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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. 5

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. L CLCDLVE.
  2. FrunE anguli omnes HV _ ZE8, BB8, _c. Xqualestum inter
  3. se, cum angalo L. n A, cum eriam cuitibet angulorum A F L, l F M,
  4. M F B, _C. qui icem (PrOPTer aquAleS aECUS FL, L M, M D, EEC.)
  5. Cune inter se aequales.
  6. 25. Ductis porro cum in Crcloide rectis NO, Z P, BR, EC.
  7. cum in circulon O, 2P, DF; QC. inscribacur cum Cveloidi F-
  8. sura ex Traperiis, cum circulo figura ex Priangulis correspon-
  9. dentibus COnEAHS.
  10. 26. Frunt aurem illa Prapezia, Triangulorum horum respe-
  11. etire sumprorum, ubique plusquam cripla. Constat enim quod-
  12. libet Frapeziorum, ex Triangulo Cimul ec Paratlelogrammo:
  13. quorum illud, criangulo correspondenti in circulo (uc ex dictis
  14. Facile collisitur) ubique aequale est; hoc. illius (ue jam octen-
  15. deCUE) Plusquam duplum.
  16. 27. Nam, verbi gracia, in Traperio ONvF, Triangulum
  17. On F est uerique tigurx commune; _ Parallelogrammum N n P
  18. aequialcum) plusquam duplum Trianguli, proprer rectam Nn
  19. hoc eltCurvam nC, majorem n O recta.
  20. 28. Sin aliud TUMatUE TraPerIUM, DUCAPZGV; Fric inibi
  21. Triangulum Pr ~, triangulo p F Z aequale; & Parallelogram-
  22. u ZEr r Dlusquam duplum, Dropter rectam Z X, hoc eAt
  23. C. V, hoc elt CUrVaM ZH, MajOreM quaI Z P, vel X P. Nam si
  24. aPcetUE chorda ZH; erit angulus D F X (propter tum semipe
  25. ripheriam CZ F, cum angulum rectum C F A, in (EX PAETeS ~
  26. quales divisum) = anguli recti; adeoque angulus X DF, hO5
  27. est Z DN 3 recti; cui s addatur angulus nZ D, qui est 3 recti,
  28. (subcendie urique duplo arcus Z C, mInuS ZH;) aggregatum d
  29. recti ex 2 rectis subductum, relinquer angulum 2n P, = recti-
  30. Major icaque est angulus Z Dn angulo Z H P, (RemDe uE 5 ad 4,)
  31. adeoque lacus oppolitum 2 n recta, major quam Z D; ideoque à
  32. Forciori, 2n curra, hoc elt recta Z. r, mulco major eric quam
  33. secta Z D, hOC CA N P. PE Similicer OltendeEUr C INSCTIPEX
  34. chorda b2) aneulum b F Z majorem esse angulo b Z P, (nempe
  35. UE 42d 3,) e sic alibi. Nempe, universaliter, ( DONAIUS AF
  36. cum semicirculi CF, adeoque angulum rectum CF A, dividi
  37. in Partes aequales mimeros; quarum arcus 2C, adeoque ec an-
  38. gulus Z FC, COnTIHCAE PArTeS numero n, (adeoque anguluS P FC
  39. PAEteS B= L, _ PFOPTCrCA anGUIUS Y PL, hOC CA ZD B, PAPTCS
  40. S- n

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 5. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0021?run=74