Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 43

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: 0.87.

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

The machine reads it as

  1. E A L. L 20
  2. ex semicireali.
  3. PuS ContaCtISNON. guanEuS. Ouod erac oBenden lum.
  4. 3 Cmonium magnicudo ansulicam externi R, quem in-
  5. cerni ejusre Tenrittis C A L, X simanca SIE CX BUIMErO LAFETEIRE,
  6. (aEoRenlum cA) adcoq; Reurx regulaces eundem lacerum pu-
  7. merum habences habeane cciam ejulmoci angulos aquales: (I
  8. concixiatur circusus ut Polygonu inAIDiEOTRMI LCFETUMI, COM-
  9. cipienda Cune intinica latera unius circuli coc quoc infinira illa
  10. lacera alcerius circuli (secus enim non ellent circuli Reura B-
  11. miles) e conlequenter crumt eam anguli concactis aquales
  12. quam ansuli lemicirculorum; (quod lupra atiis arGUENEIS
  13. concendimus:) Unde lequetur, Angulos concactiis esse nOm-
  14. quanccs. uc suxea eciam ostentum eR.
  15. 4 Idem alicer sic Facebic. Si a cenero Polysoni repularis
  16. vel, quod idem cA circuli circum Fcripei) duestur recta ad
  17. Polygoni perimecium duosucrinq: angulos aeguales Faciens, e
  18. ric illa vel laceci perpendicularis, _ C. L, vel ad RgurR EneU
  19. lum dueta nE C A; (nam, licubi alias ducarur, maniseRum
  20. ettaneulon obliquos ticri, _ inaquales.) Manifectum eciam cl,
  21. differencium rectarum C A, C L, TemDEF M IBOI, PTONC NUME-
  22. rus lacerum avgecur, ulq; dum eandem in Polygono infinice
  23. rum lacerum, sive Circulo, c vel intinice parvo vel nulla: led
  24. hoc obirer. Supponamus jam, ut prius, pro circulo Polygo-
  25. num intinitorum lacerum: Ononiam aurem raclius cum peri.
  26. Pheria anculos Facic aequales, (ut manilestum cA) concipiem-
  27. dus cA vet uc recto C L. (2d medium laceris) vel uc C A (a8
  28. angulum:) siprius supponatcur; erunc anguli rectis (nam recta
  29. acencro ad medium laceris Polrgoni resularis ensulos rectos
  30. Facic:) Si Pokerius; lalcem (cum omnes ractii linEae quales, au
  31. acoq; C A, C. L, 291ales) erune ansuli C A L, C, L. A, 2-
  32. quales per SCZ; id CO9: _ utergue 1CAU: C AnpuluCZMTe
  33. At CL nullus crie, scd ipta crura AC, L C, Coincidenc. ) I-
  34. crumris isicur supponatur, eric angulus Cemicirculi recto re-
  35. eilineoxqualis; e propierea anguus concactus elE non. Guan-
  36. C18. Ouoderac dementerandum.
  37. 50 Subungan huic argun eneo eriam hanc speculacionem
  38. non ablimilis naturX. Si ongutuS CONEACHIS FAP HC VerC AII
  39. sulus; runc _ reliduus ad duosrectos erie vere anerslurs, ucM.
  40. DE E A P, vel P A N, qui coninecurrcC a candeme e Pes ip C
  41. eta Eemicirculi rem OcIOTIS, PUca T A 8L A F, vet P A EE AN.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 43. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0063?run=74