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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 33r, page id 00068255:0065
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Constituta generali regula additionis dyarithmicae, vo
viacamus an ejus usus esse possit ad constituendam regulam quadrati
d
ec
hit
aq
bp
cnem
e
et
0
I
t
ch
d
prima columna habet eo Quadratorum prima columna easdem drabet notas
quas prima columna laderum
Sicunda quadratorum eolumna vacat
In tertia eolumna, addamus in unum ab et bl; fiet
ab + bl - 2 abH, et in quartam transferetur tab seu b(-a.
vadrasti
et in quartam transferetur tab. Hinc si a sit 0, tertia columnae
itaque tertia columna est ob ob et C sed b est.. b0b0b0b0b0 b oboloset sed
est ebius nota est
bseo sed secunda columna 1ateris est seub est .. ... 00 1 100110011001
0010001000 opo1 etc
it aqe tertia columna quadrate es
in quartam debuit transferri ab, sed a est 01010101 et
Nempe ubique est 0, nisi cum b est c, impare loco.
et b est 0011 ovII eti Ergo ab est 00010001. in eadem quarta jam est de
haec addendo in unum fit ab abl+ bd = 2abc et debet abc transferri
Cytorum
ab est 0001000100010001
bc est 00000011000000I
abc. est
in columnam quintam
000 10041 quae est periodus columne atae
0000000
0000000
In quinta est ad +bc + cl, una cum abc, et summa ad est d est 0818
Ergo ad est  08(01)4. bc est 2 0 ororte in (0212) in 044
Erg ab +bc - ralic est
id est 0+ in (1V) C 1(4 0440212 c est 0a 14 fit 040011 et in se quentem
columnam trans feretur 0414. Est ergo periodus stae columnae 0000011,
puto per regulam numerorum progressionis Arithmeticae multiplorum
 velut bternariorum, quinariorum, ete posse veniri ad regulam multipli-
cationis compendiosam; nam quid aliud regulam multiplorum ejusdem
invenire, quam simul datum numerum posse multiplicare, sed hinc porro habebitur et
regula quad ratorum; nam unus ex multiplicandis per datum numerum, est ipse
numerus. Unde prodactus erit quadratum. Quin et quadratus potest esse unus ex mul
tiplicandis, ita prodit cubus; et ita porro. Habita autem se propessione
potentiarum, habebitur regula progressionis Geometircae curus ope perveniri poterit
e  proiee cum nie i lut dumre