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De Locis Solidis Secunda Divinatio Geometrica, fol. 101

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: 0.86.

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

The machine reads it as

  1. ORDIHATTONVM CONHC. LIMETTOVS LIB. I.
  2. vein omnibus Rguris superius conclusum sic, ergo de rectansulum VCT
  3. quacrato L. O aequale erie, si his igitur commune addorur quadeatum
  4. LC, erit rectangulum V C T cum quaciraro L. Ci. vel vnicum quadra
  5. cum L T aequale quadratis simul OL, I C7, Cuure vnico OC: quare OC
  6. Lamus ad Parabolam aequatur semiordinatae L Y vlque ad Eyperbolam
  7. AF, ee sic de singulis, ramis, de Pemiordinatis ad veranque partem axis
  8. OB. Duare convena huiulmodi oppoluacum sectionum, Cunc Limites
  9. Orcinacionis propoliae. Duod erue cc.
  10. 2
  11. X his haec necessario sune animaduertenda.
  12. Primo distanciam, ceneri Limitum a verrice catae Parabolae x
  13. qualem ese differentiae inter iplius lemireccum latus, de ramum verricalem.
  14. Dam IB, quae est distantia a cenero, Limitum l. ad vercicem, B date
  15. Parabolae, est difterenia incer Ol semirectum, et ramum verticalem OB.
  16. 2. decunda, quando duta eris0, aittat a Versice Parabolae per itet-
  17. nallum non minus sua semirecto; cunc lemaxis cranshersus Liminum min
  18. nimo ramo ex originc ad Parabolam ducto aequalis est.
  19. l
  20. In prima enim ficura, in qua semirectum L incidic in verricem B, 23. lecundi
  21. ipla OY est a ramus minimus, que lemiordinacae BR, vel semiaxi BF. notra Di.
  22. aequalis demonstrata fuic.
  23. In secunda vero, (iunea O 3 ab origine vlque ad incerlectionem le
  24. miaxis PF inventi Limitis cum Secrione Parabolae AB). Ouum OY alci
  25. cudo rami 03 Cu equalis semirecto Parabole, ex constructione, erit 0 3
  26. minimus b ramus ex origine O, Led ramus 03 equalis est ordinate LF, ibidem;
  27. vique ad Cimitem (ex demonstratis in superiori) cuius ipla LF. si semia
  28. is tranluersus: Quare patet ec.
  29. 3. Tercio, quoniam, in Parabola, axis OD trianguli circumseripri
  30. ADC cd maior est, quo masis oriso O distat à verrice B, e le8
  31. mentum OI, in sinculis feuris, Cemper idem est, nempe.
  32. u us ase OD; reliquum scemencum DL)cd liB.
  33. maius exie, qud masis, dista 1. ACB FCNM
  34. bic orieo Oa vercin S ecib 10
  35. ce B.
  36. (5 125
  37. Rectargulum X1 B o
  38. itaque OID, siue quadeatum medie IF,
  39. hoc est ipla PP. semiaxis cransuersus Limirum cd
  40. maior eric, quo magis datqu oriso a date Pa.
  41. rabole vertice removetur, adeoque ipso.
  42. rum Limitum, leu Sectionum opposi
  43. tarum F. A, OC, lacera semper.
  44. magis augenur: nam ipse
  45. SECLIONCS PONUINEE ~. E 11II t
  46. qualium laterum. WL
  47. UIMac. In
  48. PoII
  49. D ex 20. lec

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 101. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0129?run=74