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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 296r, page id 00068201:0591
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Uadi jam facile habetur absolute valor ipsius 9., si fiat aequatio haec: g + 25)g +- be
 extracta utrobique radice quadrata habebinus: 9+  = sE - 2
B
Htei
+02
+52
Habemus ergo valorem ipsius g. et per consequens valorem quoque ipsus ED inventum. Unde cam duci
possint non opus est, cur amplius earum valorem in ipsarum locum substituamus. Restant
aequationes duae, quarum ope, incognitae C. et e, poterunt inveniri Igitur ex comparatione
duorum X oritur aequatio haec:  Y 
et ex comparatione duorum absolutorum fiet aequatio hac: len
2 + 5Y. RC+ C=
=51  + G7 + 2gC + e - 29 C + C4. = 0.
Sih + g + 29 s 2
2que
2 en
2e  seu substituto pro e, ejus valore,
 seu C= XC + 
et et 2CXC
+  C+ 2N∞ 74 7- 29c
Ilude habebemus ordinata aequatione.  C+ 8
~ 7
2
_ =29
+gr
+ 2927
+ 4
72
+ 74
2X c2 2767C
-2ec
Cum ver nullos regotio ex hac equatione extrahi Radis possit habetimus abtolite valorem ipsius C.
Si Inventa autem C, habetur et ipsa e.
sMoten. p. 340. et p. (39
2 = a + a  a ∞ b, B - a + V - 2 ab
Nola diferentiae incommoda est, quonium non potest  divelli alterum ub altero, et si sit a Y
hyviliber ex cognitis Multiplienttibus aequationis alterus nempe in n. Y S. molhpl candus
per L.  Veniendum nonnitul ad explicationem literatum etsi valor earum sit cognitus
ita enim fate monnulla brevius enuntiari poterunt, ac primum a = +  f 2a 4  = af 2ag + 4
egu. N. _ eut = aFg, vel 4a +9 nne fit + f a 7 19 vel sic + + a + +q
imo seusus esse debet esi 4 sit + tunc omnia esse + sin  sit  tunc alterutium esse
et alterum +. seu =+ =Y, +Fa Y
+4
0+
 (+ f- + +
∞, (),9. Sed hoc (4) vel (7) arbitiaro
est.
Bae + (+ H) aa (  (+ f +) 4 seu erplotatus sinus artihulus 4 4a + 4 - fa + 4 4
une patet esse β  Ilde mbligitur res agabilis; e  ess = ( et tarta non semper
a
d. +2a 164 fa  ex
d= β + 2.
a esse = (. Item illud obserrandum  B posse sumipro L, non
contra.. Illud interim verum est, B esse- . mocula crx (3. utermur ad ~
q ab eo
P 7 vas facile habetur
 = +2a 454 auffcatur a β-  aa +29 2, inde erit
1) = sa. )
8= 4 a , 4 =- β.-9+ +a
Eece N. Specimen additionis aut sttractonis signorum ambiguorut B. -  st
. F a - 2 = + = = 15  Eo2t - b
1s
0f9 12
B cumsit: folt.
=
= 8 a
+ 1 2
4a
= +a
-4a