Leibniz Legible

Machine transcription of the Leibniz Nachlass

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De Locis Solidis Secunda Divinatio Geometrica, fol. 30

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: 0.92.

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

The machine reads it as

  1. VINCEMTM VIVIAMI LRO LOCIS.
  2. tr, Secare laterales tangentes A G, C R extra verticales BG, KR in
  3. FI, M, X ordinuis ITL, MN, LegMeHEA DL, DM aequalia esse, adeo
  4. que punctum bilecans L. N cadere I FMlip(IS CenruM C.
  5. roniam, in singulis fieuris, prima excepta, dum ex occursibus IY, M.
  6. n quibus, verricalis tansens BC tranversum aptata ex data ori-
  7. Sine D, in anculo recto D BC, in DT, convenit cum laieralibus
  8. tancentibus F A, C F) ad axem D B ordinantur rectae HIE, MN, frequen-
  9. ter, ad ea quae seguuntur, vir opus est axis sermento D L ab ipsis ordina-
  10. is abscisse; hoc in posterum MODVINM EX VERTTCALI appellabimus.
  11. Punctum vero Y Nodulum bi fariam SecanS, C ENTRVM MODVLIEX
  12. VERTLCAL I nuncupabitur.
  13. P ROPOSITTO XVIII.
  14. N quacunque Coni- sectione. Ouadrata ramorum ab
  15. origine inter focum; (a verticem; in FIlipsi autem
  16. prolata, ab origine interna obicunque data, sunt in-
  17. ter se, et rectancula sermentorum axis inter ordina-
  18. tas ex terminis ramorum, Ca terminos Aloduli ex verti.
  19. cali interceptorum.
  20. StO ABC vel ParabOla, vel Fyperbola, in prima fsura; vel FIII-
  21. Plis oblonsa, in secunda; vel prolata, in tertia, d quarta, e quarum
  22. 42.5 BD, vertex B, tOCUS F, inter quem, de verticem B in prima, de le
  23. cunda, vel reicunque in tertia, de quarta si Oriso D, Per quam tran
  24. Peac balis circun (eripei exianguli A E C, vel, ve in quarta Aigura, axis
  25. maior AC; ad cuius extrema puncta A, C, contisant rectae SH, TP,
  26. lique in omnibus NL Modulus ex verricali, _ alius quicunque ramus
  27. DK, ex cuius terino R sic ad axem ordinata R O. Dico quadratara
  28. MOTUM DB, DA, DI, DV, ac. ese inter se ve rectansula NOL,
  29. NDL, NBL, NVL, aC.
  30. Producatur verticalis contingens C P v(que ad lateralem F. C ad P, 8e
  31. ex K ordinetur S Y lacerales lecans in S, T, sectionem vero in Q. de
  32. axem in O.
  33. Ex quoniam verricalis B C aequatur transuerlim cOaptatae DP, erit qua
  34. dratum BC, Sive rectanculum CTP cum quadrato IB aequale quadraro
  35. BI. sie duobus simul DB, BL. ee dempto communi quadrato B 1, su
  36. perexit rectansulum C LP aequale quadrato rumi D B.
  37. Tem

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 30. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0058?run=74