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Leibniz-Handschriften zur Mathematik LH 35, 6, 11, fol. 5r

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: 0.95.

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. 6v); this page is its right half.

The machine reads it as

  1. Si Catena CA sit ex filis FC, Eit utrinque annenis ac gravitate
  2. carentibus, ita ut capita C. E sint pari altitudine, detur que anguluo
  3. inclinationis filorum produitorum CGa. et eatinae totuis positus, cujus
  4. vertee sit V anis VB.
  5. 1. Licetit hinc invenire tangentiam in dato quovis catenae puncto
  6. gelut si punitum datum sit L, unde duita applicata Lu dividat.
  7. aequaliter anem BV jam si angulus CG A sit gr. 60. erit imelinanda
  8. a punito A ad axem recta AW, equalis AB, cui ducta paralleta
  9. Le, tanget eurvam in punito L. Ien si lafera. GB, Bi, Alg
  10. sint partiam 3, H, 5, erit Alo, ponenda partium A
  11. . Onvenitur porro et recta linea eatend aequalis vel datae cuilibet
  12. ejus portioni. Semper enim dato angulo CGe, data erit ratio
  13. axis BV ad curvam VA.
  14. Velut si latera GB, B+, aG sint ut 3, 4, 5, erit curva V tupla
  15. axis Y1.
  16. 3. Item definietur radius corvitatis in vertice V, hoc est semidiameter
  17. circuli manimi, qui per verticem hunc descriptus totus intra evrvam
  18. eadat.
  19. Nam si angulus CG et sit b0. gr, erit radius Curvitatis ipsi axi
  20. BV aequalis. Si vero Angulus CeAt sit rectus erit radius curoitatis
  21. aequalis curvae VA.
  22. . otait et circulus aequalis inveniri superficiei Copoidis ex
  23. revolatione Catend ciria axem suum.
  24. Ita. sin angulus
  25. CGA sit 60 g2. Erit superficies Conoidis X Catena CVH
  26. denita aequalis circulo, cujus radius possit dupeum certangulum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 11, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068056:0009?run=73