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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 151

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: 0.86.

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The machine reads it as

  1. Cap. XXIX DE M AOKIBOS.
  2. ee Sic deinceps in intinicum. Po concra proporcionis (sive Racionis) Submutei.
  3. Plicis species Punc, Subdupta, Suberipta Subguadruptam cec. vel etiam Semiltis, Tet
  4. ens, Duadrans, ec. vel eriam, Pars dimidia, cerria, quarca, decima, cencelima, mil.
  5. Lelima, dec. OxXCC ibecor etVetO TErape SUeO Ernue XS
  6. ubecor, eCC.
  7. Ouancitares aurem quancicacum Sguimulciplices, Fuelidi aliisque, dicuncur,
  8. quas tix respectire parces per eundem numerum metiuruY. Vel (quod perinde
  9. CH) Prima lecuncae, ee cercia quarex aeque mulciplices lunt, quando prina lecun.
  10. dam locies praecile concine quocies cercia quarcam. SiC QuaterMaPIUS BIMaTII, e
  11. lenarius cernarii lunc aeque mulciplices; ucrobique scilicet in Pro. o
  12. porcione dupla: quia cum illum bIarIUS, cum hUNC CerNaTIUS, PeF 2) 4 (21
  13. BInAEIUIM MCEICUE; e LOLCS, Z, I 4, GuOTICS 3 IH 6 CONLIMeNTUII,
  14. nempe ucrobique bis.
  15. Pacio (live Provorcio) Superparticularis, est racio majoris
  16. 316C2
  17. quancicacis ad minorem, quando major minorem semel quidem, nec sapius con. particu
  18. rinec, led et iplius parrem aliquocam. Sic 3 ad 2, et 6 ad 4,
  19. sune in ratione lyperparciculari; ucerque enim numeruS anCC 2) 3 (2 5 = 3
  20. dens consequentem luum lemel concine de iptius insuper le.
  21. millem. Virilo nempe nuNETO majorE Ber minorem, Prodibu 4) 6 (23 = 2
  22. ucrobique Ouoriens 13
  23. Fujus Rarionis lpecies sune, Sesquiallera, Sesquicertia desquiquarra, Sesqui
  24. quinta Sesquidecima, Sesquicentesima, Sesquimillesima de lic deinceps in intr-
  25. nicum: prouc seiticet major minorem lemel concinet, ee iNLIIPEE MINOTIS PaITeI
  26. dimicliam, cerciam, quarlam quincum, decimam, cencelimam, millelimam, ec.
  27. 3
  28. ee2O) TEV (L, 1 = id
  29. D). 1OF (1,0
  30. 00) 100Y (1,001 =
  31. 10000) 10007 (1,0001 = 10
  32. Obi aurem major ad minorem est in racioné Superpartieularis selquialiera, lel- Sub suver-
  33. quiTErEIA, SC. CxiE minor illa quancuas ad majorem in racione Subsuperpartiulari particu-
  34. lublesquialera, sublesquitertia, sc. Sic 18 ad 26 lune in rarione lelquioctara, laris.
  35. (nempC uc 9 ad 8,) erpo 16 ad +8 in ratione sublesquioctava Et Paruer in E-
  36. milibus. Apud Aristorelem, Subecos e emubecos hoc sentu occurrunt MecapH. 4.
  37. et alibi. Fic apud alios pastim.
  38. Pacio leu provorcio Superparciens Bmueis elt racio quanticatis majoris ad mino super-
  39. rem quando major minorem semet quidem, nec laPIUS, COnTIHEI;
  40. sed e aliquor inluper iplius parces aliquotas. Sic 5 ac 3, TunC In
  41. ratione Superparciente: numerus enim quinarius cernarium continet
  42. 315.(13,
  43. Partiens.
  44. temet, et duos isUDCI ipIUS CICMIES. Si enim 5 Der 3 aiVIcaMUS, exII quO.
  45. Tiens 13.
  46. Flujus proportionis species, duplicem characterem postulant. Cum enim ma-
  47. jor minorem concineat, ec insuper aliquot ipluis partes aliquotas; dicendum elt,
  48. quot partes, et quidem quotas continet. Priori respectu dicirur, Suxerbipartiens.
  49. Supercripartiens, Superquadripartiens, Super decupartiens, _C. Drout quancicas
  50. asor, Pralet plalnote coreat pet iplius parres aliquotas, duas, tres,
  51. quacuor, decem, dec. Polteriori respectu dicirur superpartiens tertias, superpar
  52. criences, quactrantes, _c. hoc et, Palle terriae, quarca, quinta, decimae, cencesi
  53. Ma, Scc. Sic racio numeri 5 ad 3, vel. 10 ad 6, elt luperbipartiens cercias: Major
  54. enim minorem ucrobique lemet continet, et insuper duos iptius crientes, ut ex
  55. divitione lyeel. Sic 7 ad 4 elt supextriparciens quarras. P.L pariter in Simi
  56. ibu5.
  57. tiens quartas, quintas, decimas, centesimas, ec. Prour parces illae aliquocae lint
  58. 5) 7(15
  59. 5) 8(13 2)10127
  60. 6) t 18
  61. 200) 207 (1,07
  62. 5(13 8) 25(18 100) 108 (1508 = 1 , 8
  63. n

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 151. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0171?run=74