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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 73

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.

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The machine reads it as

  1. CCCDF
  2. les: aequalia sune ergo Trionguta ANNY, AuM; _ GuoniaM BF
  3. Parallela est ipsI S N, _ n C ipsi uM, aequalia Cunc eriam Trian-
  4. gula ABD, ACK: aequales TunCigITUE AN _ Au; AM _ BS; AD
  5. et Ax; AC e AB: quare dempris conrinuo aequalibuS, aequales
  6. CTUNE NM X AS; ND _ SK; DC _nB.
  7. Problema.
  8. Data media erium proportionalium, _ differentia extrema
  9. rum, dare exEreMtaS.
  10. Sic media daca A D, eique ad rectos angulos POnatuT DZ X-
  11. qualis difterentiae extremarum, _ dividatur bifariam inS, cen-
  12. Ero autem S _ incerrallo S D describaEUL CIrCUIUS D UK, e Per S
  13. ducta Au SX; PONAEUE AM aequalIS A_, _E AC. aqualis AK. Ouo
  14. nia A D tansic circulum, ergo quadracum A D aequale eAt rect-
  15. angulOpAK; CrGO AM, AD, AC, TunC in ConiUa PEOPOTTIONC,
  16. ex MC. (diHerentIA exTremarU) aequalis est ipA DI.
  17. Lemma.
  18. Si fuerine magnicudines in intinitum decrelcentes SumnA
  19. Differenciarum aequatur maximo Termino.
  20. Sint Moenicudines aZ, b, c, dec, in infinicum: dico omnes
  21. carum aifferencias aequari ipsi a2. Si RegeCUTSiNE MaIOICS, e
  22. SIanE aB, 27, ds, c. aequales iPFIS b, C, d, C; CrUNE ergO
  23. L. B, B7, 3 8, 6, Partes ipliuS aZ; non unc ergomajores T0-
  24. 10. Sinc jam minores, quare xequales line ipE Z s, reliquo autem ast
  25. aequalis ponatur d, ipla eriam d Ponaeur ae minor; ergo addica
  26. elt alia difterentia s E, quare Z E elt aequalis summae omniu diste-
  27. remiari, ergo Z. s aqualis est ip(i ZC, major minori, quod est absur.
  28. di.sErBOZ a (cum lic neque major neque minor) aequalis est sum-
  29. mae omnium in infinicum differenciarum.
  30. Lemma.
  31. Dinarum magnicudinum differencia, aequalis es differentix
  32. incer Cummim ee duplum urriulvis. Paret addendo aerique
  33. IABMIEUdIML MIMLMAM, Vel UEEIQVC MAIAM.
  34. Desinitio.
  35. Polroonum Serratum est fgura constans alcernatim ex laceri-
  36. bus sibi inricem parallelis, _ loceribus obliquis. Sola autemm la-
  37. ceranon porallela voceneur simpliciter Lacero.
  38. Polygonum Serracum circulo Circundas dicitur, quando
  39. unusquisque angulus internus cir culam arcingII. Aeque idem cir-
  40. culo inseri dicicur, quando unusqui sque angulUS ExTerNUIS CIrCU-
  41. lur
  42. 5.
  43. F18. 19.
  44. 8. T7

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 73. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0081?run=74