# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:1033 # Permalink to this reading: https://leibnizlegible.com/page/851387705:1033?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 1013, page id 851387705:1033 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=1033 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00001033.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine # Lines: 64 recognised, mean confidence 0.91 # 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. Cencro Nocus M, in Axe ultra A continuato rotari intellisatur: Pon dera CrunE (uE prius) ut LP, XP CP, TP, _c. Peries Aqualium: C0. lexitates autem, ut Arcus deseripei, scu eorum Radii; hoc cM, ut Di- Ctantia ab M; seu recta complen. tes Fraperium ACCB: puta ut aC aC + FC, aC = 2C, aC = 3 C _c. Scrieo Aqualium aucta Sorie Primanorum. Adeoque Nomenta, seu Vires, aut librx Graramina, (propter Pondera inricem aequalia, UE aC F, a C P + TC P, aC P f 2C4 aC F = 3CP, _c. Teries item A qualium aucta serie Primanorum; Peu ut exdem recta Fraperium complentes. Per cujus itaque Centrum graritatis E ad AB latus crapezii ut L ibram axplice cur VC; erit V Centrum Aquilibrii: Et simitirer, in V, secto axe A B, erit V Cet trum Virium; urpore rectis illis proportionalium. l Incelligatur demum AB Cuneus; seu APercutus Friangularis (aequabilicer crattus:) Cujus, itaque (ab aeie A compucando) particulae ( sccundum longicudinem in axc AB altimatam aequales) lunt ut OP, TP, 28, 3F, ecc. series Primanorum: Celeritares (rotatione circa A Facta) ut OC, FC, 2 Cn 3C, ec. (distanciis ab A proxortionales) series itidem Primanorum: Vires itaque (in ratione ex utrilque compotica) ut OP C TP Cn 4P C, DPC Scc. teries secundanorum; seu ut rectae complen- res ABC complementum Semi parabolae: (aut Plana Conum seu Pyramidem complentia.) Pex CU jus itaque Centrum graritatis s ad L ibram AB ap. plicetur V C, arque limilicer, in V, secetur A B aXi5 Cum proporcionalium. Si aurem circa rectam R (basin crianguli) rocetur Friangutum vel Cuneus AB: distantia Z B erunt rectis huic parallelis, aequaliter a medio distancus, re- ciproce proportionales; adeoque respectira Momenta (urpore in ratione ex max- nicudinum de distantiarum rationibus composita) invicem aequalia; et propterea Contrum Virium in axis AB medio. Si vero intelligatur ABgrare, ultra A ( Centrum motus) continuari; id non impedic quin V ut prius sic Centrum ririum seu percustionis (ad partes B Facienda;) sed vis augebitur ab impetu partium ulera A. F.c similicer alibi. Sin sIC M Centrum MOtus Peu ROTa- cationis in axe ulera A procracto: Frunt Pondera (ue prius) ut OP, TP, 2P, 3F, Sc. Teries Primanorum: Celeri- tates aurem (distantiis ab NI pFOPOr- tionales,) ut a C, aC f EC, aC = 2 C, aC= 3C, _c. Teries A qualium serie Primanorum aucta. Et propterea VI res seu Momenta, aut librae Grarami Nan UECaZ C, Ta FC F TP C, 2aPC = 4F C 3a Z C F oFC, _c. Perieo Primanorum aucta serie Sccundano. rum. Puta, ue recta complentes Leis lineum ABC, ex Frianculo AB F (qua series est Primanorum,) et lemi- parabolae Complemenro A Y C. (quae elt leries Secundanorum,) rice comparariss Mmmmmm 3 composi. De Percussione. PFOD. XV Sin Cylindrus idem Leu CTHIMa,