# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0924 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0924?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 904, page id 851387705:0924 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=924 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000924.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 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. dOq CuamoCentri Cravitatis. Cap. V. IB. 200. Ractiorum series indices habent 1, 2, 3, 4, ec. series sectorum habebune indices En 4, 6, 6, ec. adeoque omnium lumma, ad maximum rories Tumptum, loC el doctrinam lubrertum s: multo tacilius, cribus verbis emendallet; dicendo, (pra 3, 4, 5,6, Suosandum (junta demonstrationis tenorem) 3, 5, 7, 9:) quo facto non erit quod reprehendat. Sed de timul videbic, cotam illam quam ille julto volumine De Spiralibus doctrinam habet; eodem Scholio summatim tradi: EF quidem (utur hoc ille non Carim perspexeric) univertalius quam ab ipso tradica elt. Cum enim dixeram, doctrinam illam de Parabolis d l’arabolocidibus, tum ante cradicam, tum deinceps tradendam, Spiralibus accommodari poste, in quibus Cre(CanE M P rectae, in angulorum PM Pratione duplicata, tripticata quadrupli- cata, ec. illud ex caetera extendendum erat non modo ad alias rariones (stricte loquendo) multiplicatas, sed et submulcipticatas, vel ex mulciplicatis de submut. riplicatis uccunque compositas, vel eriam numero surdo exponendas. Ouippe il- lud summatim intinuatum rellem; (quod de Parabolocidibus, magis particulatim, tigura Spiralis, ad Sectorem conterminum; I L’ad 3, 5,7, 9, _c.) vidistet, tum demonstrationi rim inesse; cum, emendato mendo MMCa Ca plode con- stare. Adeoque quam ille prolixa retutatione (in luo de Spiratbus cractatu) vel ance craditum, rel mox cradendum erac; ) Ouemcunque habeat Indicem Series Rectarum MT, (incepruu caccum, lurdumre;) hujus Duptum, indicem elle Seriei Timilium Secloru Lacs Cleporum: Summamque horum, ad maxI- num cories Cumpeum, (hoc CH, tisura Sprate ad Sectorem conterminum,) esse, ut x ad indicem illum (duplum) unirare auctum. Cujus quidem doctia unirertalis, nonnisi pars cst, cora illa quam habet ille de Spiralibus. Oux lamien non laco dicta Tunc, ue, ab eo cradicis, derogacum cam. scul i Ollendam, quam (nec adeo lonsum) quo paltecatul exponatur, materiam subministrare polti sic corollariorum, Ferax generalis illa methodus; cum Scholium illud Unicum justo Volumint. ROP. XXIX Ouxe de Spatio Crcloidali (PrOP. 15.) crac Pallla BI sunt et Spatio Cisfocidali accommocari. Essocidis linex meminit Pappus lib. 3. prop. 4, 5. (pro duabus meciis propor- clonalibus inreniendis excogitatae;) Cujus haec natura. Sic ADa SclICI culus; cupto Centrum, C; DiameteF, A a; cui ad angulos rCCIOS MMLaL CMLV Ducta ubiris Chorda AB, quam tecet C. D e i ea lumacue, rectae Bl aequatis HB; (ret AB = BF;) qua per omnia b Panla incedit curra AbD. Cissoeides dicitur. Pademque eriam utira D punctum eodem ritu continuara (al- ternaco cancum punctorum Bb situ, quae in D coincictun,) ea ct Guata hic vo- Lumus. Cui Alympioca Mt ar recta, circulum in a concingens. Spatium Cissocidalem dieimus, quod currae ABB, rectisque Aa ar, itetsacet. incerminabule qu a ta axtto mmen trnica. Spatium