# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0064 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0064?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 48, page id 85138403X:0064 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=64 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000064.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine # Lines: 41 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. ltC22 momentum (respecta ejusdem cC) incegri prismatis super ea- dem bale, alcicudinem habentis rectae A C aequalem, ex puncto A suspenti. (Omnes enim Z V ductae cum in C Z = 2 a PFOPTCL distantiam, cum icerum in eandem CZ. = 2 a proxrer alcirudi- nem diltancix aequalem, tancundem est acque in q a: e simili- ter, eadem oinnes ductae rum in alcicudinem maximam, cum ive- rum in maximam distanciam, cantundem est arque in quadracum AC ductx.) Hoc est, (proprer binarum tourarum parallelas rectas proporcionales,) uc momentum ejulmodi porcionis prisma eis super crilineo BcC Ag. 7. in Puolicu, ad momentum similis prismaris inceori ex puncto C suspensi respectu rectae Bb. Ouam rationem (c inveltioamus: 26. Distantia Ceneri oravicaris Triliniri BB C A9. 7. et con- sequenter erilinei BCC, d recta Bb, sic colligieur. Ouadrancis ODCHg. T. vel 8. centrum gravitatis a recta C D distat D. D 3 (quancum scilicee a centro circuli distat cenerum gravicatis sem- circulis) a rectaigitur A F distac, 2 D2 D + ZD; quae distancia in ejusdem quadrantis magnicudinem D P ducca, dac = D2 + 5 D P, MOMCHCUM QUadTAnEIS G D C PESDCCEU FCCEX A F; cui (I addacur momencum crianguli CbF, (Factum ubique ex magni- cudine in distantiam centri gravitacis) = D = Z R= X Z R, Ba- becur = D +, = D2 P momencum sectOris F bC reSPCCEU A F TCCCR. 27. Flt aurem momentum quadrilinei BB F C Ag, T. ad mo- mentum dicti sectoris Fb C (respectu ejusdem A L FCCEX) uEC ad 2 (Per S 26;) Adeoque momencum quinquilinei BBF bC Ho. T. hoc est quadrilinei BBF C Ag. 7. ad idem sectoris mo- mencum, ut 3 ad 2; adeoque 5 D2 + D = P. 28. Unde si auteracur momencum parallelogrammi BF: nempe sDPx = D =, = D = P, manebir ED + 6 D2 P mO- mencum crilinei BbC (Hg. T. vel 7.) respectu recTE AF. 29. Hloc aurem momentum, per erilinei hujus magnicudinem R= = D2 divisum, dac ZD + F P distantiam ceneri gravicaris dicti erilinei BB C ab A F rectas Adeoque P ejuldem distan- tIam a Pb: EE consequenter = D = X ,E P = a D P momentum diccicrilinei Bb C respectu rectae Bb.