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[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, fol. 865

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.

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The machine reads it as

  1. PFOD. XXTII. DeCalcuto Centri Cravitaris.
  2. 26.
  3. ter datum etiam Tnelinationis Planorum angulum P X B) Fongindinem reclas L1. 103
  4. quae arcus Cenero pravicatis insiltit, rectis in superticie curra Cytindri parallela
  5. Datur etiam L per PEOP. LX. hujus) superticialis ungule C. B A BD area seu MaB.
  6. nitudo.
  7. Exsimiliter; proxter datum areus B A Centrum gravitatis; Ongulaque Aciem
  8. E A (quae sive tic ipli X Z. parallela, sire secus, perinde cst;) Angulumque In.
  9. clinationis C. F B: Dabitur Cuperficialis noula C A B magnitudo.
  10. FE, Timili proceltu, dabitur magnicudo superticialis Ingula D AS.
  11. Datur erso, expolitae Figurae CAD = C BASD CAB = D AS magnim
  12. d0. (Et Timilirer, mucaris mucandis, in expolitis Fixuris illiusmodi aliis. ) Duod
  13. oltendendum erat.
  14. (Idemque paricer obcinebic, etiamti curra B A S non sr arcus circularis, sed
  15. alia quaeris curra, dummodo (uc supra dictum cst) cum ipsius, cum parcium sui
  16. B A, AS, habeantur lonsicudines e Centra graricaris. )
  17. Porro; quo habeacur expolicxe hourx CiA D (juxta cenorem 6W. PrOP. 13.
  18. hujus) Centrum graritatis; resolvenda erir ea, non cancum in Ongulas C B ASD,
  19. CiAB, D AS; sed e ha porro ica lunt resolvendx, ut per luperticies Colindra-
  20. ceas rectansulas, atque ejulmodi ungutas quae acies habeant in diametro. Cireuti
  21. (addicas demprasque prout res poltulareric,) exhiberi DossinE. ciu c de as
  22. Puta; cum Onsula CB ASD acies XZ. non lu in, diamerro cireuli B AS
  23. (sed exira illam in eodem plano:) ducta incellisatur in secante Plano Ci si D
  24. ver L. punctum in Axe Cstindri, recta L, F, iB E X Z Parallelas; quae curva CD
  25. Occurrat in HI: Atque, per HI, circulus CHIK, centra L. descripcis, balibus Cy-
  26. livdri parallelus. Adeoque tiene superticiales Ongulae C. HG, GH K, communem
  27. aciem habences L. HI in circuli Diametro. Duarum si auteratur illa, ec haec addlatur,
  28. superticiei Cylindraceae rectansulae CB ASK; habetur Cngula C B ASD. Ha-
  29. bitis itaque illarum cum Maonicudinibus, cum Cencris gravicatis (nempe Onoula-
  30. rum CHC, DHK, Der SW. prOP. 13. e Cylincraceae G B AS H per DC, D, hu
  31. jus;) habebitur etiam (Per PrOP. 27. cap. praeced.) Centrum craricatis ipsiuo
  32. CBASD =GBASR F DHR= CiLG
  33. Similicer oltendetur (muracis murandis) Ongulam D A S componi ex Cxlin.
  34. dracea AM NS, addira Ingula DON, dempra AOM, quarum Ongularum
  35. communis acies OP cst in diameero Circuli. Flabebitur itaque Cencrum gravira-
  36. tis iptius D AS = AM NS F DON = AO MI.
  37. Tcem, Ongulam C AB haberis dempris, ex nouta G O F, tum Vngula AOR,
  38. quarum communis acies O V est in circuli diametro,) tum Cylindracea B AR L.
  39. Adeoque habebitur Cenerum sravicatis iptuS C AP = C. D L AOR = BARF.
  40. Tlahebitur itaque (per prop. 27. Cap. praeced.) Centrum gravitatis AgUrX exPO-
  41. sa CAD = CBASD - DAS =CAB. C FE timilicer in aliis tiguris, mutacis
  42. mucanes.) Quod erac ostendendum. ili ciist D E. E diresttiC 11bcMHS.
  43. REKPK
  44. Non
  45. M

Cite

[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, fol. 865. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0885?run=74