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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 167

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: 0.95.

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

The machine reads it as

  1. in locum Cuum priorem BC, e cocuntibus punctis
  2. C X cu recta C. K coincidet cum tansente C HI, ec
  3. triangulum eranclcens C. Fc in ultima sua forma
  4. eradet simile triangulo C. F. T, _ ejus latera cranel-
  5. centia C F, F C _ C c erunt ultimo inter sc ut funt
  6. trianguli alterius C. F Y latera C. F, FI XC, T, &
  7. propterea in hac ratione lunt Auxiones linearum AB,
  8. BC. X AC. Si puncta C. _ c parro quoris inter-
  9. vallo ab invicem distant recta C. R parro interrallo a
  10. tansente C TIdistabit. UE recta CK cum tansente
  11. C Flcoincidat d rationes ultimae lincarum C F H C X
  12. Cc inveniantur, debent puncta C. Xt c coire _ OIm-
  13. pino coincidere. Friores quam minimi in rebus
  14. mathematicis non sunt contemmendi.
  15. Simili argumento s circulus centro B radio BC
  16. descriptus in longitudinem ABIcissae AB ad angulos
  17. rectos unitormi cum motu ducatur, Auxio solidi se-
  18. niti ABC erit ut circulus ille generans, e Auxio su-
  19. perticiei ejus erit ut perimeter Circuli illius ee
  20. Auxio lineae currae AC. conjunctim. Nam quo tem
  21. vore Tolidum ABC. generatur ducendo circulum
  22. illum in lonsitudinem AbIcisae AB, eodem super-
  23. ticies ejus generatur ducendo perimetrum circuli il-
  24. lius in longitudinem CUrVae AC.
  25. Recta P Bcirca polum datum P revolvens secet aliam Fig. 2.
  26. positione datam rectam AB: quaeritur proportio suxio-
  27. num rectarum illarum AB PB. Progrediatur
  28. recta PB de loco uo PB in locum novum PB. In
  29. PB CapiatUE P C iPEP B aequalis, e ad AB ducatur
  30. PD c, ut angulus b PD aequalis sC ansulo DBC;
  31. X ob similitudinem triangulorum bBC, bPD erit
  32. rusmentum Bb ad ausmentum C. b ut Pb ad Db.
  33. Redeat

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 167. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0359?run=74