Leibniz Legible

Machine transcription of the Leibniz Nachlass

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De Locis Solidis Secunda Divinatio Geometrica, fol. 14

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.

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

The machine reads it as

  1. VIVCENTH VIVTAML PROLOCI
  2. 237. CerE
  3. Conic.
  4. P R OPOSITIO A
  5. N Oirculo. Ouadrata ramorum a quouns termine asis
  6. trianeut ccumscripti tanquam ab orieine ductorum.
  7. sunt inter se ot axis, seu diametri sermenta inter ordinatim
  8. ductas in C irculo ex ramorum terminis, (5 punctum
  9. quodipsum trianculi axem bisariam fecat.
  10. Sto Circulo AB C D, cuiuS CeNruM F, circum scriprum GuOACHIC, CC
  11. L criansulum AFC, cuius basIS AC, _ axis FC atque ex alteroterini
  12. norum iptius FC, veluri ab exteriori F, ducantur quorcunque rami ad Cir-
  13. culiperipheriam, HOC estFAMIIS F BD PeF CeNtrUIM, PTFL eXITA CenEru,
  14. _ F A Contingens, dec. aut si ex termino interiori C iplirami ducti sinE, vi
  15. delicet C7D peF CeMTrM, _ C+ A iDsi BD perpendicularis, aliique C FI
  16. CrL, CB _c. ex iplorum aurem omnium cerminis ordinentur ad LV rccix
  17. DDHIL, AC,TK, BB ac. 8 2Xis FC bilecetur in M. Dicocam quadra-
  18. ta ramorum omnium ab externa Origine FD, FII, F A, F I, FB, RC. quam
  19. quadrara omnium ab interHa C D, C+FI, G A, (5I, GB _cC. Cse inter (CVE
  20. Tunc diametri seGMeNEA MD, ML, MC, MI, M B dec, quae incer praedi-
  21. ctas ordinatas, ee punctum bisectionis M interiiciuntur. Ec primo id olten
  22. dutur deramis ex orisine externa F prodeuntibus.
  23. ABatUT CX M baSI A C parallela M O, que
  24. I Nbitariam secabit in O.
  25. Tam, quadratum FD ad quadratum tangentis
  26. F A, vel ad rectangulum sibi aequale D F B eAtve
  27. linea DF priina proporrionalium ad certiam FB
  28. PostduaS DF, F A, Sed DF SCCTA CKEa in Ci, B in
  29. ratione harmonica, _ media HARONICA F C, Bi.
  30. fariam in MI, quare linea DF, ad FB, CuC qua
  31. B 10. huius dratum FD, ad quadratum F A, est ve b linca.
  32. MD ad MC.
  33. Trem, quadratum rangentis FA, vel ad sibi x
  34. quale rectaneulum FITI est velinca HIF, harmon
  35. c37. cerrii nice sectac in N, I, ad FI, vel vi dIIO ad ON
  36. COnIC.
  37. a 10. huius (cium media F N sit bifariam secta in O) vel ve
  38. L. M, ad MC.
  39. Praeterca, quadratum rangentis F A, Tuic rectangulum Sibi aequale HIFI
  40. c37. cerrii ad quadratum rami F I esve linca HIF, harmonice quoque lecta e in N, 1, 2d
  41. Conic.
  42. E 20. huIus
  43. FP, vel vEF NO ad OI (cum media N F. Sic bitariam secta in O,) vel ve
  44. GM, ad MK.
  45. 37. cerrii MulDet. Guaca CatZCS FH, HC LCclatS HOL quaC DLB
  46. COnic.
  47. ad quadratum rami F B est ve linca D F harmonice Bfccca in C, B, 2d FB,
  48. B r0. huius velveh GM, ad MB, (cum sic media (, F bitariam secca in M) Ouadraca
  49. igicui

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 14. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0042?run=74