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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. 217

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: 0.91.

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

The machine reads it as

  1. eetat.
  2. cim irregulattou, sela dener ticura mulcangula in TOE
  3. Parallelogramma vel criangula quoc tigurae racio pottulac, de
  4. prout calculo magis videbicur expedire; quod cujusqi pruden.
  5. tix permiccendum erit.
  6. Si verofigura mensuranda, quoccunqe demum, habuerie la Mensuratio
  7. cera, Regularis sic; hoc ett, quae ium omnia larera invicem aegnalia, fieurae reet-
  8. ium omnes anculos item aequales habeat: calculus lic commodelaris.
  9. poceric insticui. Invenio ficurae regularis centro, (quod e circuli Cire
  10. inCcripci Cire circum leripri cenerum est, uc ex principiis Creo.
  11. merricis liquet, e a lingulis lareribus ae qualicer distane;) recta
  12. aceniro in latus quodvis perpendicularis, si in semiperimetrum mulsiplice-
  13. tur fieurae recularis aream exhibebit.
  14. Exlempligracia Sic Sexangulum regulare (puta aequilare-
  15. rum e aequiangulum) circulo inscripcum. A cCnErO C ad
  16. lacus quodris DE agatur perpendicularis C B; haec ducta in
  17. semillem perimetri sexanguli, vel hujus Cemiltis in perimecrum,
  18. exhiber corius arcam. Nam, ductis cruribus CD, CF, Forma-
  19. cur crianeulum CDE, cujus
  20. area eA CBX = DE, vel ZCBX
  21. DE, (uc ex calculo criangu.
  22. li Superius cradico liguet.)
  23. Icem, ductis inluper ab co-
  24. dem centro C 2d reliquos
  25. Texanguli angulos coridem
  26. rectis, constiementur eoc cri-
  27. ansula quoc lune heura la-
  28. cera; eruncq; ea lingula crr-
  29. anguloCDE. aequalia x (PFO- F per 4 C L.
  30. Peer cum aequales rectas a
  31. cenero, quipre quae sunc radtii circuli ambientis; cum aequales
  32. icem rectas in ambicu tigurae, uc qua supponirur aequilacera:)
  33. cocies icaq; reperer da eric praecedens menlurario, quor Tunc R-
  34. sucae lacera, quia coc erunc criangula inricem aequalia; puca
  35. CDE = CFF, Qc. figuram incesram complencia. Hoc est, in
  36. expolica sigura Cexangulari, area crianguli C. D P Eexies reperi-
  37. ca, exhibec rorius aream, puta 6C BX = DE vel ZC BX6DF
  38. vel C Bx 3 DB; ductonempe =C. B lemisse perpendiculi, in pe-
  39. rimeerum sDE; vel perpendiculari C B in Cemillem perimerri
  40. 3DdE. Aeque limilirer laciendum eris in alia quavis sixura
  41. regulari
  42. t
  43. De Geodaesa.

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. 217. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0263?run=74