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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 31r

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: 0.90.

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The machine reads it as

  1. Eurerit mensuratio portionis Lunule ADEA. Quod ut fiat
  2. quaercndum ett ejus elementum, ac summandum Id Elomentum
  3. e ED (∞) (C), id ett Triang. CD (D) = triang. CE (E). Est autem
  4. CD(∞) =D (D) in =CT. AG tit X; GD, y; 1F, 2; FE, v.
  5. AB seu BC seu BD, a. CE, fraa. D(∞) = dxa: y. sit BL
  6. parallela et aequal. DF; pat et triangula BL C et BGD congrua
  7. etse seu aequalia et similia, nam ang. BeL aq. angulo BDG;
  8. comprehendunt enim parallelis; itaque triangula BLC et
  9. BGD sunt similia, sed hypotenutae BC et AD sunt aequales; Ergo et tirangula simi-
  10. lin et aequalia. Itaji C = DG. Itaq CT = a + y. (=DH). Ergo CD (8) = a Fy, adx: 27;
  11. sed X = a - Van gy. Ergo da = ydy: Taayy, et CD() = ady 1a +y,: ay: 2.
  12. quaeramus jam et Ce(C) = E (C) in =CC. Et autem E(C) = dz fraa: v. Ergo
  13. CE(C) = dz aa: v. quaeramus ergo Z et v per y. Nempo ob triangula similia
  14. HC et EFC fiit EF un v: OH un ady:: CE uu fraa: CD. Ert autem CD=
  15. OH LCH, seu = a + ray +yy +aa-yy. Ergo CD = Fran +2ag. Ergo fit v=
  16. laatag. Jam Wv + CF= 2aa (seu FE +CF= CE) seu an tay +CF= raa.
  17. Ergo CF = Jan -ag. Ergo Q (Bia - CF) = Fraa Jaa-ay, et hinc
  18. aZ = ady: 2 Paa = ay. Ergo CE (E) seu duan: γ = audy: 2 aa yy. Ergo
  19. CD (D) = CE(E) = aa tay dy = andy,: 2V ar- yy = aydy: 27 aa yy =
  20. =ED (D) (E). Sed sum. ED(D) (C) = ADCA, et s, aydy: 2laa yy =
  21. ra, a Vaa- yy = 2 ax = Triang. CAG; Ergo CAG = AD EA, ut erat
  22. propositum. Si omnia fuissent explicata por Xe Ploco y) faclior fuiset
  23. sumatio; nam aydy: raa yus dat ada, adeoque ED (D) (E) aeq. triang. CG (G).
  24. Haqe propositum thcoroma succedit, nempo quod triangulum CAG aequatum
  25. lanulae portioni Adcit, quod et peuimen Methoti nottra g.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 31r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0059?run=74