# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0687 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0687?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 667, page id 851387705:0687 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=687 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000687.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 68 lines, status machine # Lines: 68 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. PcOp. L. Se culm canr ctadiutis. Occr et es eA AB 1S C IL 5. LV II. YOcandum hic, (quo rectius haec incellisantur:) quod H Porestas quaelibet se. L. N cundum quam series instiuitur, (unde et Indicem sive Exponencem detu- mit,) per aliam cujusris seriei voceltatem mulciplicetur; Poceltarem Facie cujus Index sic Axgregato indicum utriusque aequalis: Vet Index Mulciplicata, tanto augetur, quancus est Index mulciplicantis. Vr X a= 0 = F a x f + = 0+ a X a = a x a = a + 3 = a = a 3 = a X a = 2 X a = a. 0 + 4 = 4. a X a = a 2 + 4 = a X at = a. 2 F 4 = 6. Ouancicares. Indices. Onantitates. Indices. Ouanticates. Indices. Sin per alteram Poreltarem Diridatur Porestas aliqua; Oritur potestas cujus Index lic aequalis excellui Indicis porestaris dirisae supra indicem poreltacis divi- dentis: Vel Index Dirita tanco minuitur, quancus elt Diridentis Index. (Adeo. que si hric illo major sic, prodibit index NegatirS.) VF a) a CF 7 2) a C 4) a (a. a) à (F. a) a (= 2 - 2 =0. 2 -3 = 1. at) 2 (=. Ouanticales. 1= 4 Indices. a) a C F. Ouancicates. F, 4 = 3. Indices. a1) a (. Ouancicates. 2- q = 2. Indices. Si irague intelligatur series poceltaris inferioris, per seriem poteltatis Tuperioris. respectire diridi; (hoc est, terminus primus illius, per primum hujus; secundus per secundum, etc.) orietur series ex Reciprocis aliqua, quarum Indices sunt Ne- Bacivi. Si cui incerim haec minus aehue explicaca videancur: Consulat, si libet, nostram Arichmeticam Insinicorum: ubi futiss traduntue. eulsi C LCL. Si intellixatur intinea setes Ouantorum, ab l cape serei (pula cocidet c auau eaesa eDMluS, ad Indicem lertetMl auctum. Idem continget, si, omisso termino primo, leu o, Series a lecunus termino incipiat; seu d quovis termino qui sic primo et secundo in- EPPDZ termedius; 0 vel 5) inchoatorum, e continue procedentium secundum leriem Primanorum Secindanorum, Terrianorum, ec. Subsecundanorum, Subtertianorum, ec. aliorumre modo detinitorum; corumre RC ciprocam: quorum ultimum datum sit: erie torius rario, ad seriem