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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 79r, page id 00068195:0157
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Ratio cg)
cuc smso numerorum combinatoriorum sit progressionis Geometricae duplea, difficiles
3 Satis reddere ratianem, sed in eam rem
a ata A B 2a
ANX ca B1 X- 1a.
re
 a en 4  a, x- 2a
Cr, X - 1a, x-2a. B X- 1a, X - 2a, x 3 a
EH X - 1a, 2- 2a, X 3a, X- 4 a 112
1,2, 2
Connexio progressionum, Latet sub hoc transicu a progressione Arichum alica ad Geometriam mysterium
i esonisponis Ggonet
i potesatitm, qui sed
s
a bisectione. Si orirentura trisectione, an tri plae L videamus. XA ab m+ n +v. Ergo X n tmnt
et Xh _ 3mnm Omnv (127. Et jam demonstrationem video manifestissimum e
Aequationes umvm
radicum aequaliu znn B
per arithmeliam
facullimam, quia perinde est ac si partes essent unitates
rntenni m ablile foret hdc ex analytico volore derivare, seu 112+1
No Huddemus observavit aequationes duarum radicum aequalium multiplicari
posse per numeros progressionis Arithmeirae.
multipl. aequationem trium radicum aequalum mulliplicari posse per numer
pro qualuor rudicum aequalim per numeros progrestionis pyramidatis et ita porro
Ego observaroi
Quod facile demon
rabitur, si cum Huodenii exemplo, si modo haec sit ostensa numerorum proprietas, quod multipercando
1. 2. 3. 4.
vel pe
vel per
rC 1. - 2:
Haaec quosperiore anno
de modo
a 0 fiet - 21210 70
0 +t 12
1. 8. +1 10
per
alia in soheda a me observata leges.
  dmn 6n +mmom
ve moni 
u
.1 3
-1 0 n-649 -3-070
,bin. sund
+ 1 - 3+3 +0 - 1. non procedit
non ditrrre
recis quia
+1+3+677 0-3 +9-6p0 tlansitus ab atsi
et
10( 1 -9418- 1op ahlucti ut in
10 -6-G -1 1 10 +9 4itic
E 115.-30+ 18-310