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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)
# Folio 293, page id 826603459:0339
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016.
C AP. 33.
De Proeressione Ceomerrica.
tremorum distantia D; adeoque e T = DF Y:
9 Daco termino primo, cum ratione communi, de numero
cerminorum; A, R, T; habetur ulcimus. V. Cum enim, per
DrOD: 16. X =Ad. ErICARd =A n 7 =V.
Noca incerim, ob commodioremnocarionem, cum hictum
Poltea, proT  I, DoniD, vel d.
20 Daco cermino ulcimo, cum ratione communi, de numero
cerminorum; V, R, T; habetur primus A. NIam CPFOPECE R C
=X) eric Rd) V = X)V = A.
2r Concinue proportionalium; E duorum quorumvis re-
Eansulum per terminum primum diridacur, prodibit cerminus
cujus index (sire distantia a primo) aequacur illorum indicibuo
Timul Cumeris. Sic enim,
verbi gracia, termino.
rem inricem nrulciplica-
eorum unius index m.
alcerius n: CrunE ergO
cermini illi AR m 8e
ARRR = AB
XARR == AR =
AARKRKK = A ZR 
ARLN; Per PrOP. 2. horum ergo rectangulum ARm X ARN -
A ? Rm rn, quod, per A divitum, extibet ARm an, hoc eR
Cper prop. 2. cerminum illum cujus index cst m L n, indicum
illorum aggregato aequalis.
22 Lodem modo; Si terminitres, quacuor, quinque, aub
plures, concinue mulciplicentur, productum eoc vicibus una
minus dirilum per rerminum primum (Ere ea primi pocectate
divisum quae uno sradu minor est quam numerus cerminorum
Sic concinue malciplicacorum, ) exhribee cerminum cujus index
illorum indicum aspresaco aequacur. Puca, E concinue malei
plicatorum indices (InE L, m, n, CErINI CTUNE ARL, ARM, ARP
qui inricem ducti Facient AAARI Fm +n; quodsi dividancur
per AA, vel A, prodibic ARIF m +n, cerminus nempe cujus
index l. + I + R. Per PEOP:Z.
23 Si icaque continue proportionalium primus cerminus sn
2 (quod in cabulis LoBarichmicis poniturs) duobus, pluri-
Bulre, concinue mulciplicacis, provenier terminus cujus index
allorum indicum a8gresato requatur. SeqUItuIT ex PFOP. 21, ee
22, Ouia nempe quae illic imperacur dirisio per cerminum
primum (Eire semet sive (xepius Facienda) hoc calu (cum pris
omua