# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0688 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0688?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 668, page id 851387705:0688 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=688 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000688.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 69 lines, status machine # Lines: 69 recognised, mean confidence 0.82 # 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. e enam ir ceraitatis. cermedius; Puta s in serie Primanorum (cui reliquae accommo- danda intellisuntur) terminus primus suc laltem non major quam communis Frcestus lexiei. FEE CMO e Oca: Intinica Peries ejulmodi Primanorum (qualia sunc, parallela Plana in Condcide Parabolico; et Rectae in Triangulo, Bali parallelae, _c.) cujus In dex elt F: Fst ad seriem torhdem Maximo A:qualium, (Duta, ad circumleripeum Conoeidi illi Cxtindrum, auc Friansulo Paralselogrammum, aeque aleum: ) UE F Ejulmodi series intinica Sccundanorum; cujus Index est 2; (qualia tunc va rallela basi Plana in Como aur Pyramide; vel Ordinarim applicarae in complemento Parabola;) ad coridem maximo Aqualia, (puta, circumseripcum super cadem bati Cstindrum vel Prilmna, aque altum; auc circum leripeum complemiento Para- bolx Parallelogrammum;) ut X 2d 3 Ejusmodi serres intinita Sublecundanorum cujus Index elt Z; (pura, rectarum. in Parabola basi parallelarum,) ad coridem maximo aequalium, (puta, ad Patal. Leloprammum luper eadem bale aeque altum;) ut F, 2C = Z F T: TIVC UC 2 ad 3 Ejulmodi series intinita Subrerrianorum, enjus Index cMt Z, (puca, rectarum in Parabolocide cubicali,) ad cocidem mazimo aqualium, (pura, ad circumserip. cum ParallelOSraMUI;) NC X ad 3 = 5 F L: live, ut 3 ad 4. Ec Similiter in iltiusmodi aliis innumeris. Trem in Reciprocis seriebus: Puta, ejulmodi series cujus Index sic - Z; exir adt conidem ulcimo A. qualium, uc 2 ac = h + F; Are ML L ad Z; vel 2 ad L. F.L in reliquis limiliter. Per noltra Ariihmeticae Insinitorum PrOP. 64. 202, ecc. Idem continset, G, pro serie Primanorum vel 8. 10 12 ec ec quae repraesenter Piguram Inscripcam: Incellisatur Series, ve hoc elt,s ut X. auE Ctiam 3 Hoc est, ut F. 23 7. ec. 3 10. 12. 24. 8c. quae repraesentet Figuram Circumleripram: re 32. 43. 52 62. _c. d. 1TI. 23. Ec. 43.(53. 63. ec. 10. 13. 26. 29. _c. quae repraesentent Figuram incermediam; puta quae sic parrim Tuscripta, parrim Circumseripta; adeoque major quam Inscripta et minor quam Circumleripta DuipDehx omnes (acque horum similes) dummodo series Intinita incelligatur. cantundem ralene, (ueut in Serie terminorum numero Finicorum secus (L:) PEx Schol. PrOD. 182. Arithmet. Infinit Ouodque de Perie Primanorum dictum est, reliquis Scriebus quae sunt in Dri manorum ratione Duplicata, Friplicata, ecc. Subduplicata, Subtriplicata, _c. auF alias compoticam accommodandum exic. SC F7O L ZV LL. Vocies, in lequentibus, ferierum hujusmodi mentio tiet: quarum astimatio ex Lhac Propolitione depender; incellisendae lunc series illae, ab ipso capite ordiri puca O rel S; et dato cerminari. Ouod eum in propotirione una aut altera ex presse dictum Tuc; idem in, sequenribus incelsisendum erir; (nisi concrarium insi- nuetur:) uene, quo lonsa veriphrasis ericetur, (quae propoliionem, alias Fortalse lacis implicacam, perplexiorem redderet,) illud ditercis verbis non dicarus. 1L1911 Slbis. 1Z, (13 es 1B 15 C1 V1IIC 1) B Cstt C Baret S BBEE HSI OrIEC Occese c sii olosrit B cetiere s) sis 1It. d Cap. V