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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 208r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 207v); this page is its right half.

The machine reads it as

  1. Invenire aream deti Ancierianguli Sphaericis et angutos ejus, aeque
  2. varia de eo explicare.
  3. P28. 32
  4. Si criangulo birectansula hac ad ejus verricem xquilaterum aequale, la-
  5. cus aequilateri productum, ablcindet in cercia parte complementum
  6. anguli verticalis dicti birectanguli IColcelis.
  7. Pa8. 134.
  8. Si lacus aequilateri crianguli facti ad verricem IPolcelis birectansuli ab-
  9. Ccindat in cercia parte complementum anguli verricalis dicti Ilolcelis,
  10. eric iltud aequilaterum illi Hosceli aequale.
  11. P28. 350
  12. Si complemencum anguli ad verricem IColcelis birectansuli per arcum
  13. diridatur incertia parte, qua vicina est nonagelimo arcui; ille arcus
  14. divitor Faciec angulum in puncto verricis qui erit angulus aequi-
  15. laceri aequalis cum Ilolcele illo.
  16. Pa8, 36.
  17. Si criangulo Sphaerico Hoscelibirectangulo, hatad ejus verticem e qui
  18. lacerum aequale; hujus aequilateri angulus erie compolitus ex 60.
  19. sradibus, de cerria parte anguli verricalis iphus Iolcelis. p25, 36.
  20. Si trian guli a quilateri an gulus compolitus sit cx 60. gradibus de exter-
  21. tia parce ansuli verticalis crianguli Iloscelis birectanguli, erie trian-
  22. sulum aequilacerum criangulo Vosceli aequale.
  23. Datharca IColcelis, invenire aequilaterum ipsi aequale.
  24. P28, 37
  25. Pa8. 38.
  26. Si Spharico Tlolceli Birectangulo hac ad ejus verticem aliud llosceles
  27. aequaleprioris tantae parti, quanta ipCum posterius ek pais certi poly.
  28. soni regularis, de habens in verrice centralem anoulum illius certi
  29. volygoni; angulus ad balim iltius posterioris Hoscelis, compositus.
  30. erit ex Cemiangulo polygoni rectilinei regularis, cujus assumptus oA
  31. centralis angulus, ex ex dimidia parce cantae portionis anguli verci.
  32. calis prioris Iloscelis, quor habet Polygonum latera.
  33. P25. 40.
  34. Decerminare limires ansulorum, quos habet quodibee Polygonum
  35. Sphaericum regulare
  36. P25. 42.
  37. Dato angulo Polygoni Sphaerici regularis reperire aream ejus, d
  38. IColceles birectangulum aqualc.
  39. Pa8. 43.
  40. Dato IPoL:ele auc quolibet Scaleno, reperire illi Polygonum aquale:
  41. AUE CONETA.
  42. P28. A;.
  43. Daco lacere Polrgoni Sphaerici regularis, reperire angulum ejus, de
  44. aream, icemque Tlolceles birectangulum ipl aqualc.
  45. Pa8. 44..
  46. Dato vel latere vel ansulo Polrgoni Sphaerici regularis, iplum
  47. delcriber
  48. P23. 45..
  49. Datis duabus Asuris Splxricis. Similibus invenire carum proportio-
  50. nem.
  51. PaO. 45.
  52. Dacum criangulum Sphaericum dividere in datas parces: item in datai
  53. Pa8. 46.
  54. Data acea qualibee, vel muleitudine graduum quadcatorum . Inrenire:
  55. Polrgonum xquale ips Sphericum res ulare.
  56. Pac. 47.
  57. Explicare.
  58. Lactolle.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 208r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0417?run=74