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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 182r, page id 00068201:0363
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a lanqua eutstul deo se
seraines.
De Tolbendis incognnitis
sit a + b X + CX + dX + C X erc. aequ. 0. et rursus: l+ mX + nX + p X + qu’eu aeq
quaeritur alia aequatio in qua nulla extet X. Quod fiet si scribatur atriusque aequationes
cabus quadratum, cubus, qustum, erc. quantu sa omnesque aequationes productae per
arbitiarias multiplicatae et simit addisa conjunctum datis omnes simil addatitur
datis: tot autem adhibendae sunt, quol sufficiunt aequationes, quot sufficiunt
ad tollendos literas terminos omnes quibus opus erit. Imo non opus est
ad hiber potentius sufficit multiplicari in ipsam X fiet.
oaqA a + bx +CX + dX + CN
+ ax + bX + cX + dX + CX
+ ax + bX + CX +dX + CX
+ ax + bx + CX + dX +ex
l + mX + nX + px + qu 
+ lX + mX + nx + px + qu
+ AX + mX + nt  + pxE qX
+lx + mx +nE +pX t GX
si velis poteris solum terminum X relinquere;
item solum terminum X. vel duos
tres quoslibet t. eosque in data relatione
quan exponentium vel nefficientium. Et si plures ad sint incognitae
eodem modo, procedi potest, unde quando problema dele Eadem
methodo habetur etiam ex una aequatione valor ipsius  per
seriem infinitam item vanari possunt mille modis seires infinitae
iuprimis miscendo inter se diversas aequationes quando,
problema est datum dirbus, aequationibus ad duas incognitas. n sed
)
copungandae diversae multiplicationes: una per v. abtera per x.
cy7
Nota in si
ertia per yx. pro tuo
plures aequationes pliicesque in conbitae ine
ductarum per mulliulicatione
sint
cebit misus tolidem
simul ac semel tollendis eodem prodo proceditur exaltando
aequationes et invicem jungendo; nec opus est ordine tolli
cognitas. Vel esse est quidem altissime ascendi sed possunt
undi tabulae generales pulcherina.  sed postea in fallor
quaerendi maximi divisores communes, in applicando ad species
Cum aequatio est. a + bX + cX erc. suntque b. et m
termini non rationales tunc multiplicundum semper per X. vel
similis, sed dubito adtua de successu
paer
e