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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 130r, page id 00068199:0259
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Quantur ( (du ((2 + ab7 Z + aC) M3 N. posito M et N
esse formulas rationales integras utcunque p secundum Z. seu quaeritur talis
Quadraturae reductio ad rationalem. Reperi hoc praestari rationem ex formula
aggregatum duarum
quantitatum radicalium, ubi radix non sit extrahenda expenore, qui assurgat ultra 23.
mula
VL
Ponamus Z = O + D et sit O = L(10 a 2P + 1 aa) et D = (20 a  + 21 aa)
=(0 +60ODD+ 490505
abzZ = ch ab(00 + 3D) + 22ab 09
aec =l
quos duos valores coincidentiando, fiet ob O8 fiet, ar = 2 (001313
12. 12
et aarr = 21284 1. 2
12 12
aarr = a  -12. 1OOD + ab 00 + ac
4
HHine et comanude venin posit ad extractionem feat
ubi non licet faere 4: 12. 12 = 1 alioqui fieret 60D) aequalis constanti. Ut
aarv = ( 12. 12OBDD + 2. 12 ar6)
egol rttamu aequationem extrahibilem, faciadiu
+ 12. 12 -6 (() + ()C
3t + B2. 12
54
DD
+
aarr
Ordinata aequatione fiet
ut ergo ad extractionem pervenire possit non explicatisoD et DD,
73. 12
aabb - ac
+ ab
12. 12
1
ponaturse
+ 12. 12 -6 =4)- 2 et fil 12. 12 = 6
sed video hoc non licere, sic enim O et D plane in aequatione
12. 12
seu 1h. 12
aestruerentur, et fieret
aabb- ac = 0 contra hypothesuu
13. 12
4 12(2 - 6
12. 12