Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 143

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: 0.87.

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

The machine reads it as

  1. DADINATIONVM COHO. LLTIBYSLIB. I.
  2. Ducannm Cx C, IP, lacerales tangenteS C, R, HO. quarum viraque
  3. in praedicta axxii. huius ostenlum fuie, ipsae que in CodeM aXis PUICIO 3. (.
  4. crantibun. praeterea vercle can celles de puceta l, B, quae latc- 6091c.
  5. rales lecent il 13 L d in H. Lmes Velo in. l, V, ee 1M R, L.
  6. ad C l ecca , tel cucca a sV, AL ipsi G II taccus iungen-
  7. ti requidiltances, quae Secciones, a contingences lecant, crit reccansu
  8. lum TZV ad IE M L. ve B quadratum cansentis FI Z. ad quadracum taI- b ex 20, cet
  9. eis Conic.
  10. sentis H N, vel ve quadracum OI ad OB (ob parallelas OH, I2,
  11. NB) vel ve quadracum L3 ad B3 (nam ob cangeniem AM, est OL ad
  12. veranque se contingencium Sectionum in iplis punctis C H, coninget, ve
  13. MUI COMHEHIEHE, Juxe vieriuS produccae cum nulia implius harUM qua
  14. tuor oppolucarum concurrent a sed inter ealdem BC, VS, _ BA, TP 2 ex 220 Tec.
  15. Ouoniam ixitur incer oppolitas Sectiones CK, HI L, quas coniigunE
  16. OB ve c L3 ad 3B) vel de qua a LL ad BMI, vel ve quadratum
  17. hoc est quadratum LV ad quadratuum B L. iplis compoticis aequalia, erie
  18. ve quadratum OT ad OB, ed permutando quadratum OL aequale cAt
  19. quacraco IV, quoniam ramus OL aequalis demonstratus fuic, in eadem
  20. quadraselima secunda huius, lemiordinatae TV, ergo ee quadracum O B
  21. quadrato BL., Ciue minimus ramus OB ad Hyperbolum datam ABC
  22. aequalis semiordinatae BL. ad descriprum Limitem AVL.
  23. Sit FaMLLM GaICIque aliUS FaIUS C data A B C OCCUErenS in C.
  24. _ huic OppOTIEX Sectioni C YFI in 5, _ Ordinatx SinE ad aXem OD
  25. per C, 5, rectae guX Sectiones C=HE, HL, de tangentes secent C, 3,
  26. H3, in punctis ve videre est in figura.
  27. 36. Prin
  28. Con1b.
  29. Fric ergo (per superius allacas rationes) rectangulum X 6 7 dd dek 2. l
  30. AeS vc e quadraum H5 ad quadraum H 4 ( vel 0b pacallet as C. H, vi Conic.
  31. TZ ad BM. Guase euo simul, nempe selcangulum FZ. V cum quadrato
  32. IZ. ac duo Simul, nempe ad sCCTanSIU H M L., cum quadrato BM.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 143. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0171?run=74