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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 26
# Folio 3r, page id 00068071:0005
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postquam Analysin quadhaturarum
in ar est
rationaltum simplicium qualis (0: 6) VDdx
in genere constitii, posito 6, D, esse formulas
rationales integras secundum X. Venientum
jam est ad specie exempla applicationem
Et quidem Utile in primis erit i ponere
sum o incipere ab L e = 2. et
D = 10 + ux + 12XX, inde pergere ad 7 3tii et
 eot quarti gradus. Et omisso eenominatore : _. C
Esto 9 = X Se Qveritur ergo (X  oruXF) dx
jam ex regula generali seYodx = d ++ AX CY D SD +52 8DcX
ex Et posito gradus ipsarum ), 4, _, 4 esse ∞, 3, V, d est et
) = (B+1 - a, et d = _-2. itaque cum _ sit 2,
+
E i Et quidem si Y sit 0, hanc et quadraturam, ut infimam, nunc supvim
 et β sit Y, fiet V = r-1 et 5 =0. sit r =0
simplicilsimam  suppono si  sit 1, jam habetur aliunde quad fura C
quad Na C t Ex Nam Hinc si Y sit 1, fiet etiam 1 =0. ad a
Si Y sit 
uesat
8 = 30. X = 30 et 2 = 40X = 4
30eBosdx
ade adeoque V 30 et d 40
et differentiando Xe Xdx = 30) et 1) dD + 40 dx
made
seu X =(et 1I + 30((+1) 2. 2X +40. Ergo fit 30 = 1. 2. 12 (C21
R DSB - 1. 1185 D dx
et 40 = - 1. 11P. 2. 12. Ac proinde (XV)) dx 2. 12 (P+ 1)
2. 12
Quaeratur jam (X SXX YBdx fiet B = 2, et J = 1, et S  ut ante
itaque 8 = 30 + 31X et 2 =40. Ex canone
nostro est 31 = 1: der l: (3er212 et 3∞ = (2 et d 11: (3 et 2)  (ret 3)12
et 40 12 ( (1 et 1) 1 3 (2e+1) (2C + 2) 1 B t
et 40 = = (1e+ 1). 2er1). 11  (1P +0) (2et2) 10. 12,: βe+2) (2e+ 2) 12
et 41 = = V+2) Ret 1) 11B Z (2CF1) (2e +2) 11. 12,: (3 et 2) 2C+ 1) 12
seu = sed ita fieret 41 =0. Ergo fiet
XXVD ex = V
=2et 1) 11 + 2 e+ 2)12C9 esp +
(3C+2) (2e+2)12
+6er ) (2et, (X 1eto) per2)0n2 A
seDx
3et 2. 2et2, 12
(0 d (815) Led DIS + DAD DiCR
Er = (+1) dd_. e
uisu s23 e B