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De Locis Solidis Secunda Divinatio Geometrica, fol. 140

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: 0.88.

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

The machine reads it as

  1. 140
  2. BINCENTIE VINTANT DE LOCIS SOLIDIS
  3. PROPOSTTTO LXXIII.
  4. A Tliperbola. Leo ranationis ramoram ad oridt.
  5. bola sibi concentricae, cujus axis transuersus sit Mo-
  6. dulus ex Asymproto, qui ad suum rectum latus est 2t
  7. latus transuersum datae FIrperbola ad summam late
  8. rum ejusdem.
  9. sicit cerstei
  10. SIO Fyper bOla A B C, cuius vertex B, axis transuersus V B, cen
  11. tum E, in quo SIE daTA FaOTM OriGO, A(yIPEOEi VerO (INE LF.
  12. EL, vercicalis cangens BI, trianguluim autem FP P AErmprocale nuncu
  13. Datum, d RF P circumasymptocale, 2c Fandem NL, ModuluS ex ASyM
  14. Ptoro, inventus per F HIM axi DF Parallelam _c. prout in definit. xviij.
  15. Xin. XX. DICO G per verricem L circa axem L B D describatur HyperbOla
  16. OLH dutae concemrica, cuius axis prantuersus Ex Modulus NL. quique
  17. ne incentro, est ad Locum concauum alterius Flyper-
  18. 2d THIM FCCIMMI LaIUS hC ve datae trantuertus aris ad ipsius laterum sum
  19. mam, huius FIrperbola ConcaUUM eNC FimiteM PEODOLTUI.
  20. ita quadratum F B ad quadracum B F, _ componendo per conersionem
  21. racionis, et condertendo. ve trantuertum ad summam lacerum, ita qua
  22. dracum FB ad summamm quadratorum F B, BF, vel ad quadratum FF,
  23. vel ad quadracum sibi requalis extenta BR C ex Moduli inventione) hoC
  24. est ita quadratum FI. ad L FI; sed est quoque vecransuertum latus ad lum.
  25. mam lacerum dacae Eyperbolee, ica semiiransuersus F. L. delcripeae Hyper.
  26. bola
  27. . COnE.
  28. Procucatur, descripta FIyperbola CSL. R, quae verticali contingenti occurrat
  29. O. 2. acque huic ex L. aequice L. 11.
  30. lam, Iuum (ic PF AIymptoros dacae ABC, d F B semidiameter tran
  31. ex prima versa, BF vero ad verricem contingens, exie ve 2 transuersum ad rectum.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 140. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0168?run=74