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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 15v, page id 00068255:0030
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Adite alia Alias subtractu numeri a numero sic reduci potest ad additionem
cimatur sit numerus 314, a quo subtiahendus est numerus 122, sumatur erus prioris
685 sumatur sero 314 sumatur 999 hinc cuferatur 121
restabit 878, cui addctus 315, prodit idem Nam  est (9000 =1) - 121) + (31A   1) - 1000 = 314.
Complementais
395
685
dc
 
740
9d
ita subtractio ois reddi reducitur ad additionem
314 - 55 = ((100 - 1) -55) + (914 + 1) - 100 
1 34- 314 -55 L  100 21 1000 - 55 - (1000 - 314)
oae
es
10005
945
1000 - 31 L9b
1000 - 55 = 945 1000 - 259 = 741
 314 + 945 = 314 + 1090-55
314 + (1000 -55) - 1000 = 3 4 - 55
sed specialiora se consideranda dabunt, si consideremus e variarum colunnatum
adeoque et n diversarum olumnarum dependere a se invicem. Nempe conferantur
inter se residui ejusdem numeri, a numeris progressionis Geometricae duplae
151-  Re 51 = 1 A st = 3 sf. 3 45 . 3 As f19 19+ 3
 si A 3L. = 19 ex 13 = 3 te 3 - 5 ∞ 2 =1
itaque Residuus a residuo numeri majoris est residuns numeri proxime minoris si divisores decrescant
progressione geometrica, se et generaliter si divisor major sit divisibilis per niuorem
itaque 2e e P An  L R CN 1 _ e 1n -1;
X
B X t = Aet (R 3 ). p B (X- 1, p) = R (R C2- 15. 2p). p)
Revega autem omnes residuos dat ipse numeus localis dyadici scriptus
Quod si ergo potentiae omnes hoc observarent, ut essent primae columnae
periodus notarum finarum, riae quallinaerum, 3tiae octonarum, etc. ita porro. Severetur
datis periodis ectunnarum, dataque ratice posse potentiam inveniri sine exaltatione ulla seu
multiplicatione. Nam Ascribatur radix, quae eadem est cum nuntio locali: ejus ime
et ejus num ejus comporem aggregitites notae, euut oidine numeri desigmantes quota nota periodi
Cujussi columnae sit sumenda
L ax. gr. cabus Ab 21 erit 2t 22 dus posito incipi seriem a 0. (alius
2) mus posibo incipi ab 1) scubatur 22 nempe 10000 + 4 +2 = 10110, ipsius
2l, e in cubus in secunda prima columna habet 1, notum ultimam periadi , ot, in ida habe
columna habet, notam ida quae 2 quia t si 22 divida tuo per 4, restat 2, vel 10., t in
Columna 3tia habet notam btam, seu 110, quae restat si orIctiondas per e seu per 1000; i
Glumpa ita adhuc notam ftam, in col. Eta habet ipsem notam 2iman posito in priua
columna esse notas 2, in ida esse potas 4, i Etra notas 8, in ota notus 16, in fla notas 32
Ma 214
93
2
1