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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 429v

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: 0.93.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 430r); this page is its left half.

The machine reads it as

  1. Transferam, jam hanc considerationem
  2. ad curvarum, et consideremus, momenta plemen
  3. lorum ex diversis axibus conferri posse ductibus. At
  4. Sit Trilineum AXYA, in quod ducendum sit aliud trilineum AXZA
  5. Transferatur XZ quodlibet in XV cadentibus punctis AV
  6. in rectam AX, patet ductum eX AXZA in AXYA. id est
  7. idem esse quod momenta omnium rectingulorum velut 1Y2X, 2Y3X,
  8. 3Y4X, tanquam ponderum, libratorum prii ex. V, seundi
  9. ex 2V, tertii ex 3V, vel quod idem est ex Axibus rectam XAV
  10. secantit ad angulos rectas sectantibus in V. jam ex ostensis
  11. si pondera 1H2X, et 2Y3X, 3Y4X, respective transferantur
  12. ad 1N, 2Y, 3V, et ita Sitorum centrum gravitatis sit s: r
  13. centrigravitalis projecti in rectam AV sit 5. Isiu
  14. autem figurae AX YA tentri gravitatis in rectam AX
  15. projectio irit mementum figurae AXYA ex S, aequalis
  16. dunctui seu summae momentorum dictorum. Vel si
  17. figurae AXY A centri gravitatis prajectro in rectam AX sit X
  18. luit SX in AXYA aequalis ductum vel sum mae
  19. momentorum. X Z _ vel XV vocetur AX
  20. AX ocetur X. XY, y XZ vel XV sit Z. AIV, B
  21. V AXYA est (ydx AK = sXGAX: Sydx
  22. AV est Z. x v est Z-X,) Erit A5 = ((Z. y2 ydX: sy a
  23. et SK = AK + SA + AK = szVo = XydX + Sugax
  24. Cydx
  25. = (Z ydex. . Ergo S k. (ydX = SZytx. et ita
  26. habemus confirmationem Theorenatis nostri Nam
  27. Sydx
  28. quod chiculus ete centrobargeo diduximus etiam
  29. o chrculus ostendit. Sed nihil tunc difcimas novi

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 429v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0854?run=74