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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. 315

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: 0.88.

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The machine reads it as

  1. PFOP. XVII.
  2. C O N EC F S.
  3. que BD, D5 (=D04 -
  4. 2 = ASLBD-
  5. nempe BDK AS =D A KL A, ut dictum cA.)
  6. Na VLALDA. (quia
  7. HOc est (substicuris idoneis (rmbolis, nempe t = A 2, d = D A
  8. t= d = D an l = L. A, _ e = DD) Ouadratum ordinacim applicata
  9. = d
  10. in FIIipA e = = 1a = - 1 = d1 - = a1 = 1d == d. (omnes
  11. enim lae nocationes cancundem ralent.) Et quidem (repetita Foura
  12. PFOB. 23.) tam Separatim Ld = FDXBD, X = d = FSKDB, quam
  13. conjunctim Id = - d = F D+ DB = FS+DB = SD= DB =DO9.
  14. Demionstratione non opus est alia quam quae propolicionis curriculo paltim in.
  15. TexSCrIEuE.
  16. Fsque hoc quidem estenciale Elipseos Symproma; unde reliqua dependent
  17. et calculo deduei postune. Vc jam non opus su reliquarum affectionum in ipso
  18. Cono inveltisario; sed melius de clarius intea in abloluta F Hipls consideratione
  19. (sine ullo ad Conum respectu habico) insticuecur: quant prOB. 26. asgrediemur.
  20. P R OP. ZVII.
  21. De Fyperbola Sectione Coni facta.
  22. N Hrperobla: Cacrata Ordinatim applicatarum, aequata sunt
  23. ascresatis binorum rectansulorum; quorum quidem altera lunt
  24. interceptis Diametris proportionalia, altera rero in carundem ratione
  25. duplicata.
  26. Sune enim Ouadrata DO, aequalia Rectanoulis BD
  27. XDS (PeF pFOD. 7.) Ducta vero recta SF F ipA AFI
  28. Darallela, (qua Frapezium SSEIA in Parallelosram
  29. mum S FIIA _ Friangulum S FS, diximat) exune
  30. ubique rectae DS = DF F FS, e Rectangula BD
  31. xDS = BD X DF + BD X FS. Sunt autem (prOP
  32. ter aequales DF) Rectangula BDX DF, rectis BD
  33. proportionalia, ideoque e rectis D A Diametris inter.
  34. ceptis. Rectangula vero BD X FS (quoniam tam
  35. BD quam FS rectae sunt rectis D A proportiona-
  36. Les) in duplicata ratione rectarum D A diametrorum.
  37. interceptarum. Cum isitur sic ubique DOg = (BD
  38. xDS =) BDXDF + BD X FS; conltar propoticum.
  39. PROP. XVITI.
  40. De Fyperbolico Pyramidoeide, Conveide Cuted.
  41. Ellipeicum) ex omnibus auratis DO ordinacim applicatarum
  42. in sperbola, Formel Lfrummanides Fyperbolicum; aequabitur illua
  43. Cuneo cuidam, ques cuncum Lasvolicum libet appeltate; Hehpe (0-
  44. lido supet basi criansuratt L Le crecto, alticudinem habenet Laper
  45. puncto A aequalem rectae AS, Sed continue crescentem aequabiliter
  46. aonec super recta HIB aequalis eractat rectae HS. EF quidem seg.
  47. F 2
  48. E
  49. T (UE PrOP. 9. e 24. Formarimus Prramidocides Parabolicum et

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. 315. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0335?run=74