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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. 31

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: 0.84.

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The machine reads it as

  1. DECTCLOTDL.
  2. do per R ec muleiplicando per ZP,) erunc =R2 D F ~ PD un cum
  3. omnibus circulis radiorum 22. (aequalibus incerrallis sumpro-
  4. rum,) hoc est, una cum Tolido ex convertione crilinei rellicuri
  5. C A F A∞. 7. circa C F, hoc eltuna cum 45 HeMPC ZK2P +
  6. P. + A aequalia Colido ex convertione Pemiercloidis circa
  7. CF: cujus icaq; racio ad sphaeram circuli geniToiis (ex con-
  8. vertione semicirculi circa eandem rectam C L Factam) eltuF Z X2 P
  9. + 10 P3+ A3 ad Z A2 P.
  10. 83. Verum endem ratio suxerius rexerta eAt (5 78) uc 9 A L
  11. 2OR = P ad 4 A= P, hoc elt (dividendo utrinque per 6,) uC Z A
  12. Y 3 R = P ad Z R = P: QUAI IAI rCDCTIUS (582) ut Z K 2 P+ .t
  13. De+ A 2aZkD. SunEISITUI Z 1 + E A 2P = Z RE P+ C p)
  14. A3. Adeoque (subductis nerinque aqualibus) = A2 + R 2. F
  15. eo P. HlOc est, e 3 = Z P, = 2R = P. (HOc eHt A F. in
  16. ALiq- C Fg. fig. T vel 8.) Habemus ieaque magnirudinem solidi
  17. ex convectione Trilinei recticuri C A F fig. 7. circa C. P, (nempe
  18. EP3 = 2 R P;) Adeoque iphusracionem ad Spheram circuli
  19. Senicoris (ho: eAt, dc = W= P,) nemPC UC 2. D ~ = 2 R= 2d ZH,
  20. live ut ZP= = 22 R = ad 4 R E, hoc est, uC 3 A F 9 - 3 C F9 ad
  21. CF 9. Acque eadem estracio momenei illius Frilinei, ad mo-
  22. mencum Penicirculi, respectu C F rectae EC urique illud SRP 2
  23. =2 R; (momencumaurem Semicirculi Z R 3:) Adeoque (di-
  24. videndo per magnicudinem Trilinei Z R P) dictabic centrum gra-
  25. vicatis Trilinei ab F C, = P = 7
  26. e
  27. R
  28. : _ dBB, = R. Dictar
  29. autem (per Cuperius Fraclita) ab A F, Z R: Cum enim momen-
  30. cum Trilinei ad monenrum Semicirculi (respectu A F rectX) (IE
  31. uc 3 dd 2, e mogricudo ad insenicudinem vt 2 ad F5 CriE prO-
  32. Pter Z) Z (3 diltanria ad distanciam uc 3 ad 4. Distancia aurem
  33. ceneri gravicacis lemicirculi, est R; Ergo diltancia centri gra-
  34. vicatis Trilinei ab A F eA Z R.)
  35. 84. Cum igItuT Z R? P aequetur Eptaerae circuli genitoris; erie
  36. Per 582) 3R DF P3 + A, hoc eAt, Z R. P+, F P3 + = P3
  37. 2 R= P; hoc eA 2 P3 = = R 4
  38. micrcloidis circa rectam C P.
  39. aequale solido ex conversione Se-
  40. 85: V el eriam (per 578,) cum ejuldem solidi ad Spheram
  41. ratIO, HC, UE 9 +1ORE P ad 4R~ P, hoc est, uE Z A + 3 R= P ad.
  42. Ek=P; Cique Z.= P aequale Sphxra: eric etiam L + 3 R P,.
  43. AC

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 31. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0047?run=74