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. 26

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. tC.
  2. ac distanciarum series in seriem moenicudinum respectire du-
  3. eta, dac seriemrR =, - p 2, 2 r R= = 8γ3, ZrR = 27r, _C3
  4. hoc elt seriem Primanorum dempra Cerie Terrionorum, quae ad
  5. correspondenrem seriem sE qualium eAt ur Z = 2 id 2, hoc elt uE
  6. 2 Id r, Sire uc 2 ad 4. Dux quidem seriees cum sic momentis
  7. dictorum Circulorum respectu Centri sphaerae proxorcionales.
  8. (quorum ucique rationes sune ex racionibus magnicudinum e
  9. distanciarum compoliex;) erune eorundem omnium in luis locis
  10. momenta, ad momenta tocidem maximo aqualium in maxim
  11. diltancia; hoc est, momentum Flemisphaerii in suo sIcu, ad mo-
  12. mencum circumscripei Cylindri ex puncto C suspensi, (respectu
  13. CeHEEI (Y;) uC F ad 4. LiCt aurem magnicudo ad magnicudinem
  14. quod jam octensum est) ve 2 2d 3: Lrgo, PrOPrC: 3) 2 (3,
  15. diltancia ad distanciam, uc 3 ad 8. Diltac ieaque centrum
  16. sravicaris Hemisphaeriia centro SFhaera, 3 Radii. LEpriuS.
  17. 72. Eclmili processu (juxca ucramris niechodum) de CenErO
  18. pravitatis in aliis sxhaerae partibus judicandum est. Nempe idem
  19. ese centrum graviraris Segmenci Epherici plano 22 abscilla,
  20. acque seomenti sc excavaci Cplindri eodem plano abicillae. Sed
  21. e himilicer judicandum est de cenero seomenti Spharici duobus
  22. planis axi rectis incerjecti: Fc quidem sire in eodem sine live in
  23. oxpolitis Flemisphaeriis ea plana; si _ circa reliquum Hemisphxe-
  24. rium constIEUaEUE Cy lindruS GIMIITeT CxCaVAEUS. CUI IEaque CUI
  25. Crlindri, cum allaci Coni vel fructi conici magnicudines d centra
  26. Gravicacis non ienorentur; nec ienorabitur centrum gravicatis
  27. tixurae excaracx, adeoque nec Segmenri Sphaerici planis quibusr
  28. curque parallelis absciitr.
  29. 73. Dacis aurem segmenei SphxericiZZ C (sive F’emisphx-
  30. rium sic, sive majus aur minas hemisphaerio) cum magnicudine
  31. cum centro gravitatis; A eidem adiciatur, vel auFeTAEUF, COMUIS
  32. 22 G, vel 22F, vel aliud quodvis solidum cujus cum magnicudo
  33. cum cenerum gravicarisinnorescuns; dabicur et agoregati vel ro-
  34. Edui cenEru GraVICaTIS. Fe quidem, quantum ad Eectores
  35. Sphaericos, UE C ZZC, sune illi respectivis suxerticiei Sphaerici
  36. seomentis 22 C, adeoque _ Y. C rectis, proxortinnales; (2qua-
  37. les urique ? Radii in illam suxerticiem du to: ) Suorumque cen-
  38. erorum gravieatis a centro circuli distancia, unc rectis C F (E
  39. incetligacus F punctum medium iner C et L) proporrionales;
  40. equales

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 26. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0042?run=74