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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 331

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: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. DE VERTBUS ET MIOTTBUS CORPORUM. L 1B. II. 33C
  2. seu = saadu: aa8 = abu = cun (seu factis iisdem substicutionibus,
  3. quae in praecedenti articulo factae Tunt) =sE dy: hh -gy. FIaec enim
  4. quantitas sequatur integrali inrento in ultima periodo articuli prxe-
  5. cedentis, led divilo perf; propterea inveneturt (= s
  6. 3108. Y (B + y: B - y) - = 108. Y (B + f: B - f).
  7. 574. FEX repertae aequationes reduatxe accuratistime nos ducunt
  8. ad constructionem propolitionis I. XVII. Sinc enim a = G = C, e
  9. quia (secundum hrpothesin 5. 572.) aaq = cBh - eff, 2c ab = 20f,
  10. erunt aa = BB - ff, ec b = 2f. Si itaque in Ag. F30. Fant IM = a,
  11. AM = ;b = f, ad coque TM = b, erit IA = aa + ff = hh, atque adeo
  12. AI = AB = AL, = B, FactaquCMS =u, crit AS = f + 1 =γ, _ L, 5=
  13. hh -7y, neC nOn IM = BB -ff = aa, adcoque l09. Y (Bh -ff: BB-
  14. 9y) =l05. V (IN: L52) =108. (IM: L5) =108. (OD: NO) =FI.
  15. In 109. mica BNV, cujus Cubtansens aequatur = Teu a, quia (secundum
  16. hypothesin) a = c = IM = OII.
  17. Pracerea, S AK = AC = AT = B, erit RS = B L y, _ CS = B -y;
  18. creo ratio B Ly: h - y = KS: C5 (rel, quia RS, LS, _ SC in cir-
  19. culo Tunt in continua ratione) = LS2: SC=9A2: AC; atque adco
  20. V(h +y: h - y) = A: AC. Simillimoargumento invenitur Y (B + f:
  21. B - f) =IM: MC =PA: AC. Adeoque = 108. V(B + 7: B -y) -.
  22. 108. Y (B + f: B-f)
  23. AM.
  24. c
  25. 108. (PA: AC) - 112
  26. 109. (OA: PA). AEqui (5. 549.) aNumta CA ZZ: 109. (OA: PA) =
  27. AMI: AT, erGOXZ.
  28. AM
  29. At
  30. 105. (OA: PA), acque adeo x = 108. V (BB
  31. ff: BB - 99) - =108. Y (B + y: B - y) + 5 108. V(h + f: B - f) = 110-
  32. XZ, ut in cicata proxositione L. XVII.
  33. 75. Onantum ad alceram (5. 573.) 1 = Z 108. V (B + y: B - y
  34. 105. V ib + f: B = f), hxct = XL: AM. Duandoquidem = 108. Y (B +9:
  35. b - 9) - (108. (B + f: B -f):
  36. 108. (DA: PA) = X2, adeoque

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 331. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0359?run=74