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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. 824

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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  1. De Calculo Centri Cravitatis.
  2. CapV.
  3. Fis. 166, Similiter; Ongulx Frianguli Ba V, aeiem habencis PA: Momencum respe
  4. Atura (idem acque aciem habentis r e, respectu F A, ) 3 S B= R = = 5B3 = 35 R
  5. 350R2 + 55 R = 2532; relpcetu Y A, 2 sB R2 = 3 sB R = + 5B3 = = sBR
  6. +353R - a 53B = 3s R3 = 35~ RZ + 553R f 5 3V; DEx S N. PrOP. 26. Vn.
  7. sulaeque correspondentis Parallelosrammi bBa B, geiem habencis. L’A, moivencum
  8. respectu r0. (idem acque aciem habentis ra respectu, Y A,) ab3 R = 5 ab =
  9. SaR. = 3 4uR + 5as R - 3 a s2V; respectu T A, Za R3 = 5 aV3 = 3 a B R2
  10. +3aSR = 5 a F2B = 5a R3 =5 a V RF +, 3a57 R + 5452V; per GE. PFCP. 19.
  11. Erso Ongula Praperii bBaVp aeiem habentis, PA, momeucm respectu ra
  12. (idem acque acieni, habentis r a, respectu P A,) g, B R + 3 sB2 R = 5 a, B3 = 5h.
  13. =3a R3 + 35 R3 = 3 a v R
  14. respectu TA, 3 a P3 + 2sB A L. 3 R A d a s C + 3 s R - 5 a 5 v. - ; 52 v; ee
  15. 35B R = = av + + sB3 = a B RZ + 3s BR 2
  16. +3a5=R + 853 R = 3 a s B = = 53 B = 4a BR 2 5 b R - 2. c b R - 3 s H R
  17. = 3a B3 + 4 5B3 = 3 a R3 + 35R3 - 2 a v R2
  18. 55VR= = 345E R F 353R +
  19. 5a52 v. + 253V. Adeoque (Proprer maenicudinem 2 a b R F SB R - = aB2 -
  20. 35b2 = 2 a R = F35 R2 = a v R - 3 52 R + 5 a 52 + 5 53; Der BC, PrOB. Pra
  21. ced.) Diltancia Cencri Gravicaris d r a
  22. 25R sB
  23. 12 a R F 8 5 X = 4 a B = 3 5 B
  24. 24 a R + 125R = 6ab = 4 5B
  25. 25R fBh
  26. B Y 24ase F 12SR 6ab = 45B d A, 2R b 2 aR f125R 6ab 5
  27. Fademque Momenca, ex respectivis Momentis correlpondencis Onsulae porrio.
  28. nis bBaV A, 33a R3 385 R3 F 25V R 21. F 353R, c 3 a R3 + 35 R3 L 1252 R2
  29. =2753R, (SC. praditis,) Subdueta; Relinguime Ongulae Segmenti b V A, aciem
  30. trabencis F A, momencum respectu Ta)= a R3 f (2 s R3 (= - 76 R3 ) = ZaVX
  31. +85VR2 = 5a52R 3853 R + 3a 5 V = +53V; d respectu T A, = 2 a R3 F
  32. 25R (= = =C R3) + 3 aV R2 + 85V R = 3a 5 R - 18S R = 3a 5 v 5v:
  33. Oc Tupra SF. Unde reliqua deducentur ut prius.
  34. Accedimus ad considerationem Momenti Ongularum Semieycloidis, ejulque
  35. Fig. 166, parcium, aciem habencium r a vel huic parallelam, respectu rectie A a aut paral.
  36. 168, 170. lelae huic: Adeoque et (proprer diltantias es alcitudines reciprocatas,) aclem ha-
  37. 73, 174. bencium A a duc huic parallelam, momenci respectu re, auc parallelae huic: FO.
  38. rumque quae hine dependent
  39. Diltribiuis inaquie (Et ad S L. prop. praeced. e alibis ) cum Semicireulo in sua
  40. minura Priangula aB, Peu Y aP; cun Semiercloide in respectira Traperia Bb,
  41. (eu ysEP, tig. 168. quae respectire aequalià linc iplis L a P Priansulis, et paral-
  42. lelosrammis y dEp Fe. Y70. Tunit Tumpris: L rISI intellisaneur, ac prius, On
  43. sulae Semiquadrantales aciem habenues ra; quas compleane uldem Priansulis
  44. Praveriisque minuris, intiltences minutae Onsilla. Oux itaque Frapeziorum
  45. Ongulae, aequales crune respectiris Friansulorum de Pacallelosrammorum, Onsulis
  46. limul Cumpeis: Or ad SC. jam ostentum est.
  47. Ongulae Prianguli Y a P (Pyramis cum sic) adeoque de huic aequales similiter.
  48. que policxe Prianguli (in Praperio incermedii) vBr, Cencrum gravicatis (illic
  49. in aB, hic in BB, potiris, ) a ra distabit Dodrance alcicuclinis, (Per PEOP. 6.
  50. hujus,) hoc cst, 3 Va = Z B. Adeoque iptius YaP prramidis (sed non et
  51. iplius vB =) distancia ab A a, ZBV -
  52. s
  53. Ongulaeque parallelosrammi Y sE p H3. 270. (urpore Prismacis, duabus baFI.
  54. bus Friangularibus incerjecti,) centrum craricaris d ra diltat, alcicudinis Belle.
  55. (guancum scilicet inde diltat TriansuLI CenErUNI,) Der PrOP. 5, 6. hujus; HOc
  56. elt, 3Y a = 3h. Acque cancundem inde diltac bipareicae Onsula, parallelogram.
  57. miS vS, 2E, (utrinque Z DB aqualiter remotis,) Hg. 208. Centrum GravITaTIS, in
  58. ipsa bB policum. L jusque Cencri, a Cenrro Onsulae vB modo indicati in ca
  59. in quod spectat, seu dictanciam a 7 cs,) c(t 2 h- 2B
  60. dem bB, distancia, (alticudinet
  61. =:. Adeoque, propter Prismaris magnicudinem ad magnicudinem PytariciS,
  62. Uc = ad 5, seu 3 ad 2, (est urique Prisma dimiclium correspondenris Paralle lepipeci,
  63. 824
  64. 70.

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. 824. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0844?run=74