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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 56r, page id 00068124:0111
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de in speciem
Ca
2
impossibiligus
26 Maji 1679
+ Va + S b + V a -1b solvuntur per angulisection
Va F- b + da -- b si v sit major unitate, possibiles
quidem sunt quantitates non tamen solvuntur per anguli sectionem
in speclem
sunt e aliae impossibiles, quae per anguli sectionem
non solvuntur scilicet ex pluribus compositae
satio autem s cur Ya + 1- b + Va - - b sit possitilis haec
est. quia
Va + -b aqu. a (+ 2 a- b) +
is
v
Na - f. b aequ a (- =a . b, +
seu aequ. 2 a
Zy-1, Z- 3 + -3 20)
a - b (+ 22 a V-b
2
2
v
2, Z-1 23
2a V- b(-
2214
)
a ui valor est possibilis seu realis.
t
123 a - b
Nam: impossibiles sunt, in quilus reper V. b. Y- b.
quae destruuntur. possibiles vero sunt. 
sioe.
- b.
1N- b
S-t
en
V-b
- b
Nam in ris 2. in exponentes radicis numeratore destinitur
Tantum notandum debere esse V numerum imparem
nam si esset par quantitas ista.
Va + 7 - b, + V a - - b foret impossibilis
2X
2V
itaque protesibus id quando exponentes radicis ex
ex trahendae sunt pariter pares pluribus opus est partibus
ut ex toto aliquid possibile, rectet.
MM
(- b