# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0031 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0031?run=74 # Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103) # Folio 15, page id 85138403X:0031 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=31 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000031.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 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. DF C+ODOTDF ei in solido incegro haberi cerrum est: puca in AXis pun eto 7. AO. FiOdem FerE PTOceNU (UEaEIS UTAndIS, UE SuPTAS 3Z,) Centru se colligitur cenerum graritatis semisolidi ex convertione segmenti misortar ca SZ C F circa rectam A F; _E CONSEGUeNLEF CFIAI CCHETUM OFA- vicaris semisolidi ex conversione sermenti CZ Y, tum circa re- EtAM A F, cum _ Circa rectaM V Y. 50. Tandem Cuverest ut centrum sravicaris semisolidi ex mgolidi convertione Semiercloidis circa rectam C F inveltigemus. circa l. Nempe si semisolidum illud plano abscindatur quod plano C AF in recta C F recte insistaE; IMAMIFECEUI CAE GFAVIEAEIS CCHEIUM fore in ipso plano C A F. Ouaericur, in quonam ejus puncto. HIOc ModO. sT. Semisolidum ex convextione crianguli o F P, eric semico- nUS exCAVATUS; cujuS Propterea cenerum graVIEaLIS, (I CUEVATU rain demas, erir in rectxe Z F ponctoH, quod abscindat F H= 22F; (nempe in recta 2 F sic secta uc secanda esset F X, ad inveniendum cenerum gravicatis hujus solidi integris) sed dein- de, proprer curvaturam semicircularem vertus rectam C F, (A verum orariratis cenerum indagare libeat,) abscindenda elt rectae HIh; ea porrio versus H, quae sit ad tocam HI h uc diameter circuli ad semicircumterenciam; (sc vrique diridendus est axis Pemicir- culi ut habeatur Cemiperipheria CenETUM GPAVIEALIS.) 52. Semisolidum autem, ex convertone Traperii V BoP, est Frultum coni excaratum; cujus centrum gravicatis (si curvatu eam demas) est in rectae EZ eo puncto, puca K, quo ica dividi- eur uc dividenda esset F Y ad inveniendum cenerum gravitatIS hujus solidi incegri, nempe excavati Frulti conici. Centrum AULEM GFAVICAEIS VeTUM, CFE (PTOPTEF CUEVATuTaM) in rectae I. K eo puncco quo ica diriditur ue de IIh modo diximus. 53. Cum icaque horum Femisolidorum rariO IMOMCNEOTM, cum respectu rectae C F, tum reCtR A F, COMPONAtUE ex PaLIO- nibus magnicudinem _ distantiarum reperientur puncta F, a, (- mili fere mechodo quo supra; adeoque e punctum s, centrum saricatis semisolidi; et simul centrum gravicaris folidiinceori, pura punctum AXIS A. 54. Cumeue similicer Faciendum si (mucatis murandis uE S Centrum 3F, 49,) de semisolido ex convertione segmenti, Puta EZ C F; solidi ex PaTILeF seementO semento Centrum se-