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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 36

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: 0.90.

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The machine reads it as

  1. 2 CCLC
  2. nem P: C: enerum graviesris dictae porrionis tancundem a CF
  3. recta diltabit (seu porius ab aequilibrii plano super hanc rectam
  4. erecto; quod hic nobis loci perinde eAt; quod ex limiliter alibi
  5. ubi opus est incellectum volo,) quancum inde diltat cenerum
  6. Gravicaris aeguipollentis prismacis; hoc est, quancum ab eadem
  7. C S distar cenerum graricaris Trilinei B FC. QuOd quaHEUM
  8. GIE, Sc inquirimUS.
  9. 98. Trilineum, eorum C A F, est Z RP (nempe duplum Se-
  10. micirculi, per 522) unde E auteramus erilineum B F C, ho5 elt,
  11. 2 R (Per 594) manebic = RP = 2 R~ aquale crilineo BF A;
  12. cujus crilinei centrum graviratis (in recta BB licum) a recta
  13. CF distat Z P. Ouae dictania, in Z RP - 2 R magnicudinem
  14. ducta, dac Z R P~ = = R P Momentum crilinei BF A respectu
  15. Ca F rectae.
  16. 99. Tocius autem ( A F crilinei respectu ejusdem C F, mo-
  17. MenCum, es = RPZ = 2 R, (per 5 83; cum enim Colidum ex
  18. convertione circa C F, (Ic S P = 2 R P; erir, subltituendo rad-
  19. 05 pro Peripheriis, 3RP= 2 R momeneum plani.) Unde (I au-
  20. Feramus ZRPZ -= PEP (momentum crilinei BF A, Per Praeced.)
  21. minebic Z R3 P =. 2F momencum erilinei BFC. Quod momen-
  22. cum si per erilinei magnicudinem 2R = dividatur, Prodibit ZP = R
  23. distantia ceneri gravicaris dicti Trilinei BFC a rectaC. F. (adeo.
  24. que R ejusdem distancia a puncto B.)
  25. 100. Cum igicur distancia ceneri gravicacis, cum BF C cri-
  26. linei, cum _ (597) Porcionis crilineo huic insiltentis, a C F, (IC
  27. P R; Ecque dictae porcionis magnitudo (Per 594) 2 R: F.-
  28. Tit iltius, respectu C F, MOMeNEUM Z R P 2 R
  29. FOT, DuiC itaque MOmenEO, SI adjunGaUS Z R 2 PZ - =R P
  30. momencum portionis erilineo B F A inlistencis, respectu rectE
  31. CF, per596,) habetur: Z R~ P= =2 Romomentum totius portionis
  32. crilineo C A F inbistentis, respectu rectae C F. Sin POrTO, PrO
  33. criangulis 5 92 Tubsicuris, restituamus circulos, (diridendo Per R,
  34. ee mulciplicando per P, IhaDebIEuE, = RP, - 2 RP I =B~, MOmen-
  35. cum solidi ex convertione crilinei C AF CirCA A F, respectu rect E
  36. CF. Duod 592 Proponicur inquirendum.
  37. 202. Invenimus aurem (588) momentum solidi ex conver-
  38. sione semieycloidis, ad momentum solidi ex convertione semicir-
  39. culi (circa AF.) respectu rect CF; eAe, ut 25 B+ + 24 R P ad

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 36. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0052?run=74