Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 96r

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: 0.82.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 95v); this page is its right half.

The machine reads it as

1. YV
2. Sir curva Y Y. sit, positione data curvam eam tangens. AX, sit X XY sit y.
3. AZ, sit Z ZV sit V. si linea Vs sit recta fist TZ: ZV =Y: a
4. et AT, sit t, erit Z = = AZ = AT -TZ = AT = YZV: a
5. et firi Z = + - rV: a. Hinc in casu concursus, fiet
6. dt rlvra dt - vdr: a = Data jam relatione inter t et Y,
7. et i habebbitur dr: dt = _ et fat v = vag (
8. fiet V: a = F, seu + = v:a et similiter
9. et
10. r- V. a
11. e Est autem hic Z = x, et v = y, in casu concursus,
12. et fiet X = yia - 1 v: a
13. sed si quaeramque ut problema Tantentium inversum, fiet:
14. dy: dx = y: dX + AT AT: AB = dx: du ABdatur ex AT
15. ergo fit dy: ex = AF Ergo fil dy: vel AT = dyidx
16. Ergo fit (= X = dy. dx) dy. dx = y
17. vel y = +d
18. LX Z
19. 2
20. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 96r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0189?run=74