Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 5v
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: 0.86.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
The machine reads it as
- quin et interdum una quadratura reduci potest
- ad tres, ute Nantvio (
- Sit ergo
- vi ax + (XVdio + sxWdv
- Na+X. a- X dx = O fiet et sit Sa+x = v et sa X = W.
- Fiel D = -X Sa +X: 2 sa -X dx et E = (X Sa -x : 2 fa +X dx
- quia -
- eH
- du + X do ideo faciendo
- quia vd vert d + vN do = v .
- reso
- itaque
- X Ya+bxetiam exprimi potest ut sit = X ve x seu ut
- dat bx = v et et 1 = ∞2, seu C = - 12
- X tatox de reducitur ad
- et
- quia (XV. dx +, ) DXx V do = XX. V
- ideo si sit v = a + bx et v = a + bX et adeo et 1 = 1. 2 et C = ()
- et du= bdx
- reducetur ( ad D = b sXX. dx
- Sic
- quia d
- aD X = EVdx +2
- in n
- DW=
- satbx
- m-1
- n
- M
- n-1
- imV. W do +nV W. du
- sit jam O Vm-1,
- in
- et a =x = WV, fit et dx = dv. fiet m - 1 = 1: 2. seu m = 3:2
- et n = 1: 2. ergo fit = - a +X SatX : ta -X dx
- itaque Euius summa dependet a priope adeoqu haec
- Et generalites proinde hoc calculi genere possunt i
- dala figura alia ad ib inveniri quarum s quadra
- turs datis, etiam dalae quadratura datur
- Hujus rei fructus est tum peductio quad caturarum ad simpliciores
- tum interdum obtineri fortasse hinc potest aequatio, si
- ut si quadratura aliqua reducater ad seipsam
Cite
Leibniz-Handschriften zur Mathematik LH 35, 8, 9, fol. 5v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068104:0010?run=73