Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 27

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: 0.92.

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The machine reads it as

  1. DL CLC LDLLL
  2. xquales utique Z O F. Idem nempe erit cenerum gravicaris
  3. Sectoris Sphaerici GZ2 C, acque segmenti superticiei sphaericae
  4. Segmento Z2C Cimilis ex concentrici radium habentis Z GC. UIF
  5. enim E (punctum medium rectae CY) est centrum gravieatis
  6. Eeomenti Superticiei sphaericxe 22 C (proprer segmenta superfi-
  7. ciei sphaericae segmencis Axis iisdem planis abscistis ubique pro-
  8. porcionalia;) ita Segmenei limilis concenerici radium habentis
  9. CC (cujus lingula puncta, utpore conorum vel prramidum
  10. coridem aequalium Sectorem Sphericum complenrium centra
  11. gravicaris, aequalicer onerari incelligenda TUnE) centrum gravicr
  12. eis eric in suo radico similicer sicum. Quod iptum elt ex centrum
  13. scaricaris Sphaerici Sectoris, Cive preamidum simul onnium nU-
  14. mero insinitarum sectorem illum complencium.
  15. 74. Duam superius (530) Tuscepimus ratiOneM, 9 A F 9-
  16. 4C Fgad 2 C F 9, odendendum; eam sic inveltigamus. Primo
  17. quidem cum Trilineum CZ A F Z Fg. 1. in Semiercloide (pro- Semierclor-
  18. ocer Semicirculi incerpolicionem incer crilineum illud ejusque dis respecti
  19. axem C F) Ec diltorrum; intelligamus (exempro semicirculo)
  20. trilincum illud restitmi in sicum debicum, procrulis scilicet omnibus dum con-
  21. Z 2 ad rectim C F, uc puncta 2 coincidane punctis Y: dc sic ubi- dersione cir-
  22. que. (Ouod cancundem est atque superticiem curram crilincam eu Axem
  23. FCF Z C tig. 2. in planum expandere.) Duo facto, rectae EJ. falam.
  24. Rc prius inclinaea in Fig. L. erigentur ue in Lig. 7. Exempris
  25. nempe Traperiorum omnium Priangulis (qua Triangulis Semi-
  26. circuli abique aGUAMEuT) minebune cancum Parallelogramma,
  27. Triangulorum illorum dupla: Dura Parallelozrammum V P DB
  28. in Trilineo restiruso, duplum Triangulio F p in Semicirculo, (&
  29. sic ubique:) UEc eadem jam sc racio omnium Z L in hxeC respe
  30. etira Parallelooramma, ad omnes 2 Y in eadem Parallelopram-
  31. ma; acque prius in Cur respectire Triangula, vel horum corum
  32. ve altitudines.
  33. 75. Cum, Cumpris Y, y, xoualiter utrinque a CenErO. C TC-
  34. moris, alticudines binae Ly FX simul Cumpex aequent ubique
  35. LC, (IREque Z Y m Y aequales; erie ubique 2 Y X F Y F M Y X
  36. FY = 2 YXFC. Sire, quod cancundem est, quadrilineum
  37. Mu X L una cum quadrilineo Z Er N, complene Parallelogram-
  38. mum basis E altirudinis FC, (altero scilicer supplence quod
  39. in altero deest.) Adeoque perinde est sre ducamius omnia P2-
  40. Fallelogramma
  41. Momentum
  42. Axis, (0-
  43. 7

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 27. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0043?run=74