# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0422 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0422?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 416, page id 845634801:0422 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=422 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000422.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 95 lines, status machine # Lines: 95 recognised, mean confidence 0.85 # 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. V ARFORVM DE REBVS NIA THE M AFFCFS Anouli acuri vel sui exrerioris amplicudo est pertottecta. Semtetameter canonica circuli datur ex se, es constiruieur pariteutatum 100, 000. L. a cera crians uli reliqua in unaquaque serie casaneur in isdel, et quaecunque lerupula qua Iraque ablolvitur corus Machematiens C.anon ter Mmous planis criangulis rectansu lis 2700, quor ridelicer scrupulis constat dimidius angulus rectus. A quo syllemate deinceps convercuneur eriangula, qui enim angulus dicebatur is. quem acurus relinquebar d recto, exindenomen Aelerautumic; alcer iple nomen R liquie recto. Arque ideo Balis in Perpenareu cransic, X vicererta P’erpendiculut in Balin, ue Pola opus sic vocum permuratione. Oux ur oculis Georerrice subjicianeur Exponarur circulus cujuS E cenerum, quadeitectus d auaBUS diamerris FFG, HE L 8 in quadranre circuli FIG CUIATE qUZ CUnGUE PCripHCtHA C M, e cadane in Cemidian HOSEC, E HI perpendicula M H, M L. Sed e lateat circulum ad M recta M N, quad 416 scurelidua. Disterencia aurem inter eam et amplicudinem anguli recti, dicieur complementum; continuarae lemidia merri F C, F FY seCenE in N, O. TriaigituriM conspicuo lune crian- outa plana reCtangU la similia, Primum ER MI (CV MLC, SC cundum FM N, TCF eium OME, lacUS U num F. MI, commune habentia, quod qui– dem primi AE FIypo renula. secundi BaliS. cercii Perpendiculum. quando vicelicet an gulus ME K, cujus amplicudinem peri- pheria CMI detinic, acuri nomine exaudi EUE. Idenque laLUS commune F M con Ricuirur CemidiaCTCF que CH bitariant L. Peoret L Panclus pet qua ciique peripherix C I segmett id est ex instirura parrictote, per tenaseluta quacule parrium quadragenaum qu narum scruxula, quae sune loca 2700. Fxcoiidem exhibica cerna similia eriansula ctangula. Punetum Mmobile contiltic in l, quoniam ab eo ligno idem eltproereslus rerlus qui regrellus rersus C. laque M H converticur in quandam MC et vice vecta, ut vercenda quoque sc Pola denominario lacerum vel angulorum. POrEO ExpOLIISLLn LC BIS CILa HSIIHS LCCLAHSIII E. K M, F. MN, OM L . quoque in expolico schemare cernuncur rriangula rria limilia M R N, O L. M, OL L evidens tr ex ipla constructione. Vi deantis circuli Congrueuer. circuli. Canon isitue Machematieus adsumic latus F. M parelchlarum 100, 000. leclu Linearum rectarum ad circumferentias relatarum notario. LE de Cano- nibus sinuum, Facundo, es Facundissimo seu Tryponus ta Inearum rectarum ad circum terentias relatarum, duxe apud Ceometras reperium species, inseriprae de circum seriprie. Interipia perrinent ad circumterentias ab us il cenla5. ten Sive Tiar Sele y midi Phes com Plem ideo adeo Rin Hera alle PCaE Eeru liculi Cerip Paco Pras Quan veler nom eon meri vero ligu UEII riaru Pune cireu l05V Dear deru circu exo CerrI babe