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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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G A P. 29.
De RarionibuSo
25, Cuberip la. Supereripartiens. quareae; 7 ad 5r, Tubquadrupla
Supereriparciens. Ceprimas. Acq; in aliis pariter.
Oux aucem superius nocanda monnimus de ratinne (simpti-
ei) superparcience; eadem _ hic, mutaris mucandis, nocan
da lune de rarione mulciplici. (uperparcence. Nec opus cA ut
TCDCTANCME.
EAg: haec Racionum distributio quam cradune Recenciores
Rrichmerici Ouippe non haec omnia racionum nomina avia
Euclidem occurrune; sed quaedam eorum praecipua. Cum 1a-
man hujulmodi passim axud Machemaricos recenciores occur-
ranc racionum nomina; nequis de illis taer eac, exponenda duxi.
Sicuivero nimis inericatae rideantur tae racionum appella-
ciones; pocerunc illa simplicius designari per duos numeros
cd qua res pottulet racione contticuros, praelertim qui Cune in
eadem racione minimas. Pura (, pro rotione (ubquadrurla- (u-
pereriparcience leptimas, cam dicamus racionem qua cA 7 ad
31. Ica, qui dicic, sic A ad B, uc 7 ad 3r, tancundem innuic 2c (
diceret, Sic racio quancicacis A ad quancitacem B, Cubquadru-
pla Cupereriparciens sepcimas Acque ad hanc formam rario.
nes laepislime exponi Colent.
Raciones icaqi pluribus modis designari possune. Nempe
Vel, nominibus luis, modo indicaris. Uc Duplum, Priplum, Destenatio.
Dimidium, Selguialcerum. _C.
Vel quidem, l’iguris numericis rationes illas denominanci-
bus: affira lalcem, vel quidem subincellecta, mulciplicarionis
nOC2. PUTA, 2,3. 2, 7Z, _C velX 2, X3, X Z, XF =, _C. Ouid
enim eAt Duplum, Triplum, Dimidium, Sclquialcerum, _C. a-
lind quam, Mulciplicacum in 23 33 3, 1 Z_C.
Vel etiam, per duosnumeros in ea racione consticmros: Puta,
Ratio ea quae cA 2. ad 2; 32d 1, 5 ad 1, rel 1 2d 2; 2Z24 1,
vel 3ad 2, _C.
Vel quidem, duabus quibusris quancicacibus homogeneis in
consticuris; uc lineis, planie, Colidis, angulis, _C. Cquorum ad
inric mracio exponicur ue jam cognica, vel quale coenira,)
corumvelymbolis. Puca, uc V ad A; uc L. ad MI; uc R ad S. _C.
2
v
R
Vdlicem, Braction im insar 2, 2. 2, Z, R3 M S _C.
Cum enins Racionum denominacores nil aliud sic quam Divi-
Tomura
Rarionum