# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0073 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0073?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 65, page id 85138403X:0073 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=73 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000073.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine # Lines: 47 recognised, mean confidence 0.84 # 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. DE CYCZOTDE sione crianouli restilinei es 2 93 (nam circulus radie R CA Z RP; ergo circulus radii ZP, urpote in radiorum ra- rione duplicaca, est 1 P2 vel. SR P2; qui circulus, cum (IE coni batis, ductus in ? D eriencem altitudinis, dac, P maoni- cudinem comi:) Hlorum solidoru differentia, nempe excessus coni supra reliquum solidum, eAt =D= P = - P=. Sin urrobique, Pro circulorum peripheriis substicuanus radios, (Facta divisione Per P, ec mulciplicatione per Z D,) habebimus planorum momen- ea respecti rectae CF; nempeillic es DP 2- =D, hic vero e EDP= 2deoque momentorum ditterentiam = D. +6 DP=. IIRC VerO difterentia per segmenti magnicudinem divisa, hoc est per =D 2- S DP, (est enim crilineum miltum BBC -27 2 unde si aute- ratur erianeulum sibi inscriprum, quod est circum scripei paralle logrammi dimidium, adeoque, ZDP, manebic ZD = = Z DP magnicudo segmenti BA vel BC recta e curra comprehensi;) dac 120 2 p2 T2D- p menturam promotionis centri gravicatis, dicti seomenti tramclocati, vertus FC rectam: Cujus itaque semisIS 12 D= = P2 24 D-6 P est ejusdem cenrri distantia a recta cBB: Ouxe qui- dem distancia, in segmenei magnicudinem =D = -, EDP ducta, dae D DP ejusdem momentum respectu cBB recta. Momen- cum aucem crianguli rectilinei BCC respectu ejusdem cB rectx eltr =DP= = LDPX, =P. Unde s auteratur segmenti dicti mo- mencum ZD=3E DP=manebit E+D P= =ED? mOmenEUM CrI- linei misti BCC respectu rectA CB. FR AUEeM FOFIMS BC Pa- eallelogrammi, respectu ejusdem cB, MOmeNCUM =DPL = =DPrEP. (Unde obirer liquer, residui B C b crilinei momentum esse ZD adeoque, Propter ipbus magnieudinem ZD=, distan- eiam cui ceneri graviraris a cB eNe =D; _ consequenter, a bC etiE Z P = ZD, UE Supra 5 99.) Racio igicur momenei crilinei misti BCC, ad momentum circumseripei Paralleloorammi, (re- spectu ejuldem cB rectE,) est ut D P= =D ad 6+ D P=; (Ve, uC P = 8D2 ad p=: UE PEIUS. 62. Vel denique, sic etiam eadem rario inveltigabieur. Vo- mentum erilinei milti CZ. AF A9. 7. respectu recta C F est (uE +C EuPFa) ic DP2. M