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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. 755

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: 0.89.

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The machine reads it as

  1. PFOD. XVII. DeChlculo Centri C arlatis
  2. Oux quidem A ra Fesura dindum versorum, sumpiis arcubus arictintet
  3. proporcionalibus; est eciam, alia consideratione, Fieura Arenum, Lumpris nemve
  4. Sinubus Verlis arichumerice proportionalibus. Sumpeis ueigue A V, AC, A =, ec
  5. Sinubus versis arichnerice proporcionalibus; (divila scilicee recta A a in parte
  6. quocliber aeguales) qua ipsis occurruE recta Z V, dC, CZ, ecc. aqualibus inter
  7. vallis diltitae lisuram Ara complences; hoc ellu eC, ed, ac eC. XQUanC areu
  8. bus correlpondentibus, AZ, AD, AF, ecc. e sic ubigue.
  9. Ductis jam in Semicirculo rectis Xa, Z o, Da, _c. dirimi intellisatur Semieir
  10. culus in iocidem Sectores Aa X, XL aZ, Z. a D, _C. QuOTUM arCUS A X, XZ, ZD
  11. Ecc. sine aequales; adeoque Sectorum Xa A, Z. ∞ A, D a A, eC. aFeUS A A, Z A,
  12. DA, _c. arichmerice proporrionales.
  13. Ouibus quidem arcuum aqualium Sectoribus A a X, = a Z, Z. a D, _c. respOn-
  14. deaur, in tisura Sinuum verlorum, quadrilatera A aGX, XE(2, ZGd d, _c. ba-
  15. sium aE, E6. 68, ecc. aequalium, cum inter se, cum ipsis AX ZZ, ZD, _C. a1-
  16. cabus; (Droxter rectam a 2, Semiperipherix ADa, aequalem, ee similiter divilam.)
  17. Adeoque arcuum arichmerice proporcionalium Sectoribus, Xa A, Z a A, Da A, _C
  18. Tinilicer relpondebun quadrilinea XEo. A, ZG a A, d d’a A, balium acichmetice
  19. provortionalium aE, a6, a8, ec
  20. Suncque haec Ouadrilinea, Sectorum illorum, (Singula singulorum respectire
  21. TUMPEOTUM,) dupla. Ouod sic oltendicur.
  22. Incellisatur vel tora A Da Semiperipheria, vel ipsius areus AB, in partes aequa-
  23. les numero infinitas dirimi; adeoque (duetis a diritionum punctis ad a rectis
  24. Za, Z. a, EC.) vel cocus A Da Semicirculus, vel ipsius Sector Ba A, in toridem
  25. Sectores dirimi. Ductisque, 2 diritionum punctis, rectis ZO, Z P, _c. tangenti
  26. ra parallelis, incelligatur Sectori Inseribi figura ex cocideni Priangulis, OX a
  27. PZ a, _c. Ductisque Porro eidem rangenei parallelis, AG, ZI, ecc. (productil.
  28. que a X, a L, ec.) limilicer incellixacur sectori circumseribi tisura ex Peransulio
  29. AQa, XTa, _C.
  30. Dc similicer Figura Sinuum vertorum A+ a, vel toca, rel ip(us vortio BBa A,
  31. (Sectori B a A correspondens) in toridem Ouadrilinca, ballum aequalium, (Secto.
  32. ribus correlpondencia) distribui; (recta Scilicer a z, vel a B imiliter dirila, prout
  33. diriditur AD a vel AB, arcus; ductisque rectis correspondencibus, 5X, 62, dc.
  34. Ductilgue XO, Z P, _c. ipI Z a parallelis; inseribi incellisatur Ligura ex Paralle.
  35. LoBraminis OXEa, DZC5, _cc. CFriansulis O X a, PZ a, _c. correspondencibus.)
  36. Ductilque eidem =a paralelis A 9, XL, _c. (productilque 52 62, ecc.) C ir-
  37. cum seribi incelligacur Fisura ex Paraltelosrammis A4Ea Xiha, _C. (Friangu-
  38. NIS A Qa, X Ia, _c. correspondencibus.)
  39. Suneque haec Parallelogramma Priangulis illis, (propter rectas Ae, X6, Z. C, dec.
  40. iplis Aa, Oa V an _c. ex constructione aequales,) lngula singulis relpective
  41. sumpris, aequealca: Tum quae Circum scripias, cum qua Inleriptas tiguras complent
  42. Sunc aucem Inscriptorum Parallelosrammorum Bales, balibus Priansulorum
  43. inscripiorum correspondencium, ubique majores; e propierea P’arallelogramma
  44. Triangulorum, (singula lingulorum respectire, adeoque de omnia omnium.
  45. plusquam dupla. Fs utique Parallelogrammi OXEa, balis XO, Peu Za recta,
  46. hoc elt, (urpore ipsi aequalis ex constructione) arcus X A, major linu syo XC
  47. (base Frianguli correspondencis;) uc patet. In reliquis aurem; WC PZCE: Pa
  48. rallelosrammi balis ZP, leu SE, recta; (aequalis arcui Z X, ex constructione) est
  49. major quam Z. X chorda: Sed et haec major est quam Z. P, balis crianousi cor.
  50. relpondenis PZa; proxier angulum Z. PX (Frianguli PZ X) illi oppoticum
  51. majorem angulo huie oppositO Z XP. PA enim angulus Z PX, vel huic aequalis
  52. PXO, HoC clt, a XO, angulus in letspula areum subcendens (in opposico Se-
  53. micireto) aequalem arcui Za; _ ansl L. XP, hoc elt, Z Z a, ansuluS icem
  54. in Peripheria, Subrendens arcum Z. 8, (dreu X a minorem;) elt igicue anguluS
  55. PZO, hoc ct angulus Z PZ, major ansulO Z XP; adcoque Z X recta, major
  56. recta Z. P; _ mulco masis Z X Curra, seu huic aequalis (E leu ZD balis Paralle
  57. loerammi, major erit quam eadem Z. P balis Friansuli: adeoque Pacallelosram.
  58. mum Fetans Plusquam Duplu. L lbique. ER icaque PiBUTA Cx Pa.
  59. inserlpra plulquam dupia lelila ex Priansulis inseripia sire con Semicireulo, sive
  60. (69
  61. 70
  62. rallelosraminis, live eori Figura Sucuu vectorum, sive iptius portioni AZC
  63. declori Ba A.
  64. LCCCC2
  65. S

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. 755. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0775?run=74