Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 185

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. C1857
2. PrOD. TIT. SIE ZR area currae cujus Ocdinata est
3. An 2XnE
4. priores de area e Ordinata posteriori, ex manebit
5. p = an
6. by2n in Z2 R~ Ordinata nora C UEVa, X
7. 2an C
8. DR = pA -- 9B ejusdem area. PONC dC = P 8
9. oF. f anf =G de Ordinata eradet (3, 82 2n in Z. 1R~. 1, 8
10. area ZR DCA oFB in(B. Diride utranG; per
11. 08- ang, X aream prodeuntem dic C, _ astumpta
12. utcung: I, erit EC area Currae cujus Ordinata est
13. p7dI E R~ 2. Fit qua ratione ex areis pA d 9B
14. ATCAM FC. Ordinatae p2P F2rI R~ congruentem inve-
15. nimus, licebit ex areis gB _ rC. aream quartam
16. puta ED ordinatae S2 L3=R. congruentem invenire,
17. _ sic deinceps in intinitum. Et par est ratio pro-
18. srestionis ab areis B Xx A in partem contrariam
19. Pergentis. Si terminorum 8, 9. ]-an, ec 0- ] - 2an aliquis de-
20. ficit e Ceriem abrumpie, altumatur area pa in prin-
21. cipioprogrestionis unius ex area qB in principio al-
22. terius, _ ex his duabus areis dabuntur areae omnes
23. in progrestione utraque. Ft contra, ex aliis duabus
24. areis altumptis ft recrestus per analyEn adt areas A
25. e B, adeo ut ex duabus datis caeterae omnes den-
26. FT. 9. F. O. HTic est casus Currarum ubi ipsius=
27. indexsauxetur vel diminuitur perpetua additione vel
28. subductione quantitatisn. Calus alter est C urra
29. rum ubi index augetur vel diminuitur unitatibus.
30. noo

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 185. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0377?run=74