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Machine transcription of the Leibniz Nachlass

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Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 210

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. FiC. pa8.
  2. flatel.
  3. De Ceodaest _.
  4. C AP. 24.
  5. esse pedes quauratos, aut quidem totidem quadratis pedibus aegualia, uIut
  6. quaruor lineis pedalibus terminentur sineula. Rhembi nempe lunt
  7. non quadraca, proxcer obliquicatem ansulorum, cum quadra-
  8. ea omnia (ex detinitione, line rectangula. Sed ee quadraris mi-
  9. nora lune, propter eandem obliquitatem: quod iplum evenic in
  10. aliis parallelogcammis omnibus, sive aequilacera Hnc, sire inse-
  11. quilatera, hoc est, sire Sinc Rhombi sive Rhombidea; minora
  12. nempe lunt quam si essene rectansula, quamris iildem lincister-
  13. minata. Ouod sic demonstro Geomerrice: (quippe cum de
  14. Lolosicu agitur, qui ad Ceometriam peculiaricer accinet, de
  15. monstracio prichmecica rix locum habec.)
  16. Sic parallelogrammum Rectangulum AB, eiq. iloperime
  17. erum Obliquangulum DC, ica ut lacus DB Ec ucriq; com
  18. mune, _ DC ip(DA aequale, (reliquaq; lacera sibi opposcis
  19. parallela _ aequalia.) enamvis aucem latera BC, DO; paral-
  20. lelogrammi obliquangulis Cine sigillacim
  21. aequalia laceribus BF, DA, parallelo-
  22. srammi Rectanguli, (e reliqua reli
  23. quis;) est camen iplum parallelogram.
  24. mum oObliquansulum DC, minus Re-
  25. ctansulo AB, Xquale quippe Rectangu
  26. I0 TIB. Producatur enim lacuS C (194
  27. H: ericq; OHI == F HI, Cguia cam C G quam F H aequancurip
  28. A BB, Oppolico laceri in ucroq; parallelogrammo; ec, eadem
  29. ratione, HD = FB, eDC == BC, (sedet angali ad B, C,P,
  30. aequales angulis ad D, C, H,) aequale ele igicur criangulum
  31. DIO, crionsulo BFC, (eiq; congruit;) quorum priori (i ad
  32. dacur commune legmencum BDOF. hc parallelogrammum
  33. rectangulum HB; lin posteriori, fic obliquansulum C D,
  34. quod isicur ipsi HB ae quale cst, _ ProDterca minus quam AB,
  35. quod erac demonstrandum. Ec similicee procederet demon-
  36. Eracio in parallelorrammo quoris obliguangulo.
  37. Pacerisieur 12 Phombos Parallelogrammi provosici Ob-
  38. liquansuli AB, minores esse cocidem ouadracis Rectansul,
  39. CD, uruc cam haec quam illi quacernis liveis pedalibus cermi.
  40. RenEUF.
  41. Si quaeratur intuper, quid impediat quo minus mentaras ex-
  42. primere liceat per Rihombooxque ac duadrata. ? Respondeo,
  43. Magnicudines explicandas ese per memluras certas, (lecus e.
  44. nin
  45. 2

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 210. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0256?run=74