# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0290 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0290?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 284, page id 845634801:0290 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=290 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000290.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.90 # 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. Boni e octogoni. Ouare secerur circulus BDCF quadritariam à duabus rectis BC, Tele ideo normalirer se cantibus in centro, eE sumacuE DF latus hexagont, a ploul DF, AB conveniane in C. Sumatur quoque larus octogoni DK, cuiprodncto ipla A Occurrat in L. Jam aurem invenrum lc lacus hepragoni quod quaerieur, contensin. TEFDK, DF, _E GFDM, quod productum intercipiaFGL in NI. Dico MechaMCHSLCc L. N, NC eNC aequales. Leaque in syncheH datam GL. (prOprex daTAS DR, DF) (ec aDBbI Fariam in N, dc ducta ND secance circulum in M, extribuero DM ut lacus Heprasoni. 264 Latus enneasoni circulo inseribendi invenire. Sub A cenrro incervallo quocumque AB describatur circulus. Oporreclatus ennea num consiltic aquidictans ab iispari angulorum numero. Danrur aurem coode la tera e octogoni _ decasoni. Quare secetur circulus BDC F. quadritariam a duabus dia metris BC, DE. Cescideo normalirer secantibus in cenErO, dE lUIAEUIE DK laruS OCtO5O. ni. e producte DK, AB conveniane in L. Sumatur quoque lacus decagoniDO. cur pro- ducto ip(a ABOCCICACMIF. Jam AUCEH LHVEMCMI HE TaEUS enMeAGONI quod queTEI soniei circulo in scribendiinvenire. Ac veroincer octogonum de decagonum enncaso conlittensitrer DO, DH ClF DO. quod productam intercipiat LP in R. DicoPR, LL ee aequales. laque generale ese in omnibus laceribus polysonorum, ue cum ab D limicu sumentur lacera duocum polygonorum aequidistantium pari angulorum Dumeto à Po 8ono de cujus latere quaericur et desinent producta in linea AB, pars linex AB ab iis M incercepra secabitur bitariam à lacere de quo quaericur ad eamproducto. Ieaque in syt cheli daram L P proprer darasDO, DK secabo bitariam in R, e ducta DR Secance ct culum in O. exhibuero D Ouclacus enneasoni, et eandem mechodum in reliquislata Placearramen quam ea merhodus aberrer d vero expendere. Id per CanoncM Mache maricum accebit. Coulachim AC linucoro, latera AB, AC, AI, d L, a13 AR, hunc prolinus, numerive Caecundi angulorum qui ad D in criangulis eclaBB BDA, CDA. IO LB IOR OOCouNE. Anguli aurem illI CAMEHE P prec dacas ab sumpras ex dimidio circuli ambitu DE circum terentias. Itaque da bunta quoque protinus ipli, acque adeo prosinuum differentix. ribus constanter obserravero. Ersi vero non demonstranri vel paralosistice demonstranti sides adhibenda non eta