Leibniz-Handschriften zur Mathematik LH 35, 7, 13, fol. 11v
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: 0.77.
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The machine reads it as
- quousque continuandum in m istendunt datae in b et c et f.
- sit do de = ttu posto h dari ex _ X. faciamus do = dy: y1 et
- fiet dydus= gyl eh faciamque B = ers fit du 1 y sy. fi sey
- do = (2 a V
- 13Z
- q
- = Edy.ps et dudo = dydy: y = tau
- seu dydy= t1s
- Sed video comparationem non bene procedere, si absit simplex dy. ergo pro
- dus ponamus Ergo ponamus de = i x Plax et fiet de+ lax = h dx
- seu dodo + 2l dudx +NI dxda = h dxdx. seu fiet
- dodo + 2l d EHI, = 0 ubi l et h dantur ex X. sit du = dy: y
- ax
- =h et fit dydy + 2l y dydx + =H yy dxde =d
- ergo ergo in b dxdx + caxdus + fdydy fiet b = H yy c = 2ly et f =1
- axax.
- adeoque fit 10 =0 1=0 12 = ( H - h 13= 0 ek.
- 30= 1 31 =0 etc. fit d50 = a
- cvanescunt n
- Inaeque vero tertia fit 12. 51. S1 (- 21, 51d51
- taciendum ergo ut conservetur aq. 2.
- u
- si
- sit ergo V = d dv =
- yt4
- dy-2d4
- Yy + ∞2y9+q
- dydu = d7 dz, X X
- fit dus dy - x
- h.
- 20=0 21 = 2l 2220 ek
- seu 50 gtans.
- in 59. 2 oa
- ∞+ 30 dst) dsi sed hac nit lacramur
- ubi q pendet ex X
- sit y = Exy + By +D
- p
- fit qlydus Xy + 4 dydys By + Hydus )) =ceCF
- Xdy +ydx F Bdy + 47 ex
- 2 Y...
- nut sit Xy= By+XC L Xdy + ydoet Ody 3, C h (uy tR
- rdy dx
- ergo licebit.
- itaque si volumus in vulore ipsius dycdis, abesse
- axdx
- numeratoi s R absolutam
- fiet hdY axY + d)) K = 0
- a, ubi d3) non fario 0)
- pusiliretur ad vy dxax
- quia alioqui non haberetur yaxax sed statums
- CF C seu V) = -K: h. sin ila fare t oystum
- veum facio K verum facio hV +k-d
- Resumamus ergo sit dydus = d2aZ, hq +K. sit Z = q y frit aZ= xdus +dx
- et et
- +4
- D2 sit Z= _H βX + γ y +b
- fiet du dq= Xx dydus + = X 9 dydx +ggdp
- Sige +
- = (X
- 64
- in fir d2dy βBdx + 23) dxay +YY dydy
- in sE (A a +K ettgut = B X + V y + B + 4βX
- nX 1
- 3 Xy
- 313X93 + 6B (3YYXY
- BBBBXX
- 1V60yy
- + 12 3YB Xy 12β(16Xy
- (3 YVDXy2
- +
- YXy
- Et fiat BBK + 1bβ +q BB3FC
- et7
- = 0
- sed nec sic possu efficere, ut obsolutum de pura on
- x coefficiente carens evanes, at
- do do = eh dx sint d e V = Y6o t bIK 4 62y + 62 X9 60 + f1 + 6, y +62yy ac
- Ey + yg
- sed omisso prius numentore hoiatore fit fiet do = 600d60 + d6i y + doc yys erc te
- + 61 267 +363yy, dy sen fit dudo = 460 +24460 dbi y et, dxdx
- +
- 61. 61 + 2. 261. 62 etc, dy = hax ergo 160 = h. seu quae
- difficullas est par propositae. Ergo addendus et nomiaa v = 60 +017, :70 + 71y
- lebv
Cite
Leibniz-Handschriften zur Mathematik LH 35, 7, 13, fol. 11v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068084:0022?run=73