Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 201v
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
- XB sa b+ CX) = sdx sceb + ex +25 x dx: ab + CX)
- X
- y = a4: x fit tyt dy = - aadx: XX et (dydy + Ax dX) =
- a dx (a + X+): XX sit dx : XX = -d 1: X
- 8
- et sit aa: x = y fiet aa dx: XX = du et a +x = a + a
- X1
- et fit dx ((a + X) : XX = - dy (a: yy) (a + y)
- XX (dx Va +XF: Xx = Sax ((a +X) + s, Xdx sid X s(a + X) : XX
- f sdx Sa +X). X = (dx (a + X)OX +. (dx S dx 1a X) : X
- +
- () + XX: Ia + X
- e
- S(a +X) : XX = a: XX sa LX
- a: ++ +X: +X) sed posterioris
- -1 (5
- (a + X
- summa pendet ex ce summa ipsius Y(a +X).
- prioris
- a
- a
- Ergo et summa
- 1 +2(xdx: Ya + X
- Ha +X): XX = dx ((a +X): 1
- -Idx (a + K): XX C + (XX dx Ma X
- qu
- XX Y(+ X) summari potest per curvam Hyperbilae
- 4
- (a +X). 1
- L XX: Nat X). Ergo
- Si horum unum sumuratur ex curva Hyp. etiam alterum
- (( +X) :XX = a : XX 1(a+ X)
- Ergo
- 4
- 4
- :x = 4 dx Ha X): XY + 5 +a 5 (dx (2tX): X
- ex ea summabitur
- itaque posterior pendet ex qatatu carvae hy perbolicae extensione
- a
- B (a +X
- recta
- XX: M +X
- = XX NaFX . 14 +X
- quod relobetur tandem (10) in XXO A(+X
- e
- in
- a
- in in X N(a +X):, n +X
- Ga
- 4
- A. + X et vel
- 14
- et XX N(a +X
- ... +x fiet 4a dy Saa + ay:.. + Vay
- sit XX = av fiet res reducetur ad d avdvadsaa + V):. + sav
- sit X = ay fiit dy ex X a +X
- C1a. saa +XX: Laa + ax, reducitur ad
- in numeratore C nomnalor
- + Vax + aX):, aa = ax
- aa + XX: a + sax Hoc multiplicetur pe
- per a - ax, firt aVaa tXX: aa = ax
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 201v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0402?run=74