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Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 7

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: 0.87.

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The machine reads it as

  1. L
  2. CL CF
  3. CUM SCOMENEUM Z A E seGMenEI Z F Z, EUM SCOMEHEUM Z E F C
  4. Sectoris Z F C, (e lic ubique) criplum.
  5. 23. Jam vero, ex ductu S emiradii (=62) in arcum ZC, Sermentum
  6. hoc est rectam Z Z, habeeur SeCTOF G Z C; aEque ex duEtu sC- C Z Y.
  7. miradii (ZG F) in alcicudinem 2 X, habetur Triangulum (Z F.
  8. Kroo ex ductu Semiradii in eoram Z Y, haberur sector F 2 C
  9. Acque ex ductu Cesquiradii in eandem Z. X, habetur segmentum
  10. EZ C F: Linde SIaUFCEaTUE E Z X F craperium, habetur dimen-
  11. LO SCgmenti C Z Y guaesita: Vel etiam, subducto insuper
  12. C2 Y, habecur C ZZ crilineum.
  13. 24. POrrO, Duoniam s ponamus semicirculum ex infiniris Solidut axis
  14. erilineis, qualia Cn F, nZ F, Ec. vel eriam (natm EE HOC, PFO- A F.
  15. prer infiniearem, adeoque ec approximationem in infinieum.
  16. contundem valer,) ex infinieis eriangulis, qualia O. N F, p Z F,
  17. eC, constire: ponendum et semicreloidem constare ex toridem
  18. quadritineis, uE CNDF, NZ Er, ec; vel etiam craperiis nu
  19. mero inFnitIS, UEO N VF, DZEr, ac; quorum quodvis ex-
  20. hibeac cum Priongulum cum Parallelogrammum iltius duplum.
  21. Ex convertione aurem Parallelogrammi, WE NF, CIECAaxeM
  22. AF, Rec Cplindrus, Calrem distorrus; e ex Pmili convertione
  23. Trianguli, uE On F, in hoc sieu, fec smilis Cplindrus conice
  24. excaracUS, qui eric ? cylindri pleni: Ex convertione igitur Tr2-
  25. perii, ex parallogrammo Cimul d triangulo constanris, Fic Poli-
  26. dum quod ad Solidum COnVertIOne FFIangUli CM UE F + 3 2d 3,
  27. sive uc 5 ad 2. Quod cum ubique hac; erit Polidum ex conver-
  28. sione crcloidis, ad Colidum ex convertione circuli circa recta AF,
  29. uC 5 ad 2. (Ouod ipsum etiam sC colligiEUr. C CHETUM OTa-
  30. vitatis Traperii P ZC distac ab A F, per S recta F X; cen
  31. crum autem gravicatis Trianguli p 2 F ab eadem A I recta, di-
  32. Aac Z vel 3 ejusdem F Z: Cenerorum ieaque ab A E distanEiX
  33. SuInE uC 5 2d6; Fe magnicudines octen (x SunE uE 3 ad c: FrgO
  34. Guae ex iIlIS COMPONIEUT, Sive momentorum respectu AF rectae,
  35. sire Polidorum circa eandem A F convertione Factorum, eatio, est
  36. uC 5 ad 2. Nempe ZX Z = 3
  37. 25. Ex ea vero convertione circuli, fer onnulus (ur loquun
  38. CUT) clausus, aequalis Cylindro cujus balis et ille circulus, ec 9l-
  39. cicudo aequalis ilius circuli circumterenciae, hoc el re CX AV,
  40. fio. L. Solidum icaque ex es conversione Cycloidis, LONLATUE
  41. Crlindio

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 7. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0023?run=74