Leibniz-Handschriften zur Mathematik LH 35, 7, 6, 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: 0.71.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 4r); this page is its left half.
The machine reads it as
- EGZ =GH OIp. H ( + G0. GH, : quG H - qu. CP
- Habenius,
- lam duarum AZ, seu insius HZ et ipsius (Z) Concursus
- sit ex E agatur in Ad pormalis AC ∞V
- Z0 t ∞, eet ZV sit v, et v=
- etfiet sit x et fiet Z. F O H( + G0. GH, = (qu G H - qu OY) E: V
- e
- et qua Z eto communes utrique puncto H, et Z, fiet
- OpdHW F KIP+OI = G0dGH f GH dG0 = 5 :V, 2GHdGH = 20 1p do1
- G GH = OGX sit Z, fiet Gdt = rY ZE
- GHAGC + GOdGH = _ GHdque + qque dz: GH = GH qu + ZZ, de: G H = qu. OH: GH
- GH = 1 (rr - Z2 dGH = - CZ d Z: Cg H,
- GH =y fiat e dGD. GH = rraZ:y
- y = fErR - X5) du - 2F = 2X, dxe = r - X dx Z - 1 X, 17 - . 4
- Xdy = rX - XX dy: y 2y ydx.
- Xdy + y dX = rX - XX + yy, dx, : y = E YX - 2XX, dx : y
- -rdy = - YY + YX, dx: y X Ergo A (yY - ry) - eXx
- +29dy = 2r 2X, +X
- quia dupla nec trianguli H0Z = GH in 9Z = C 1 in HZ
- (29y -- rr:
- d yZ - y dz - 5 dys
- fiet. YY dy :Z
- ry +7Z + 27
- Ergo 2 d CH)
- Est autem
- tur
- e oiit
- Z0 et
- eusen
- + 1
- V ad C. Ergo O+ est rv: C Et HIp = H(HO. HO . - Bp. 01) = 1
- fiet H ep = v fCC - rr). r Caompendo HIp = vt.r
- et fiit Ex HV = Frrcc Y S(Cc - vV): C Ergo fiet
- Cn(ErX -XY) 9Z =Y rv L (CC- v1) + ar v 1(0Z0Z - rrvn)
- vel ccy 0Z 267 rVI +er V H(CC 020Z - rrvv)
- Ex punctoqus concursu ipsarum HZ ordinatim datarum
- LXX -
- dx =ydus : r X) = 2y7
- agatur in diametium Ad, si opusproductam normals Z
- a ico Y, -x +0Z. Se 5uau rus Cum autem et
- rridus
- et rydz22d
- des Eugo 2 d. (12).
- b2
- yt 2) (d3F au et aly). ydy +zclys
- ol y2) = ayaq + 2dus et dy = 2ry dy 22 aevra
- unde ex aqu. si fiet.
- cc yx-cegr +cegisa: c0)=rrtii
- = Yv, vlb+ICCez Z+ Ccgy a - 2CCy Z b - r r vV)
- di = (r. )
- do: du
- dY(cckEL...)
- fiet co: ∞7 HGH: GZ. seu co, y:, 1 - x L OZ r + as: Co) - - Z co)
- et vocentur ZV, ; et VE vocetur
- sumtis punctis H et Z H,et (H); item Z et (Z,
- +2
- Cr go
- d
- 4y. Vr
- agrs
- deoip) = d.
- Adx +Xdy sd Xdx.) yydlx ds
- hydX = Xrax - XXC(X, - y
- lementanter diversis manet punctum , ideaque et etiam inter differentiandum uraer xrux
- nobu
- y2
- ) Z dy= ydy. Z yd Z - Z dy = gncus 2
- gy +Z
- qu(
- Op. 04) e Hinc GH. DZ = oV. Is1 + p (020Z- 0y. C)
- fiet GH. OZ = OV in HW + 0Y in 2Z.
- manent V et co, tn et fiit 5 dy:c0 = - dy + d. Oq seu daZ = v dy. + dx
- dip = -, v dv: cV. Et differentiata aequatione N, fiet vec OZ doZ- A, vrrvar ==CC is: c0) dy + cc ydx
- seu fuit sC :Co) s + CC dx + CCCV: Co) ydy N(C. C)d + Yd (Ccjeo c ccodgy +Cc gutr . X) - 2cc (as. c.) y (x a) = 1 VV)
- enis doz + CC0Zdy Ydv t, dv N(cC 3703 - rr vi)
- rVB
- (CZ
- rer. C)aotrd Ccu DZ rrY ErCEVEZ dx + nc.OZ dysov. c) Er er vdo= 2cc a. c) dys tcc yd
- 10702- rrvi
- soad
- oiro
- ccZr
- = Ce gay .c0) cCyBZ + Ceydx Ccy CZ + P’ex ccy OZ ACcyd 2y (a. co) rr YX - ccydx rNVP , V u ro
- seus
- ilqueiffererhata aequ. B, fiet cerdu (ayy- 1r) + 2 ccydus = rffir a et 1rcC dv F rdv, A(cC2) +...
- v
- fiet Ce du (2yy wr) 4 2cc a y - rr cedr,
- in
- CeyX -recy + C yy - rrni,: rb
- (cZ
- sc
- ed
- r0
- LCccZ2+.. ) = co Scey tcer. pu nuiv. 1
- cGy - 2Cc yZ rrum
- 12cc (ve
- iu
- Errvdo
- e (cez
Cite
Leibniz-Handschriften zur Mathematik LH 35, 7, 6, fol. 5v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068078:0010?run=73