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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. 743

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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  1. PFOD. XVI. De Calculo Centri Cravitatis.
  2. Verum potest de hoc idem Ingulae semilesmento B V A insistentis, aciem ha. FiB
  3. Bencis Aa, momentum respectu iplius A a, lic adhue aliter concipi. Nempe, Si 259.
  4. recta omnes ip(i AV Parallela, Semileomentum BV A complentes, ducantur in 260.
  5. quacrata distantiarum liarum respectire, d recta AV: (hoc elt; propier aequalia
  6. quae supponimus parallelarum illarum incerstiria; in seriem secundanorum, ut 0.
  7. 4, 9, c. quorum maximum sic remorissima parallelarum distancia quadrata:)
  8. Nam rectarum quaelibet in diltanciam Tuam ducta, extribet parallelosrammum ci
  9. dem insiltens in Semiquadrantali Ongula expolica; idemque icerum in candem
  10. distantiam ductum, exhibet istius parallelosrammi momenuum respectu AXIS AV,
  11. Peu Aa. Adeoque simut omnia, illius parallelosrammi momentum.
  12. Ouxque de Oneula dicta sunc; solido ejuldem plani B V A convertione im-
  13. vertecta deleripro tacite ( ex praemonstrais) accommiodari porerune. Sed de tris
  14. tractenus.
  15. 13C
  16. Progredimur ad impersectum Sectorem, Sectoris plani B a A eirea A a. impersecta
  17. convertione descriptum; Onsulamque huic correspondentem. Ouancum scilicet,
  18. in tis, Cenirum gravicacis diltac ab Aen convertionis, ANC, seu plano per actem
  19. Ongulae perpendiculari.
  20. Ouxe Friangulo B Va intistie semiquadrantalis Ongula aciem habens A a Ps
  21. ramis elt; Cujus rertex a; Basilque criangularis ipsi B V insiltens. Centrique gra-
  22. ricatis diltantia ab Aa, 2X35 = =5. (Ouod eodem modo octendetur, aique in
  23. SO. de Pyramide criansulo BV C incumbente.) Ejusque magnitudo (per 5S
  24. DrOP. Praced. ) 3s 2 h. Adeoque momentum respectu A a, S B = 553 R = SV
  25. Ouod quidem addicum momento Onsule Sémisesmenti BV A (SO. invento
  26. SC 3 35VR = = 25 R f 1353V; exhibet Semiquadrantalis noulx sectori
  27. BaA intistentis, aciem habencis Aa momencum respectu iplius A a, 30 A +
  28. 8SV R = 12
  29. Edemque sic habetur. Semiquacrancalis Inoula Prianeuls B C. a, aciem habens
  30. Aa est item Pyramis cujus vertex, a; Balisque Friangularis (ipli C. B insilten.
  31. tiS.) Centrum graritatis ab A a plano distat, Z BV = 35; adeoque Cencrum PY
  32. ramidis inde distat, 3X35 = =s. Adeoque, propier magnicudinem 55= R (per S S
  33. DrOP. PrxCCd. ) momencum, =53 R. Acque hoc Addicum momenio Onsula BC.A,
  34. SP. InVencO,) SCR f 552X2; extribet momentum Onoula Semiquadiantalis
  35. Sectori Ba A insistentis, aciem habentis A a, respectu iplius A a, SC R3 F 35VR
  36. i sR. OF prius. CFujusque duplum, elt Semitolidi corrclponcentis mo-
  37. mencum.)
  38. Acque hoc Ungula momentum, per ipsius magnicudinem divitum; hoc est, per
  39. VR = F SS=R, (Der S S. PFOD. Praeced. ) extribet hujus. Ongula Sectori
  40. Ba A insistentis, aciem habencis A a, distanciam Ceneri gravicatis ab A a plano,
  41. ZC R f 35V R + 25
  42. 8v R = 45
  43. Adeoque Semitolidi correspondentis, distancia Ceniri gravi.
  44. cacis est ab Aaconvertionis axe,
  45. ta ut 4 R ad Z.
  46. SCR + 3 50 R + 25 P: nempe aet illam Vnsu.
  47. 2V RP F 52 D
  48. dimiliter otendetur, Ongulae Semiquadrancalis Triangulo B A V intillenris
  49. aciem habentis Aa, (qua etiam Pyramis elt,) Cencrum sravicatis ab A a plano
  50. dictare 2x35 = =5; magnicdinem este ss =V; momencum respectu A a, 53V.
  51. Acque hoc ex momento Onoulae Semilesmenti BV A (S O. invenco) sublacum;
  52. extibet Semiquadrantalis Ongula, Segmenco AB A intiltentis, aciem habentis A a
  53. momentum xetpCC A a Se P3 = 35VR == 2
  54. le
  55. Vel etiam; Dnoulae Semiquadrantalis Friangulo B A C insiltenris, aciem haben-
  56. is Aa, (quae vel eyramis, vel lalcem duarum Prramidum agcregatum vet ditte
  57. rencia, quarum communis balis criangularis ipsi B V insistic,) Cencrum gravicario
  58. similiter ab A a diltare, 2x35 = =s; magnicudinem, 5S2 R; momencum respectu
  59. Aa 225 P. Atque hoc ex momenio Ungula Sectoris B AC (SP. invento)
  60. Be R3 = 85VRZ Subductum; relinquit se R3 F SsV R 2L , +53 R, momencum
  61. respectu Aa Ongula aciem habentis Aa, ipLI AB A, Scomenco insiltencis. VE
  62. Prius. (Flujusque duxlum LC R3 + + 5V R2 =553 R, momencum semisolidi cor-
  63. respondentis.)
  64. EIIdGuE

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. 743. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0763?run=74