Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 290v
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: 0.73.
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The machine reads it as
- ya X B 30077 2XgyZ posito
- celse
- psius aequei quaeratur differentiulis nempe
- 2X)
- Zic = dx
- id,
- EXXadque t axuadu = aax 3aaydg 3aaZdy x yd. 2yyxdg 2yyde
- et dividendo per dy. ac pro xdus Tubsti totendo Z: a, fiet ex 59. 3
- eL
- f
- Xxaa + q ryaZ = aZ = 3 jam ut tollatur
- ay
- et Z: d = dx : dy = 2XXy - aX: Ey 3aay
- 2
- et pontatur et fiet dque fiet dZ (2) 3acy - 2xyy
- haay = 2X YI 4Xy ex +2Xx dy = a x (= 2XX y - a X. 3aa dy- aXy dy(2yydx
- sit compludio 3a4y -2xyy = n et EXXy - aex = (m (gl
- dzHB = AnXyax + 2nXxxdy = na dx-(3aamdy + 4 mxy dy + 2m ys dX
- ubi pro m: n ponendo Z: a per 1,2,4. 5. Et pro dx ponento Zdy:a
- 1
- ex aeq6. siet 4XyZ +
- Xxyy3azay 142y124y
- n
- seu du. any Za dy v auxxy Gxyzu +2ax dy - a2
- e BZ: dyc txyque + Euxx aa Z 3daZ + 4Zry.
- d
- la
- = 4XY.
- seu vid
- at na
- it ex sg. 6
- y + 2XXdy a47dy = 3114 Zdy +47Xy dy 27 yyZdy
- n
- ue
- na
- =Xy Z+ 2XX aa aZ.
- da
- na
- naa
- 4aZX9) + 27Z y ap dy: na
- seu dz = 8axyV-4aaZ + 29yZ2 F2xxaa et per compendium
- 18)
- 8a py= 4a vocetur P fiet dZ = pZ + 27y7Z + 2X Xac, dy: na
- 1
- et Z (pdZ + Z dp +4yyZdque + 4y7Zdy +4 aax dy, dyH
- a
- pZ + 2972Z+ 2xxa4, ddynF
- 5Z + 29yZZ+ 2XXaa, dy dn
- ubi adhoc pro ap, et un subslituendi vulores
- nne
- per aeg. 11 et 4, inque iis tollenda prius dx per aeq.1
- inde jam pro aliquid licebit compouere exus aequationem
- dus ddx a et co (vel etiam sine coconstante
- infinite parva e ut inde nascatur aequatio tractabilis
- (x
- 21
- s
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 290v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0576?run=74