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. 67

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: 0.91.

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The machine reads it as

  1. DE CTCFOIUIS
  2. diamerer semicirculi, congruat C F laceri trilinei. Deinde su
  3. Der idem planum, moreri incelligatur idem lemicirculus inva-
  4. riaco angulo, a CF ad C B, _ lic deinceps usque ad A; hOc
  5. mocu deleribens Semicrlindrum: Ouem Semieslindrum A sC-
  6. cet planum rectae A C perpendiculariter intillens, abl-indicur Se-
  7. micrlindri Porrio (super C AF eriangulo jacens) ex intinicis Pa-
  8. ralleloorammis conslaea, quorum bales inrelligantur ordinatim-
  9. applicacae in balus Semieplindrica Pernicirculo, alcicudines arich.
  10. mecice. proporcionales triangulum C AF complences. Sin eun
  11. dem semicplindrum secet superticies currata perpendiculariter
  12. inuiltens curra CL. A, abscinderur Semicylindri Fragmentum (AC
  13. enim libet, distinctionis cauta, vocare) SuPeF C Z A F crilineo
  14. milto jacens, ex P’acallelogrammis item intinitis conslatum, quon
  15. rum bases intelligantur eadem 2 Y ordinacim applicarae in Pemi-
  16. circulo, alticudines vero J2 crilineum CZ AF complentes.
  17. 67. Hlaec autem duo Colida, nempe Porcio semicylindri, plino
  18. abscissa, e semicylindri Fragmentum, abscissum superkcie cur-
  19. vaca, sunc quoad magnicudinem inrer se xqualia. (PFoPter, tum
  20. binas qualris rectas 2 Y in base, verinque à medio aequaliter re-
  21. mocas, invicem aequales; cum binas ubique his balium rectis
  22. congruentes alcitudines, sire in crilineo misto, sive in criangulo
  23. rectilineo, simul aequales rectae AF.) Ucrumvis siquidem Semi-
  24. cylindro ejusdem balis, semialco, aequale.
  25. 68. Sunc aurem eadem duo Colida, quoid momentum respectu
  26. AF rectae, inequalia: Propter eranslatum id corum quod in al-
  27. cero insistie bilineo BA; ad scum BC in reliquo.
  28. 69. TH aucem Porcionis, criangulo rectilineo incumbenris,
  29. momencum respectu A F rectae, Z1, DZP2 = L D P2, 2D. (EA
  30. enim Cemicirculus) FBC = Y DP, _ Cemialcicudo Z AF = à P
  31. adeoque porrionis magnicudo, E DP =; quae in 3 D distantiam
  32. centri gravicaris ab AF (per 857) ducta, dac 25. D= P= Porrio-
  33. nis momentum.) Fragmenci vero, crilineo micto infictentis
  34. momentum respectu ejusdem AF reCEX, elt (per S 1O5) = REP=
  35. ina R-14) 2PZ Da. Unde (I AuTCTatuE POrriOnIS mOmen-
  36. eu 236D2P=, habeTUT - 5- D- P=
  37. D monentoru differentia,
  38. 70. Fc consequenter (cum haec momentorum differentia non
  39. aliunde proveniae quam ex segmenti bilineo B A insistentis in
  40. Exum B C cranclatione,) s illa momencorum ditterencia incelli
  41. SaCUI

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 67. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0075?run=74