# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0045 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0045?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 29, page id 85138403X:0045 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=45 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000045.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.90 # 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. D E CTCLIVC cherias his raciis (conrerrendo) descripcas; pro 2 R3, prodibie 2 R= P. uod quidem est criplum Sphaerae circuli genitoris: (quod hinc oritur, quia cum paralleloeramma V BV P TUNCErI asulorum F P dupla, cum ZY distancia mediae balis criangulI, elt Z diltanciae ceneri gravicatis Trianguli a convertionis axC C F; adeoque 3X 2=3:) Sicur _, iifdem de cauHS 2 R criplum Momenti Senicirculi respectu recta CF, ek Momen cum omnium paralleloerammorum sic suspentorum. Quod et in folidis, mucaris mucaridis, perinde valer. Verbi gratia. Si incelligatur cum Cuper Trilineo relliruto C AF, cum super semi- circulo CbF, inliltere corpus Cplindricusire Prismaricum eodem plano oblique sectum, icq ue in puncto Fec recta A F alcicudi- nem habeac nullim, ee in C maximam; acque incelligAnEUE (IM cula prismaca Parallelogrammis uc V Br P incumbentia suspendi in diltanciis 2 Y respectire: CruNE eOrU ONIUM PFiSIaTUI. sic suspentorum pondus, ad pondus prramidum eriongulis p F p incumvencium, hoc est ad pondus porcionis cplindri lemicirculo inlistentis, respectu rectxe C F; VE 2 ad 2. Cum eni Parallelo- Grammorum Prismara sine sigillatim ad Priangulorum Preamides, vC 3 ad 2; acque Z Y distincia suspen Prismcis, tive diltan tia mediae ba(iS Pyramicis, est ad diltantiam ceneri graviearisisti- US PYreICIS, UC 4 ad 3; CrIE quae ex his componitur raLIO 2 ad E. (DFOPTeT = 4 = 2. Adeoque pondus sic suipensorum Prisma- rem, erir ponderis Prramiduim in suo sieu, hoc est ponderis di ctae portionis cxlindri, (respectu rectae C F,) duplum. PEA milicer alibi. Sed haec obirer hic loci, quorun camen vIvs esse pocerie in sequencibus. Redimus ad suspensa Parallelo- SPaMIMI.) 77. L veco endem rrilinei resticuri C AF Paralleloorammi VBVD Ac. 7. dueantur in omnes respectire rectas 2 J arichimerice pr9 portionales (quippe arcubus arichmerice proportionalibus aqua les:) hoc elt in omnes parallelas rectas Frinnouli F A a (quarum M.XIMA A a == A F;) habebitur porcio Prisinaris, BabN C A P alcicudinem A a habencis, oblique abscicta plano per balis lineam CF de vercicis punctum a cranseunce; (quae quidem porrio ex- hibebie momenium dicti erilinei CA F respect recta CF.) Sin procrionouli rectis A a _C (ut pridem pro rectis B, _ QC) cumantur alix quxe ad has sine ur peripheriae circuli ad ejusdem radium 5