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Machine transcription of the Leibniz Nachlass

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[Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ, fol. 111

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: 0.82.

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

The machine reads it as

  1. HOROLOG OSCTLEATOE.
  2. 7
  3. dem partes summâ perpendicularium A K, BO, CP, DC, carum DD ClVEnO
  4. uni aequalis erit perpendicularis, ducta ex e in rectam cK, lire ipla FIOHIS
  5. RCF. Ieaque, li summa omnium AL, BM, CN, DH, Sivea + b nerop. 2. huj
  6. + C = + dVOCCTUY I: LUMIA VCTO OMNiUM, AK, BO, CP, DC, lire
  7. c-+f- + 8th, voceturm: e numerus, dacorum punctorum mul-
  8. cicudinem exprimens, dicaturB; CrIT ER N s; _ R C x . Cumque
  9. OSTIEX, Crit R S(IVCFT ∞ X -; vel =- X, ( CR major quamcs; e
  10. Temper quadratu F F X X X- 2 . quo ablaco ab quadrato
  11. F E ∞ ZZ, relinquetur quadratum FF ∞ ZZ X X 2
  12. Ec proindeFE X V Z Z
  13. 0or. LTaEAUILEME R x 1. Ita
  14. quaexx, brevicaris
  15. pracia, dicacur y. Colligamus jam porro lummam quadratorum om-
  16. niuM F A, F B, FC, FD. Ouadratum a F aquatur quadratis AV, VF.
  17. FC aurem a va qualis ditterenix duarum vK, a x, lire duarum
  18. 56, AK; ac proinde a V ∞ X- evele -X; _E qu. A V ∞ XX - 2 C X -+
  19. ec. VF veroxqualis est differentix duarum FS, vs sire duarum FS,
  20. AL; ac proinde VF ∞ y - a vel a. y; de qu. V F ∞ yy - 2a7 a a.
  21. Addicilque quadraris a V, V F, tic quadracum FA ∞ XX - 2 CX-
  22. ec - + yy - 2 ay t a a. Fodemque modo inrenientur quadrata re-
  23. liquATUIFB, FC, PD; acque omnia ordine dispolita erune haec;
  24. qu. F A d XX = 2 CX Y eC 9y 2 ay aa.
  25. Gu. FB ∞ X X - 2 fX -+ ff - 7y -2by -+ bb.
  26. Qu. FC ∞ XX - 2 8 X - 88 + yy -2 C7 -+ CC.
  27. Qu. FD ∞ X X - 2 hX -+ hh - γy -2 dy. + d d.
  28. Frorum vero lumma; si ponamus quadrataee- + ff -58 - + hh x
  29. nn; ee quadrata a a -+ bb, + cc + d d ∞ Rh; eric ilta, D X X - 2
  30. Mx = +nn - + 8y y - 2l7 - + Rk. Siquidem D crac numerus datorum
  31. punctorum ideo que ee quadratorum, policum que fuerate L + f- +
  32. 5- + h ∞ m, e a -+ b -+ c + d ∞ l.
  33. In ilta vero summa, si in rerminis Dyy X 2 l y, Proy, ponatur id
  34. cujus lOcOPOTITIM CTaE, nempC; - + vel - V ZZ - XX -+ 2 em m in
  35. Hec tByy ∞- + 2lY ZZ - X X + 2 en- +Z
  36. ee- 217 ∞ -2d- 2l V ZZ. X _ =+25
  37. 6
  38. vel- + 8yy ∞ 5- 2lV ZZ- X x- + 2 em n n + DZZ - d X X = + 2Z m
  39. _ -2ly ∞ - 2: -= 2IVZZ -XX + Zm m m
  40. Ac proinde, utroque catu, proBy y. 2 ly habebitur - - + DZZ - D X X
  41. +2 xm. 7. Quo appolicis reliquis quanciracibus, lummaprx di-
  42. OSC+ L. L aF

Cite

[Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ, fol. 111. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0127?run=74