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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 262

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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The machine reads it as

  1. 262 DE V TREBAS ET MIOTEBUS COREORUM. LIB. HI.
  2. punctorum B et 2B positio, atque adeo abscissarum AFL, A2FI, 8
  3. ordinatarum BFI ec 2B2FI magnitudo pendet a positione rectie AI,
  4. seu ab angulo quaesito TAW. Ouomodo vero procalibus hisce cal.
  5. culus debeat subduci, ex sequenti elucelcet corollario.
  6. C OR OE Z A R E V M TV.
  7. 458. Sint sindY: nn = AF: 2; vel A2: 2; vel A3: a procurris AC,
  8. A2B e CB, item (dy: nn = BE: aa vel B2: 22; aut B3: aa, respe.
  9. Etu carundem CurVarum AC, A2B, _ CB. sndX: AN = CT: 9 vel
  10. C12: 2, vel C3: 2; respectu carundem currarum, et denique sdx:
  11. An = DF: 2a, vel D2: 2a vel D3: aa. Vbi numeris literis A, B, C13
  12. D postpositi non lunt porestatum indices, sed tantum indicant quam-
  13. Nam Cx CurriS AC, A2B _ BC hoc ordine, quorocensentur, relpi-
  14. ciant in Fgura T25. Unde, quia in A8. 213, OR vel RL. ant III =
  15. e; + 2bem: nn; + eff: nn = e; + 2bem: nM; + (bb = aa). e: nn; quia ff
  16. =bb = aa UE SuPEa (5. 4 5 4.) invenimus. Ilinc area AdIR = e. CD;
  17. + 2be. AT: a; + (bb = aa). eBF: aa, respeCtU CUEVA AC H8. TI5. AFCA
  18. 2A2d2L 2K = c. 2B2FI; = 2bC. A2: a; + (bb -a4). eB2: aa, respectu
  19. CUITVA A2B. ArCA FKL = C. RF; = 2bC. A3: a; + (bb =a4). eB3: aa,
  20. respectu currae CB. Area Aa Yd = e. AD; + 2bC. CF: A; + (bb = aa).
  21. eDF: aa FCSPCCtUCUEVA AC. ArCa 2 A242 Y2I = e. A2II; =2be. C2: a;
  22. + (bb = aa). eD2: aa; FE(pECtU CUEVX A2B, ec ArCa dYI = C. DHI;
  23. =2bc. C3: 2; + (bb - 44). eD 3: aa; respectu currae BC. ErSO AdLR
  24. + 2A282L 2I FLK =e. F2K; + 2bC. (AT - A2 = A3): a; + bb -aa.
  25. (BT F B2 =B3) c: aa _ A~Yd + YaI = 242a2 l2 l = e. Il2IL; +
  26. 2bc. (C 1 + C. 2 - C3): a; + bb = aa. (DF = D2 = D3) e: aa. Atqui
  27. (5. 453) CA AWV: WVS =ADLR + 2A2DEIER -FLK: AaYd + YaI
  28. 2A242 Y2I, ergo criam AW: WS = C. F2R; + 2bc. (AF = A2 +
  29. A3): a; + bb - aa. (BF + B2 =B3) c: a4, 2d e. TI2II; + 2bc. (CF +
  30. C2 -C3): a; + bb - aa. (DF - D2 + D3) e: aa. Vnde, CUM TWV SIE
  31. ad AWV =a: b; habebitur ex xquo analogia, quae suppeditabit aequa-
  32. tionem quaesitam anguli TAV tangentem manifestaturam; sed quia
  33. ip(a A2HI, 2FT2B, FTI, TIB ac per consequens ip(x quoque FID
  34. e 2FID pendent a quantitatibus a e b, quarum haec adhiuc incogni-
  35. ta est, ideo ctiam ip(X A2, A3, B2, B3, C2, C3_ D2 _ D3
  36. ab iisdem pendent; quod calculum perplexum reddit; praelertim
  37. si currx ACL. et A2BP. Fuerinc dissimiles seu dirersx.
  38. 433. L6
  39. Fb. L15.

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 262. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0290?run=74