# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0713 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0713?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 693, page id 851387705:0713 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=713 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000713.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine # Lines: 56 recognised, mean confidence 0.88 # 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. PrOP. L. Se cuamoii avitatis. versionibus; puta, H Fatabora alare ex jam cractaris figuris, circa Balem vel AXem, vel rectam Axi parallelam conversa, intelligatur figuram Solidam deseri bere; aliaque hujusivodi. Abstinui tamen; partim, quia ad jam tradtitorum me- dum pocerie his limilia Lector ipse pro libitu plura subjunsere (uo Marte: par rim etiam, quia eadem, sequentum aliquor provolitionum op ucCMS d Li- ul univertalius tracentur: maxime vero ne caedium crearem Lectoribus i sIS ellem in hisce conserendis; praserrim cum tanta seges hic se otterat, ut vel IB cilesium carpenci, nimis incumeleat Capuc hoc De Calculo Centri Graricatis. SC HOL. ZVM Padiaus hactens, Ca Praeterrim qua FsuraS Spectant, (planas Solidatre,) a ad quarum Diametros vel AXeS, quae Ordinatim applicanEUE (recta aue plana) sunt secundum ordinacam aliquam (ex iisquas deF. F _C 2 HUjIS CapIEIS ACLMIIM. muS) Seriem constituta. Oux quidem ad cencrum gravitatis in tiguris innumeris determinandum viam aperiune: F.X nostra Infinitorum Srithmetica plurimum De- cita: Oux tamen adhue facile ampliabir peritus Geometra, es pluribus acthue cati- bus innumeris accommodabit. Ouoniam rero non omnes tisurx ordinatam hate Consticurionem lortiuntur: quo aliis ucur inordinaris consulatur; sEquenEE PTOPOLILIBHC HICLLIOIIE alIMIC Ma- eis generalem exhihemus; ordinatis juxca acque inordinaris paricer applicabilem. Si diridi intelligatur Libra quaeris, in partes quotlibet aequales, (u- mero vel finitas vel infinitas,) in distantiis a motus sui Centro vel tice proportionalibus politas; ponderibus, aut ponderum particu- lis, (aequalibus aut inaequalibus, ordinatis rel inotat,) Ulcun- qe graratas: Paque quibus grarantur pondera, scu ponderum par- ticula, in suam quaquo ab axc motus (C Plaio peraxem) diltan- tiam ducantur; hoc es toties Cumatur Gllade particula quoto, est ridebitur maxime expedire, consequi licebit:) Llabeus (relpecti ejuldem axis) Momentum omnium; et hujus ope (cognita maoni- tudine) distancia Centri Graritaris, ab illo per arem plano. Nceslieneur, in A P libra, parces invicem equales, AB, BC, CD, dc. quarulae diltanciae (auc mediorum in illis punctorum) à morus axe X, (aue, l partes incelligantur infinite exisux, ab ipso A pun. Eto) LInEHE L, 2, 3, Sc. arithmetice pFODOE. tionales; tuis quaeque ponderibus (aequali- bis auE inaequalibnS) a 6, 7,5, Scc. Onustae Ouorum quodque tocres lumatur, quoto est ab aXC motus loco. Puta: 20, 26, 33, 4 5, Feu a, C +. 6, 7 + F 8, _cc. HIOc eA (in Parci. bus intinice exignis) omnes onulta BB, CC DD, Scc. Triansulum rel Ongulam AP. P complentes. nice exiguis) omnes onultae rectae A E, BE, Ci L . A L. L. Uat C vel unsulam complentes. AF demipris OMIIIBIIS A B, A C, AD, Cc. Hoc est, (in partibus infinice exiguIS,) Pacalle toxrammum seu Prilma (onultum) A L. F. c, minus (onulto) Triangulo ret Ongula contraria AP. c. dETC _c. Arichme AxC (aut perpencculari per axem plato) ut L, 2 ipCa loco ab axc motus; (Duod rariis methodis, prout cuique casui fie Auc eriam, a f 6- f 7 f S, 6. f y = s, y. F s, dcc. Hoc Cst, (in parcibus infi- Aut eTtaM A L AL = AB, AL = AC, Al.= AB, dc. Hoc et colidem AHC