Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 4v
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: 0.83.
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. 5r); this page is its left half.
The machine reads it as
- inveniendu est calculus
- sol solas eductas
- differentialium
- es umbilicis
- Ellipseos per solum
- AV sit 9 EF sit e
- EG Y FG q.Y
- Datis lateribus tuanguli DEF, datm
- lateribus singulis tamen prius di-
- summadimid _ +r + g- r = _+9
- 3tia
- fitanea eva
- sit area, q in C - 2r-9: 4
- 3 Summa 2r-9 et C, F. diffia eora rectanguli
- ex mediis proportionalib, inter duas primas et duas ultimas
- pars qudta est area trianguli, et dupla dimidia
- parsest area paralle logiammi s quae divisa per
- Est autem tr ducatur GN bisecans Angulum ∞GM, patet fore
- ror pollus ia MGad MG+ _ GF
- MN ad FM, ut EG seu Y ad EG+FG seu 4. Ergo
- MN = ...... .. : 29. Est autem GM=
- =Y = FM = L 4Y. q. Y + g C. C - 2Y -9)
- M: FM: Gd seu AB. Y: DL seu dr
- Y: FM ( 1) = ab = drr: drY
- in C - 2r - q = 4 a 0 - d Y : dr y
- sigq. rq si t - pr 4 r un - hhec +hhpp =
- gc+0
- 12
- = 4rrqq- 8r4 + 4r= hhee + app. +
- trer 9r + 9t- aer++eq equ
- c
- +r - 4 tr = Erte
- -r +g- r Etg - 2Y
- =4 + r + 9 - r = q -
- qe 4: 4
- seu si ex ponattur: summa e et q2 differentio eorundem
- quar
- seu 84
- area, quae sit ex di ducta sumnci
- et omnium differentiarm ex tribus
- midiatis nempe-su
- diff. pha
- 2da
- seu EG dabit FM seu F M = .. . . . .. . .. 2Y
- il
- F-4.
- seu GM
- rE
- et p = r- na
- fiet p=2
- et hh = 49- et
Cite
Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068160:0008?run=74