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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 99v, page id 00068201:0198
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Examinemus in minoribus
X + multiplicetur per X +b
sunt totidem arbitrariae ac si l +a multiplicetur per l + b.
ap
Rursus
Nam totidem sunt arbitrarsae in
X+b et in l + b. Sed) similiter Tolidem sunt arbitrariae it
X + bx +C, et in I + blm + cl + d
3t simileter
in caeteris itaque regres huc redit
Aequatio.
X X +q+ + pX + 5x + 8 aequ. 0. explicetur
pet l= min + p. explicata  multiplicetur per
0
 +. lm erc. prodibit l etc. Quae multiplicatio
ia
105
ut fiat commodius investrgandum est calculo quid probeat,
in Tabula exhibendum est quid prodeat si qua forma 
per X vel aliquam ejus potentiam multiplicetur ut mmirum
productum statim scribi possit.
Hoc jam scripto multiplica
1. per formulam similem item lm. per aliam inferioret
et Pnsi ad huc per, inferiorem, tandem l’mn’o solur
adjiciatur Nota difficultas in eo est adhuc quod valores
quaesiti ipserum l vel l’in cogredrienter afficiuntur per
alias arbituarias. sed jam noto. Itaque sais Quod evitatur
siPuto tamen id nihil e nocere. Et forte
ne opus quidem est ngltiplicatione aequationum 3. 4.5. 6.
imo necessario multiplicandum, nec sufficit eas limul
addi alioqui non possent distincte reperiri. b. c. d
sed solum eorum summa
Forte sic com
pendiosissime per hanc quidem viam: primum
X + qx erc explicetur et ponatur V aequ. quantla
cognitaemnidade alicur ejus parti.
residuum exalteitur ad
gradum decimum (cui addatur 1 -.. etiam exallat
ad gradum derimum, si opus)
ubi rursus
15m cec
ponatur aequ. quantilati cognitae cuidam. Residuuim exalteli
ad gradum quindecimum, ubi ponatur 1Em aequ
quantitati cognita denique residuum exaltettur ad vigesimi
ubi ponatur 1mnp aequ. quantitati cognitae sed
jam video errorem, quae novissima invenienda sunt
hoc modo invenirentur prima