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De Locis Solidis Secunda Divinatio Geometrica, fol. 74

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: 0.87.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. VIAC LHSM VINLHII DE LOCIS SCLIOI
  2. satur FM, acque ex l, B. D L da CL Pa L LC BL
  3. DO, LO.
  4. AF aequalis lemirecto Secciomis AB, ex constructiole, Cllal Lemiordina
  5. ta PB in Sectione eidem lemirecto aequalis exic; guarC pUnCtUM P ipsIuS
  6. datae FIyperbolie AB erit 2 FOcuS: id eoque distantia F P pocest B qua
  7. suus. drata semiaxium COniuSatOrU E A, A M datarum Sectionum, ideoque,
  8. dempro communi quadrato AP, remaner rectangulum P AO aquale qua-
  9. Arato AM.
  10. Intuper, cum siC P R axis contugvus tam oppositarum datarum A B.
  11. a ex COn-
  12. verL. PrIM
  13. huras.
  14. AM aequalis semiaxi coniugato F. P datarum Sectionum AB, CD, d iun-
  15. Jam. Qua in parallelooramm eca LIL: L re desatessel f
  16. CD, quam de(CTIpTaTI AR, CL, CTRINE RK, RL, _ ipAS OppOS.
  17. ta F N, FO inter se requales, icemque RB, RL, & oppOlX L. P, L
  18. aequales, sUNEquC RF, RH, _ F A, F C aequales, er80, de BR, DL,
  19. de PN, OO aequaleS CTUHC, itemque FB, HD, _ AP, C aqualeo
  20. erunr inter le.
  21. Ec quoniam lemiaxis F A ad Semiconingatum L L, vel ad H M CHM
  22. exprime C AM ad semirectum A C, exit quadratum F A ad quadFatUM AM, v
  23. COnic.
  24. linea E A ad AC, _ quadTATA F A, AM simul, Sive vnicum quadrarum
  25. EM ad quadracum AM, ve linex F A, AC, Cunul aet lineam A C, vel
  26. ex constructione, re linea CA ad AI, ee convertendo quadratum AM
  27. ad ME, ve linca AI ad A C.
  28. Prae erea rectangulum C P A ad quadratum P B (in Sectione AB) vel
  29. ar. primi ad quadearum NR est vE d SeMItFAIISVeNSIM E A ad (eMIrCCtUM AC, 8
  30. quadraum NK ad rectangulum CN A est ve e semirectum I A ad se
  31. M. Mitran(versUM AF ( in Sectione AK) ergo ex aequali in FAIONC PerCUI
  32. baca rectangulum C A P ad CN A, vel rectangulum P AO ad N AO
  33. est ve semirectum I. A ad semirectum A C, vel ve quadratm A M dd
  34. quadratum MF, Sed permucando rectarisulum P A Qaequale est quadrao
  35. AM, ve superius octensum fuit, ergo ee rectangulum N A O quadeato
  36. ME aeguade ett sine quadraO E. P. C virunque enim quadiatorum L. ist.
  37. Conic.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 74. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0102?run=74