# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0666 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0666?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 646, page id 851387705:0666 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=666 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000666.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 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. L-P. I. quando expedire ridebitur, pro alticudinibus (verbi gracia) aequalibus, poterie constructor vel Arithmerice proxorcionalibus, vel lecundum aliquam alidus ou nacam seriem erescentibus vel decrescentibus pri.. Hoc est (secundum Mathematicum rigorem) salcem inseribi porest, vel circumeribi, vel alias adaptari, ex hrujulmodi particulis con- Aacum quidu quod ab expoluo differat quantitale intinte exisua, Are quae data quaris minOr SIE. il DOTa; in Circuli Peripheria, ex arcubus numero infinitis, contlabitur curra qua peripherix exaete congruat; sed d eidem peripheria inseriti porest ex subrensis numero intinitis, vel circumseribi ex intinirio numero cangentibus, con- Flaca linea, qua a peripheria illa deticiar, vel eam suveret, ditterencia quae data quaris minor lic. Onde factum ettus ut Circulus, pro Polygono regulari laterum numero intinuorum, haberi loleat. Fc, in aliis curvilineis siilirer Tiem Circuli Plano, aptari porest, sire ex Annulis, sive ex Sectoribus, Figura qua circulo accurato consruar: Sed et eidem inscribi porest vel circumteribi lire ex Parallelogrammis, siro ex limilibus Friangulis tigura, cujus ab exposico circulo differencia, sic dataminoe. Reque in aliis simiticor. Acque hanc, de Indivisibilibus, doctrinam (nunc pastim receptam, acque, polt Carallerium, a celcherrimis Machematicis approbatam) Dro Vererum continua Figurarum Adseriprione, substicuere ritum est: uebreriorem; nec tamen, minus demonstracivam, si debica caurione acthibeatur. tanc incerm detinitionem, uuc Capi V. maxime sublervituram, huic ZV Capici praetiso, quoniam e hic alicubi utui erir. Or Liguando Cirave, per om- nia sui puncta, delignem, ecc. nec velim tamen perperam intellectum iri. Sin Demonstrandum hoc, non Detiniendum, putet gnis; F90 quidem pro ca- tenus demonstrato habeo quatenus demonstrarione opns lic, ex demonstrata ab aliis Mechodo Indirisibilium. Hsic urique id agitur, uc detiniam quo sentu relim hujusmodi quae occurrun incellisenda; quod est Detinicionis opis. Detinitio Contri Cravitaris, habetur in Capire praecedente. atte cetdidn. dimentionem sint aequales: Deque enim illud necessario exigitur; quin, si id ali- St duobus punctis, pluribulre in cadem recta, ut morus Are lusti- neatur: Poteris, circa illam rectam, in veramvis partem rotando tovert, HOM alaS. Si cribus (pluributre) non in eadem recta punctis suctineatur: in nul. laS partes morebitur. Si Puncto uniCO, uE CentrO MOtS, Sustincatu CFarC (vel ex plu- aus conjunetis praribus agoregatum:) Docetse nhilominus in qualris partes, cirea illud rotando moreri; non aas. .86.) Fir. 86. TNcelligatur Crare quodris ABF, unico punCtO NI UE CEnErO mOTUIS LuIEMCHL. Manilestum ell, Planie hoc puncto M, in qualeunque circa hoc moveacur patles, eandem