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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
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C: RP, 20.
De Mulliplicatione.
lea fgurae finalis absciltione linea Separatrice, num esus decu-
plominuicur; decrula nempe fieura qualibet in locum proxime
interiore, uc quae prius decades Teniticabat, jam honificer unica
res, _ sic de reliquis. Puca, Anumero 35 adjiciatur ciphra, Fet
350 decuplo major; sin ab eodem 35 abscindatur linc a scpara-
erice fgura ulcima, exit 35 decupio minor. Fc Smilicer jur
dicandum eric ubi duxe, cres, auc plures adjiciuntur ciphrae, aue
cocidem ab Ccindantur loci decimales; DCMIDE nuMErIS cemIU
plo, millecuplo, sca adjectione nugetur, vel ablacione minuie
cur. Adcog; in exlemplopropolico cum 365(25 Tic cencuplo
minor quam 36525, eric etiam 365(25 x 35 cencuplo minor
quam 36525X35; cumq; eciam 35 tir decuplo minor quam
35, Crit 365(25X 35 decuplominor quam 365(25 X35, adeo-
que decies. centuplo, hoc cA millecuplo, minor quam 36525 X
85. Cum igicur AC 1278375 = 36525X 25, ablcindende
Cunc linc a Cexaratrice cres ulcimae feura uc numerus tiat mil-
lecuplo minor, nempe 1278,375 =-365(25 + 3(5; ade09; f-
pura 8 quae prius signiticabac eoc millia, jam signiticat non nit
cocidem Unitaces, e sic de reliquis.
Acq; haec eriam sufficiane de partibus decimalibus mulcipli-
candis.
Tandem e hanc libet (cx Oupheredo) regulam generalem
factis locos, live in numeris incceris, sive eciam partibus deci numeri factos
malibus, dirisat. Cum (uos cuigi loco indices altignavimus,
ita nempe ut Clnicatis locus indicem habeat o (ut quinequ al
Ecendic neq. descendic) loci aurem lupra illum asscendences
primus, sccundus, certius, _c. indices habeane aftirmaciros,
2, 293, _c. _ contra loci deCcendences primus, secundus, ter-
tius, _C. indices habeant negatIrOS = L, L 2, = 3, _C. In.
dex cujusque Parricularis Pacti in multiplicatione, aequatur indicibus u
eriusque Pactoris simul sumpris. Exlempligratia, si mulciplicandus
st numerus 32I in 5Pa. Mulciplico primum a in F (quo
rum indices  2 8  1) e CaCtus CA 4 (= FX 4) ponendus
loco certio descendence, cujus indes cA = 3, 2 qualis duobus
in 8_ mo x. TUm 4 X 2 (quorum indices  2 80) FactuS est 8,
loco secundo delcendenre ponendus, cujus index = 2 = 2 +0.
Tum 4X 3 (quorum indices  2 e F x) Faecus cA +2, ponendus
(nempe quoad ulcimam iplius Fcuram 2) loco descendence pri
ne