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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. 763

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: 0.85.

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The machine reads it as

  1. Ccop. V.moiravitatis.
  2. hoc cl X A, = a,) ex Z a R2; Si auteratur momentum Frilinci AXG, hoc est, FiB. 169,
  3. (per S F. ) 3a R2- 2s R3 L =SV R; habecur quadrilinei X LC A momentum re 170
  4. spectu PA, = Z a R3 +Z sR2. F =SV R.Adeoque (proprer masnicucinem sR.
  5. per SB.) distancia centri gravicatis, d F A
  6. f35. +52
  7. ; adeoques adC
  8. a R. + 5R = 50; ejusque respectu dC momencum, a R + s R 2 L ; 5y p
  9. =+a A F = SN R. Idemque est momentum porionis vBs uy respectu r a potico
  10. SB (= XZ) ==a: Sed, Dolito aB = a, adeoquo (ejusdem complemencum ac
  11. quadrantem, auc etiam excellus supra quadrantem,) SB =-DB = L D i a, (areus
  12. a ditterentiam 2 quadrance = P,) quem arcum q dicemus; eritque hujus fnus
  13. rectus, non s, Sed n == O C (sinus complemenci arcus a == X A.) AdCOquC MU
  14. caco a in g; permutaris eriam si opys s’et x (sed hic nihil opus, perinde enim
  15. cA sN e N S;) PrO Za R F as x R, habebitur quadrilinei vB sa momentum re
  16. spectu ra, (DOsito aB = a,) ag R F EN SR; (HOC es omnia L S seu Semi-
  17. summa quadratorum sinuum rectorum complenrum porcionem ves u, leu arcus
  18. DB parriculis respondentium.) Pjusque a Z a Dictancia Cenri Gravitaris 2 F v 5
  19. Adeoque; (propter Frilinei as u, respectu ejusdem ra, momentum 3 N 2
  20. ut lupra;) Portionis a BV = e dn F Sn vB (prout aB minor majorre quadrante
  21. Everic) momentum respectu ra, CriL =S R F = = G R2 F F5 N R; HlOC elL (prOPter
  22. D = an et N = R = 2, si a B lic quadranie minor; vel q=
  23. P +
  24. e
  25. X = - R + V, a B quadrante MajOF;) Ea R2 = = sR2 =5VR: (OUX Ita
  26. que est, Semisumma quadratorum Sinuum rectorum, complentium portionem a Bo
  27. leu omnia 352 arcus AB particulis comperentia, Cumpris a arichmerice provortio
  28. nalibus.) Factaque, per magnitudinem aβ0 = V R, dirisione; habecur distan
  29. cia Ceneri pravicaris a ra, 2 R - s R 5y es + s0
  30. Similiter, Frilinei a. d momentum respectu Aa (productae,) Hoc est, Frili. P
  31. nei dCA momentum respectu sd (producta;) est, (per SI.) = Z a = R +
  32. vR 2 f = a 2V. HOc est, in praesenci catu, (PrOPter V = R,) R3. (HOC cst
  33. omnia a s, cocius quadrancis. ) Acque hoc, per magnitudinem R2 dirilum; extri-
  34. bet R, dictan
  35. que CentrI=
  36. eeder
  37. ucri sraricacis eritinci dC A, a sd; vel ad n ab Aa. Adeo
  38. momentum correspondens (seu Semiquadrancalis Ingula, ) nemDe Frilinei dC a
  39. respectu Aa, vel a s n respectu s n, 2 R2Y. R
  40. Fx similicer in Portionibus, (licet perplexiori paulum caleulo, ob mucandum
  41. ut prius, symbolorum valorem pro mucaco licutisurae,) idem obtinebicur
  42. Est urique (per S F.) quacrilinei X Ea A momencum respectu A a, (potito
  43. XZ = ag) 3a R F aS R = v R2: Adeoque (dempto Paraltelogrammi ElC 8
  44. momento respectu ejusdem Aa, = a= R;) momencum quadrilinei X LC A, respecti
  45. ejuldem Aa, as R =V R2. Aique cancundem eris momentum Ouadrilinei v Bd
  46. respectu s in PolO SB = X X = a: Cenrrique gravicacis d du (propter magnitu
  47. dinem sR,) distantia, - - . Sec, polico ab = a; adeoque BS = + P si a = g
  48. Et proprerea mutatis sin x (sinum complementi areus q;) et V in R ==s: Frit
  49. Guldem vB Sn momentum respectu su, q V R = R3 = s R2; ex centri graricaris
  50. a du distaniia, 2 r = R2 + 5
  51. E: Adeoque, ab A a, 1 ∞. = G ~ = R= + s A
  52. momencum respectu A a, = N R P FG ~ R L R3 F 5 R = d X R L R2 = 5 R=
  53. EE, Proprerea, Momentum porcionis a B = a sn F S uv B, respectu Aa, (PrOptet
  54. iptius asa, respectu Aa, momentum, R3) erit F a X R F 5 R=
  55. R F av R. Centrique gravicatis ab Aa diltanria C propier magnicudinem,
  56. VR,) eric = + sR + aV
  57. spectu B0 momentum eR.
  58. =eR + a2
  59. : Adeoque, d 8v, ; ejusque se
  60. Ddd dd2
  61. Verum

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. 763. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0783?run=74