Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 3

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. DE
  2. CxCLOLVC.
  3. Screpatum dggregato aequale, et duplum duplo, guadru
  4. eriL. 880
  5. plum quadruplo, ec. Hoc elt, Cuperticies rSF ZC Y li, Se-
  6. micrcloidi A C F; ee Semisuperticies Cplinari (quippe illius
  7. supla) Creloidi AC D F; e coca superticies hujus dupla
  8. Qod erat propolicum.
  9. 6. FRigitur C Yclois AC D F, circuli genitoris cripla. Duod Cyolois Cir-
  10. Eic colligitur. Cylindri inceori modo expolui superticies cur- culi triplas
  11. va, aequatur facto ex alcirudine (quae aequalis elt diamerro BaliS)
  12. in balis circumterenciam; adeoque elt quadrupla circuli balis:
  13. Cui si basis urraque adjiciatur, aggregacum eric, baleos (hoc est
  14. circuli genicoris) sexcuplum. Est aurem, uc supra octensum est,
  15. duplum Crcloidis: Ergo Crcloisipla est circuli Genicoris Pri-
  16. Pla. Nempe Trilineum C AFZ Semicirculi C Z F du
  17. Dlum.
  18. y. Porro, l expolita quae prius superticies (nempe semisuper. Sermentum
  19. ficei cxlindrica Temissis) FEF ZCYF, secetuE ad huc plano CY Z.
  20. 2y T, Quod sic plano elliprico FSr uparallelum: Superticies
  21. abscista Z C T2, aequabic seomencum Cycloidis C Y Z. IIaM,
  22. propcer Cylindricae superficiei sectiones parallelas, congruet
  23. 22C IPAFE C, hoc est erilineo C 2 J. Crcloidis; sed e C. Y2
  24. urrobique equalis; Ergoaggregacum agoregato aequale.
  25. 8. Si super Crcloide A C D erisatur (uc in A9. 3.) Semicy- Sotan nals
  26. lindrus rectus, sive Prisma, (ueroris enim nomine dicatur per- D.
  27. inde est.) alcicudinem habens C 8 duplam rectae AD; quod pec
  28. axem secet LC a sectionem in lacere faciens C o rectam; cui
  29. plano incelligacur planum aliud recte insistens, per rectam F a
  30. transiens, Solidum abscindere D A e C D: Fuic SOlidO RGUAEUE
  31. Polidum factum ex convertione Cycloidis A C D circarectam
  32. AD. Cum enim sIE A D aequalis peripheriae diamerri F C; c-
  33. ric ipsius dupla C’a, aequalis peripheria semidiamerri FC:
  34. adeoque (proprer angulum F C _ rectum) criangulum F C ∞ X
  35. quatur circulo ex convectione radii F C FaEO. EF similiter ollen
  36. decur criangulum ZZ E aquale circuloradii ZZ: FF sc ubique.
  37. sireo omnia criangula omnibus circulis, adeoque Tolidum solido
  38. aequatur, ex segmenca seomentis respective sumptis: Puta, Toli-
  39. dum Z ZE A, solido ex convertione plani Z Z. A Facto; e sc
  40. ubique: Irem prisma XZ Ev Y F solido ex convertione paralle
  41. logrammi Z Z X F; adeoque ex solidum Z. Y C _v E Solidocy-
  42. lindrice
  43. Fig. 3.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 3. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0019?run=74