LBr. 396 · Hermann, fol. 55r
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. 54v); this page is its right half.
The machine reads it as
- ubi dabuntur do do, ddv, dy Nam ex 3 et a fit Z =-aadx dx atv:
- -2ydydx: 2dx Ax = Vsau dy - 7y fdo): elydo)) et per 1 tollendox, fit
- addudav-2ysdy (aydo): 3d gdo = V(a ady - y9V (llyco ) ),3
- quodsi malimus dus facere constantem erit tatis progressus
- do = (11 dxdy: dus ddv: )dx d lx: ly. jam aeqspectalis CY(dydo)
- aeu = (7)= red + ggex. Ex 1et 2 fit de B= 2X deddx: (dxdX. do
- seu av 3 2X dvddx: dx. jam aeqospcialis aag Xxdxyydx. et
- hanc differentiando a 0 = (5) = XX dX F BZX dxd, ∞ yy ddx
- L 2ydydx, et per 4et 5 tollendo gyficYB 16) = iy algxdX) (aady: AX) = XX) dix feydy
- seu (per
- qu
- (XXdX) + (aa x. do) dx L 2yx3. c0) + EX y. 4 fiet aa dx Xxdu + VydC
- erso fit o G-axxdx) ae (ax ide X aX72.0) aaX. dvx
- erit nudx=an vel
- n =udx, hoc ett nu suax et
- ndm = EdX vel dm = edx et m = (edx unde y =mn
- nsZdx
- 2
- 2
- Dua eadem ett cum Tua.
- Nuxerrime in Acta evudit. 1698 pag. 471 incidens, uli el.
- Joh. Berroullius dicit, genevalem se invenise methodum secandi
- ordinatim positione dates sive algetraicas sive tronscendentes
- quiV
- ita res revocabitur ad aequationem differentiatem ordinariam primmigrado
- cuvves in angulo recto, sive olliquo, in veriabili seu data lege
- variabili; vires pariter meas in hoc Problemate teutare volui
- est
- uo
- quali autem Suuchu Juum, Vir Mui. etto judicium.
- prods ponamus du
- Sine duae Curva AB, Ab positioe data
- sive algebraica sive transcendentes. Sita
- Bb ad utramque normalii, ex purctir. Bet
- b, ad axem AE ducantur; si placet, perrend.
- BC, be, sintque AC =X, eb = y, ee = Ccde
- bc = dy, differentiale vero et quatenus appli cate
- est curva B0, est BD = dX; unde cum Bb sit perpendiculi ad ACb
- erit, Db = DD, DC hoc est - dx = dy dZ, vel
- d2 --
- ax
- dx
- ag
- ... A
- Sit jam quacunque aquatio aadu = Xdx + yy dx. . . . . B
- vel integrando auy = 3 X + SyydX, vel aa = X + rxX (aut ponendo
- SyydX = p3) = 2
- 39
- 12
- +. . . . . . . .-
- ja
- in aquatione B substituantur loco dy et dx proportioalia dx, dZ ex
- aliam adm + man = Eax + macaxi ergo si scit mnudx-mndus ajuctione A erilau andx = md + qyoZ vd au -
- dx
- ax
Cite
LBr. 396 · Hermann, fol. 55r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 316). https://leibnizlegible.com/page/DE-611-HS-973581:0109?run=316