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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, 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: 0.92.

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

The machine reads it as

  1. L
  2. ctum contactus in intinitum abit. Nam haec rectu
  3. in eandem plasam cum crure infinito dirisitur.
  4. Lineae omnes Ordinis primi, tertui, quinti, sep.
  5. cimi ex imparis cujusq; duo habent ad minimum varum omnoim
  6. crura in intinitum vertus plasas oppolitas PrOSre seneris secundi ad
  7. dientia. Et lineae omnes tertii Ordinis duo habent equationum casus
  8. quatuor. Casus
  9. ejulmodi crura in plasas oppoltas prosredientia in primus.
  10. quas nulla alia earum crura insinita (Praeterguam
  11. in Parabola Carteliana) tendunt. Si crura illa
  12. sint Hyperbolici generis, st GAS eorum AIrmp-
  13. totos e huic parallela agatur recta quaeris C. BC
  14. ad Curvam utrinque (E tieri Potest) terminata
  15. eademq; bilecetur in puncto Z, et locus puncti il. Fis. Lo
  16. lius X erit FIrperbola Conica (puta X 8) cujus
  17. una AIymptotOS eA AS. Sit ejus altera ACymp-
  18. Eotos AB, X aequatio qua relatio inter Ordinatam
  19. BC. e AbsCissam AB detinitur, S AB dicatuE Z 8
  20. BC. y, Temper induet hanc formam XV yY L Cy = 2X
  21. FbXX CX. ] d. Ubi termini C, a, b, C, d, delig-
  22. nant quantitates datas cum signis luis ) et afte-
  23. ctas, quarum quaelibet deesse postunt modo ex carum
  24. defectu figura in sectionem conicam non vertatur.
  25. Potest autem FIyberbola illa Conica cum alrmpto-
  26. tis suis coincidere, id est punctum X in recta AB
  27. locari: e tunc terminus. Cy decst.
  28. Ath recta illa C. BC non potestutrinq; ad C urvam
  29. terminari led Currae in unico tantum puncto occur-
  30. rit: dee quamris positione datam rectam A B alrmp-
  31. Eoto AS occurrentem in A, ut Xc aliam quamvis BC.
  32. ymptoto illi parallelam Curraeque Occurrentem II
  33. puncto C e aequatio qua relatio inter Ordinatam
  34. BC
  35. VIII.
  36. Reductio Cur-
  37. l.X.
  38. Casus secunduia.

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 143. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0323?run=74