en ert