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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. 727

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: 0.88.

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The machine reads it as

  1. PFOp. XV
  2. De Calculo CantriCravitatis.
  3. TLEM; (pFOpter A C = C A; ) ParabOIET. a.
  4. cus rectum erir aequale ipti Cia =R: FF
  5. (propter Bb = V C = x) eric B5 = b a =
  6. Adeoque Semiparabolae complementum B à S
  7. (urpoie circumseripri Parallelosrammi BB AS
  8. Exiens) -
  9. ErgO; ParaboIX SeGmentIM AV B = AVS
  10. =AaS = BA5 = v R -, R + . Acque
  11. hoc demum in Z R ductum; exhibet ZV R 2
  12. =SR3 = L4 Semiseomenti Circularis ABV
  13. Momentum respectu rectae Aa; vel Semiqua
  14. drantalem Ongulam correspondentem: Ejusque duplum, V R 2 - = 3 = Z ∞3
  15. = V R = = 23 = ZV R2 - Zs R Z522; UE PEIUS, 5 Y
  16. Acque hinc similiter elicientur, tum Sectorum B C A, B a A, Momenca Peu Pemi-
  17. quacrancales Ingula respectu rectae Aa, cum Cenrrorum praricaris inde distantia;
  18. ExteragUE VE PrIUS.
  19. Fademque adhuc alias sic investisantur.
  20. Si incelligatur Sphaeran vel Sector Sphaerieus, (puta BC B ex conrertione Secto. WV
  21. ris circularis BC A cirea Aa factus,) ex numero intinitis Pyramidulis (juxta Fis. 159.
  22. det. T. Cap. 4.) contlari: Ouorum omnium communis verrex Tic C Centrum; 8x 260.
  23. communis alcicudo Circuli Sphaeraere Radius; Balesque compleant iplam superti-
  24. ciem Sphaericam, vel Sectoris Sphaerici: Superticiem curram, (puca B A B quae ar
  25. eus B A, circa Aa conrersione deseribitur:) Fric (propier, Pyramides Prilimatum
  26. super cildem balibus aeque altorum Friences, per prop. 6 hujus;) Sector Sphari-
  27. cus BC B a, aequalis superticiei Sphaerica sesmenco B AB in Friencem Radii
  28. ducto.
  29. Tlabetur aurem Superticiei Sphaerica sesmentum illud B AB, s ducatuE AECuS
  30. A B = a in Peripheriam ejusdem arcus Centro graricaris deseriptam, per Z2 hu-
  31. ius. Fst aurem ejusdem AB arcus Cemrum GravICaLIS, Duta C (in H18. 16F, 162.) Fi8
  32. 162
  33. in recta C. S arcus axC; rectaque CC = = R, (per 24 huju s.) Rectaque 5, = = C, 167
  34. (uc SO. oltensum cst:) Acque (proprer similia Friangula) Vr CS = R, ad
  35. 5. = 1C hc CC = = _, ad = = Cc diltanciam Ceniri eravicais Arcubo AB, ab
  36. Aa; Adcoque est Peripheria juldem neera convectione cicca M a deleripra
  37. In quam itaque si ducatur AB = a, habetur Sphaerica Superticiei segmentum
  38. BAB = =: vel (PTOPIeT C = Z VR,) Superticiei Sphaeriea seomentum
  39. BAB = ∞4
  40. Vel ctiam (per L3 hujus;) Propter incesram sphaerae superticiem quatuor Circu. Pix
  41. lis maximis xequalem; hoc elt, 2 R P: acque abseiltum lesmencum ABB, in Ca 150
  42. ratione ad toram, qua elL ipsius alticudo AV = V, ad Aa = 2 R: FFIE UEA a = 2R, 160.
  43. ad AV = v, Sic tora superticies Sphaerica 2 RP, ad iptius segmencum B AB = ~Z.
  44. uE prius.
  45. Ouod irague superticiei Sphaerieae segmentum, in ; R ductum, exhibet Sectorem
  46. Sphaericum BCB A = Z V R P: Adeoque semiquadrantalem Ongulam, seu Plani
  47. BC A momentum respectu Aa, ZV R 2. Idem, quod supra, S O repercum est.
  48. Caeteraque hinc, ut ibidem, deducentur.
  49. Exhibuimus icaque Semicireuli Partiumque iptius exposicarum, cum Magnicudi-
  50. nes, cum Momenta respectu rectarum aliquor expolitarum; corumque distanciam
  51. Ceneri graricaris d rectis illis. AdeOqUE PeT prOP. 26. Cap. PrXced. (propter datas
  52. COrum
  53. 2.

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. 727. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0747?run=74