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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. 765

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: 0.85.

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The machine reads it as

  1. PeOD L. VII. De Calculo Centri Cravitatis.
  2. Ouaque de Figura Sinuum rectorum unius quacrantis, (ut a Sn f8. F70.) dicta
  3. sune: eadem figurx Sinuum Chordarum seu Subrentarum in semicirculo (ut Ad h
  4. 518. 283.) Facile accommodantur: Sunt enim Chordae Areuum in semicirculo, ubt
  5. que Dupla Situum Rectorum, Semiarcuum in Ouactrance correspondentium.
  6. Adeoque Fipura Choraac in Semicirculo ASn HB, 183. EpHaS _ H3, 270; F
  7. surae Sinuum Rectole acrants, omnino limilis; es partes parcibus respecttre
  8. tumptis. Ouod e de Poliens e us pariter intellisena el.) Dua de
  9. re rideantur plura, ad prOP. 22. dC L HaCOPeaIC OD CA II.
  10. SGi HOF. F∞ M.
  11. Y Ac aucem sire Sinuum vertorum sive Arenum tigura Ara, alia non est Fig. X
  12. LL quam, Dimidia Semicylindri (plano oblique secti) Superticies curra l pla C.
  13. num expansa: Seu Semiguadrantalis Ongula Semieytindrica Superticies curra M
  14. nea curras ul plat expanla.
  15. planum expanla. Paque qua termindeut. uoa Clera A d7, eA Sehet plCdS
  16. respondenc rectabb in Lrilinet plano. E e Det Conteructioe) alcll
  17. quales.
  18. Incellixatur enim super Semicireulo ax BF8. F7F. (qui sit ipta A aB ti3. 169.
  19. aequalis, adcoq: illius curra = Ba, HB. F7 T. Curra hujus AB a, H13. 169.) Semieslindrus
  20. rectus, alcicudinem A a ipsi A a tiz. 760, 270. aequalem llabens. e secet pla-
  21. num chspseosrb A, (quod ipsi peraxem Cytindri plano a ec ) ablcl
  22. dens Semiquadrantalem Ongulam rb A a; cujus luperticiem curvam compleai
  23. (juxta del. L. Cap. 4.) Parallela rectae Bb Sc. linSIB CMra Ba PIHCLIS MIeH-
  24. tes: (uc e patalleli areus bB, _c. Pingulis recta Ha Pul currentes.
  25. Sumplo sati I L Vate 2Ba 118. 176. Puncio Guoro B, elt scipondear
  26. recta, sicBb. Dico rectam hane Bb in curra Onoula superticie, aequalem esse cor
  27. =B xoualISrBrectae, hoc et alcl a B. Sece o Popler aequales cir
  28. culorum DiametrOS:) Adeoque hujus linui verso a V, Fis. 169, 270. aequalis
  29. est illius tinus versus ra; hoc est, (propier angulum semiquadrantalem, ). ver
  30. pendicularis a r; et (propier parallelas) ipsa Bb in Ongulae luperticie curra
  31. Sed d eidem aV fig. 270. aequalis elt (ipli paralleta) Bb in Prilinco. A quales
  32. itaque lunc, quae in Ongula luperticie curra, ee quae in Zrilineo plavo, rectae BB
  33. relpcellre Tumpea. (Similiter ostendetur, areus bB, dD, ecc. Hg. T7F. aeguales
  34. elc rectis bB, dD, Sc. H8. 170. hoc elt, arcubus AB, AD, Scc. FS. 269.) Cumgue
  35. hoc ubique obrineat: Fxpansa in planum superticies illa curra, Frilineo super. im-
  36. Polld coneruet: adeoque cum coca coci, cum parres partibus relpectire sumpris X
  37. (Pura, Superticies currae AbBa, Ab B, iptiS ABBa, A bB; planIS. L lic
  38. ubique.) Iplaque qua, in superticie Ca etat Semicllipleos curra rbA
  39. quam Ficuram Sinuum Versorum, Louumve, diximus.
  40. cadem, in superticie expanla, est sinuola curra r b A terminans Frilineum AI T e
  41. Es2
  42. 170
  43. Eodemmodo; si incellientur idem r A semieylindeus, plano A a F secari, Seni- Fie
  44. quadrancalem Ongulam A Jn abscindence, (cujus irague lituco sn SC batIS se
  45. midiumerro aequalis:) Mendelu, pellierem Oneulae curvam F S A i in planum
  46. Ddddd3
  47. udt

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. 765. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0785?run=74