Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 20

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.

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

The machine reads it as

  1. 2
  2. SIC nacurX uE duCTA YN quae cunque AO reccae perpendicud
  3. laris aequiraleat porencia urrique IL, IM; cric recransulum
  4. MIKaquale mixrilineo IA FL: Rnon AFica ducatur curra
  5. AVY calis nacurae uc rectangulum M IV Aac aequale mixtili
  6. neo IA FL, e demonstrabitur secundum cenorem huius
  7. propolicionis rectas (qua curras AX, AG cangunt in pun
  8. etis V _K) Cse incer se parallelas, quod est absurdum conz
  9. era propolicionem praecedentem.
  10. Hluius eriam propolicionis rarii sune casus, (ed hocincel
  11. decto, in reliquis nulla rectat ditticuleas.
  12. PROP.
  13. 7. PROBLEMA.
  14. Rectam ducere datam curvam tangentem in ejus puncto dato
  15. s modo curva sit ex earum numero, quas C arte siuts
  16. appellat Ceometricas.
  17. IEcurra BHI C hyperbolas cuius diameter recta AK _
  18. ordinacim applicaca FHI, IEC, calis naturae, uc Colidum
  19. ex quadroco a B E in AF sC ad solidum ex quadraco a BI i
  20. AK AE cubUS AB F II ad cubum AKC. Sit AB daCa a BF b, ee
  21. rario solidi ex quadraco a BE: in AF ad cubum ab FFI uE a3 a0
  22. c3: Oporcet invenire punctum F, re ductarecta FHhyperbo
  23. lam eang ae in pucto HI. ex dacis AB, BE, dacUT AF arFb _E PTB
  24. VC (ab 2c3rk b3C3). SiEF FZ _ D L nihil leu PeruMO; et
  25. proinde erie BDb -08C A D a rf. b - 0,F D Z -0it CM DC VC
  26. C3 a b2 = 2c3 a b0 rta c3 a02 fC, b3 - 3c3b20 3C3b02 (303)0
  27. quoniam supponimus ordinacim applicaram DC incidere
  28. in curram in eodem puncto C vbirecta FH eidem (simodo
  29. Domibile HC) Curra OcCUErIE CrIE UEFHI ad EF ita DC ad DF;
  30. e ideo rectangulum ex D F. in E FLnEMPC VC (b2C3 a23-

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 20. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0036?run=74