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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 184

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. 180
  2. PROP. VII. THEOR. V.
  3. Si pro C L FZn ( 87 2n _C. TCribatUT R ut TUPEa, X
  4. in Currae alicujus Ordinata 20Ln0 R. Lr maneant
  5. quantitates datae o, n 2, C, F, S, EC. _x PFO0 dC x TCTI-
  6. bantur successire numeri quicunq; inteori: et I
  7. detur area unius ex C urris quae per Ordinatas in-
  8. numeras sic prodeuntes detignantur s Ordinatae lunt
  9. duorum nominum in vinculo radicis, vel s dentur
  10. area duarum ex Curvis si Ordinatae Cunt trium nO-
  11. minum in vinculo radicis, vel areae trium ex C urris
  12. E Ordinatae Cunt quatuor nominum in vinculo radi-
  13. Cis, e lic deinceps in intinitum: dico quod dabun-
  14. TUE arCa Curvarum omnium. Pro nominibus hic
  15. habeo terminos omnes in vinculo radicis tam de-
  16. ficientes quam plenos quorum indices dignitatum
  17. Tunt in prooressione arithmetica. Sic ordinata
  18. Va+ aX3 , Xt Ob terminos duos inter 24e - a73
  19. deticientes pro quinquinomio haberi debet. AF
  20. Vat) xa binomium est Xc Va+ ] X1 trinonium.
  21. cum progressio jam per majores differentias proce
  22. dat. Proposiio vero sic demonstratur.
  23. C AS.
  24. Sunto Curalum cuaum Ordinatae prP. R 1 8
  25. 7Ini RVI, X areae pA et gB, existente R quanti-
  26. tate trium nominum c.fru- gren. Ft cum per
  27. Prop.

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 184. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0376?run=74