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De Locis Solidis Secunda Divinatio Geometrica, fol. 18

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.

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

The machine reads it as

  1. VINCENTHL VIVLANT DH LOCIS SOLIDIS
  2. ATF daca AB, de quaecunque acidira B C, ee per distanciam ipsi AB
  3. D aequatem huic aequidistet D F. Dico hanc esse Locum propolicum:
  4. nempe ordinatam CF. posse differenciam in-
  5. cer rectangulum A BC sub data, ee addita,
  6. de rectangulum BAC, tub daca, d supe-
  7. raddita.
  8. Manitestissime paret hoc, GuuIm REcta.
  9. culum ABC disserat a recrangulo BAC
  10. per quadeatum AB, sive per quadratum sibi aequalis interualli CF: er.
  11. B0 CF Porest differentiam praedictam; idemque de singulis ordinaris hu.
  12. juimodi dec. Ouaproprer recta D P eR Locus propolix Ordinacionis.
  13. duod etdt dec.
  14. sicto
  15. PR O PDSYFYO ZRVII
  16. Ocus Ordinatarum potencium differentiam inter re
  17. etanculum sub data, C5 superaddita, quae tamen
  18. sit minor quam dupla datae, (5 rectandulum sub coad.
  19. ditis, est Locus pianus; nempe concauum peripheria
  20. quadrantis Circuli, cuius centrum sit occursus datae
  21. cum addita, radius vero ipsa data.
  22. PT data AB, eique superaddira AC, qua lE minor dupla AB, _
  23. cenero B cum inceruallo radii B A; Ade guadrans Crculi P D ad
  24. parrem occurtus conddicarum. Dico huus peripheriam esse Locum piO
  25. Policum: hoc est ordinatam CD posse differenciam inver rectangulum sub
  26. daca AB, de supera Idita AC, de rectangulum sub coaddiris AC, CB.
  27. Compleaeur lemicirculus F D A, _ CX
  28. BA suma uE BF aqualis BC. EL quUIM AC
  29. sic minor dupla AB, eric A B maior BC,
  30. ee naior ipla BF: _ quum BA, BF; 8
  31. BF, B C sinc aequales, e reliquae F A.
  32. C F aequales erunc: led differencia inter
  33. rECFanGUIUM CAB, _ FCCCanCuum suB AC SE BF, vel reccahoulum sub AC.
  34. _ C B est rectangulum sub AC, AF, eltque AF aequalis C P, ergO
  35. differeuria inter rectangulum C AB. sub data, e superaddita, ee rectan
  36. euum AC R sub coadditis est eciam recrangulum sub AC, CF, hoc est
  37. quatraium ordinarx C D in quidrance Circuli; de hoc de qualibet simili
  38. oidinala: ergo coneuuum huio peripheris L. D MMt Locus propolia Ordi
  39. nationis. Quod erae dec.
  40. eRO

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 18. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0210?run=74