Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 868

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. De Calculo Centre ascouth.
  2. Cap. V.
  3. 36C
  4. C
  5. Adeoque, Figura cujutris, in luperticie lphiaerica, planorum sectioni
  6. bus, vel circulorum quorumris arcubus, terminata, (utpote quae
  7. in exposicarum figurarum aliquas semper resolri possic;) Magnitudo
  8. datiir.
  9. rum Magncucilles exhibere.
  10. F.
  11. Trilinea circulorum minorum arcubus terminata (vel parrim his, par
  12. tim arcubus maximorum,) a Friangulis Spharicismodo dictis, dif
  13. Ferunt Bilineis locae magnicuuinis.
  14. DONet quide Hac Propoticio, non cantum de Magniiudine, sed d de Centro
  15. pravitatis, iltiulmodi Ligurx, c pracedente deduci: Cum pottu omnisistius.
  16. modi in Sphaerica superticie tisura, in Prilinea Rectangula resolri; quae in Cy.
  17. lindri recti superticiales Onsas expandi porerune: Ouarum quidem cum Mas
  18. nitudines, cum Centra grarua, (Dt praecedentem,) haberi Poterune; atque
  19. inde ad LMlinea Sphaeriea transterri, o PtoP. 14. husuS.
  20. Verum cu Ita caleutus fUCUTUS BE PELPLCLIOL Qnam ut illum jam axoredi l1-
  21. sent ea Frilinea Sphaerica, corunuse Palles: ) liber alia mechodo Fisurarum illa-:
  22. beac, (propter rarias se mutuo decultantes Sphaera diametros ad quas exisenda ef
  23. Supeltieiei Sphaeriex desmentum, (Plano abseistum;) vel etiam Superferans
  24. i5. F9r. Zona Sphxerica, (duobus Planis Parallelis interjecta;) eam habet rarionem ad to.
  25. cam Sphaerae Superticiem (hoc eltu ad quatuor Circulos MaximOS;) quam habet
  26. AXIS Portio, Plano seu Planis illiS terminata, ad AXEI COtM. PUTA, quanta pars
  27. est AV, vel VC, torius Aris Aa: eadem pars est corius Superticiei Sphalla
  28. Sexmencum ABB, vel BBSD ZOna; e sic ubique. Per S H, L. PrOP. 13. Hu-
  29. 15
  30. Curra Superticies Cunei Sphaeriei, aut etiam Cnnei Seementi Sphariei, Zonaeve
  31. arcubus duorum circulorum in Axe cocuncium interjecti; cam haver ad tOLaI
  32. Sphaerae, vel coram illius Seomenti, aut Zoux superticiem, quam habet Angulus
  33. inclinationis illorum Circulorum, ad quatuor RectoS. Ouippe si incellisatur
  34. A B Da Semiperipheria, circa axem A a conrersa, Luperticiem sphaericam deseri-
  35. vere: quam parcem corius convertionis absolvit A Ba, in licum ABa delata; ca-
  36. demerit cum angulus B AB, quacuor rectorum; cum, integrae Perivherix syi cir
  37. culiu arcus Bb puncto B deleripeus; luique, arcus Dd deleriptus puncto D; d sic
  38. ubique:

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. 868. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0888?run=74