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Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 79v

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: 0.84.

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

The machine reads it as

  1. per calculum alibi factum constat posito curvam F esse circulum, cujus
  2. centrum A, radiumque incidentem EFH, refringi in F(H) sore
  3. positisque AG, X GF, y. AH, h AH. (H). et sinum
  4. fore () aqu. anguli refractio ad sinum anguli incidentiae ut cad
  5. fore (h) aequ. Sch: St +hxbs bsEhCs ptex - fck X
  6. si ubi ad caliuli comprobationem serviet, quod ponendo b aequ. C, fit b) aqu. h
  7. nam fici (hh bbsB) + 2LX. Lst 2tX bl 1s + bbs= 5) bbhh) + bb thxX, - bhX ego lch. B)
  8. seu bs(+bhX = bhiX aequ. Ssbt: Ch) ergo h a qua Ch)
  9. jamm sit ED. e. HD. d. posito punctuum E. esse datum. dabitur
  10. ED seu e. Dabitur et AD, quam Vocabo t.
  11. AH+ AG,: FG:: AH + AD,: DE, sive h+X,: y:: hat +,: e
  12. seu het ex aequ hy+ ty. seu h aequ Ly - ex, : C- y
  13. et hh aequ l’gy - Ete yX + eC XX: ee- 2ey + gy
  14. Unde fier (4) aq. ScFy. ex: Aex
  15. seu
  16. Ats Ex= 2teyx + Cexx + 2X ety- 1s +tx -Cx + exy bs- txy + Cexx
  17. 1) ago sse ty exB Tollanus irationales. fuciendo (D O chx a quissch .l)
  18. Z+V52- ess es Fs Exx- iteyx + eexx
  19. fiet O: c
  20. seu O, usequ S cchtr = 25) tih X(h) + CCtih XX (41)
  21. Cs s t atib b5 hi e) 4 212s 2hte 14 ( bshi) - C hicti) (a xtibi, uq Se . etr x h. )
  22. et divisiromnib,s per Sh. fiet: si fingamus. 2b fXt_ti) aqu 262s tanCh.)
  23. st ct) +2bXCL.) t se fingamus: 2b s Xh(h ) F b5 4) aequ s Cti a 25 Ct X )
  24. et quia h aequ. ty- ex,: en y fiet: he-hy aequty- et seu fiet:
  25. s. Xx . hn+ iht + F aeque h rehx + exX
  26. lum pro parillelis sit EF et DA sit a in circulo haequ. NC: 1bs- e - ex aq H

Cite

Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 79v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068531:0158?run=74