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. 10

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. quum autem eorum neutrum lIE, non licet (IC arguerC;) PExereF
  2. rationem illam 5 ad 2, quaerenda elt alia racio; nemve quam ha-
  3. bent noncuplum omnium ZZ. (Crez C arcuum arichmetice PFO.
  4. Foccionilium) in respectira Triangula v FP, ad duplum omnium
  5. 2 Y (linuum rectorum corundem arcuum) in eadem respectire
  6. ertangula. Hloc el (proprer criansulorum bases aequales) noncu-
  7. plum arcuum arichmetice proxortionalium, in reliduorum linus
  8. vertos ductorum (urpore Triangulorum alcieudines,) ad duplum
  9. Tiruum rectorum in eoldem sinus vertos; HlOc est (uE deinceps
  10. Fusius Octendetur 874. 8c.) uc difterentia quadratorum BasiS A F
  11. ex altirudinis C. F, 2d 5 quadrati C F, Tive uE 9 R F.9u 9C F9
  12. ad 2C F 9. Cui si adjungacur ratio 5 ad 2, hoc elt 5C F9 ad
  13. 2 C F9; HCE9 A F 9i 4C F 9ad 2C F9, ratio solidi ex se-
  14. miercloidis convertione circa C F, ad sphaeram circuli genico.
  15. FIS.
  16. 3r. Fodem fere modo eriam de Polidis ex convertione seg-
  17. solidi circa mentorum arguendum. amr ee hic omnia minuta Praperia seg-
  18. rrenti, verbi oracia EZ CF, circumducta: adOmnia MInULa
  19. Triancula sectoris I2 C sc circumducta, circa eandem rectam
  20. C F: TUHE UE 5 2d2, aeque insuper, uc noncuplum omnium 2 l
  21. in respectira Triangula, ad dupluri omnium 2 Y in eadem erian-
  22. oula: Iin ex hoc demum solido, auferaeur solidum ex convectione
  23. Praperii CZ YF circa rectam C F Factum; manebie solidum
  24. ex convertione segmenti C Z X circa rectam C Y.
  25. 32. Fepari fere procestu, si demista recta I X recta CF
  26. Parallela abscindi incelligacur segmentum Z. Z A; ictius seg-
  27. menti cum dimentio, tum ex solidi inde facti, sive convertione
  28. circa rectam C F, live circa rectam Z. 2, Facile colligitur. Sed
  29. haec InCeE quaeSIEA HON SUNE.
  30. 83. Ad centrum gravicatis inveniendum, supponimus ob dacas
  31. CF, AD, FI∞. T. dacam esse circuli quadraturam; adeoque _
  32. centrum gravitatis in seomentis. Nam ut, ex dato cenero gravi-
  33. catis in cireuli segmentis, colligi posle circuli quadraturam, jam
  34. ab aliis oltensum eAt; Sc vice versa, ex daca quadeatura Facile col-
  35. ligitur cenerum oravitatis in seomentis. (Ouod, ( Opus lIC, dein-
  36. cexs oltendetur 567 _ se99.)
  37. 34. Ponataus ieaque primo centrum librae in (7, ex rectam
  38. distat eit aa I (librae Transrer sa.) sirque ucriusvis semi-
  39. circule
  40. C FDC
  41. D
  42. F18. 1.
  43. Sermenta
  44. E
  45. Contrum
  46. Gravicatis
  47. Semicyelot
  48. nuntum

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 10. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0026?run=74