Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 100

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: 0.90.

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The machine reads it as

  1. 25
  2. jus4 lemihyperbolam BKL. eNe aequalem superAciei trunct
  3. supercurua parabolica DB I sectx a plano perreccam DB
  4. transeunee e in angulo semirecto cum balc erunci inclinan.
  5. ec; e ideo, cum quacrarum recea X sic duplum superticiei
  6. trunci eric Xradius circuli aequalis superficiei genitx aro
  7. huius carione curuxe parabolicx cirea rectam D B, quod demon
  8. Arandum Crac.
  9. Fx hac propolitione pater Pemihy perbolam DKL. eNe ma-
  10. enicudine ee granicare analosam cum Cuperticici: ex haC,
  11. ancecedente e huius 38 non difticile est invenire centrum
  12. Gravicacis curux parabolicx rel eius portionis cuinscunque
  13. datae, guod admonnisse CuHciaE.
  14. PROP. 53. PROBLEMA.
  15. Invenire centrum gravitaris semicylindri recti oblique secti.
  16. IE circulus BC OOcylindribasis, cuius diamerer B,
  17. a lirque recta B A circulum eangens in A semicrsindriat
  18. sicudoxequalis rectae BC, perinde enim elt cum omnes Pemi
  19. cylindri luper eadem balc unc analogi, quae producarurad
  20. parces Bindehnire, sicque ei parallela ee indetinire longa
  21. recta PE; AAnECTIAM AP, CR, DT, parallela dimetroB)
  22. ee dueotur AZ recta reliquis le habencibus ve in Agura. Sit
  23. Sigura CRM ealis nacura, ve (dueta rect a quaCUnque EYKMI
  24. paralLela rectae PC) FY SE Ad FY DE OT ad RM: ABUTa CRM
  25. eM analoga maenieudine et gravicare Cemicylindro; acque
  26. huius fipura scu semierlindri cenerum aequilibrii ita invent
  27. EUT: AnEC R, RS aequeles reliquis se habencibus re in figu
  28. ranhacque tigura DOT ealis nacurae, re (ducta recta quacun-
  29. que F XKMNC) EY HE AAKL VEK Mad NO; de Agura DOI
  30. circum scribatur rectansulum DV: sic deinde re figura CRM
  31. ad siguFAM DO T ita F. Y sCu R C ad C Z, manifectum est ex
  32. hnius 37Q eAC CBMrum aguilibrii ABUrX C. M Ri ABurA AII
  33. EC

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 100. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0116?run=74