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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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De Fractionum Reductionibus variis. C AP. 443
rem communem, exponipolsune. Vix enim aliud ad hoc tan
etu opus eH, quam uE pro Denominatoris voce Cubsticuacur Nume-
raioris, e concra. SRe Fractiones =, 4, aquipollenchilce 3, +.
Icem tractionibus 2, 43 33 aquipolleNE 12, 23, 5. Pc tra-
ohc
abc
abc
ctionibus a d B = 2 equipollent a bc BaC y ab
Sictractio Z, ad aliam reducenda gua numeracorem habeae,
c, eri
Ec Gc alibi.
De Fractionum Fractionibus, sive minuciarum minuriis, re-
num fractio ducendis; nonnihil eciam dicendum eAt. Ouippe nonnunquan
tractionem aliquam alterius Fransi concingie; cujus, canguan
Inceori, parces, Minuriae minuciarum, hre fractionum Fractio.
nes dici lolene. Puca crientis semis, vel Bets dodrans, _C; 9u08
sc nocare Colene, 2Z. 43. _c. vel AC, Z Cx 7. Z CX Z. _C.
MalLEM e∞O AC = x Z. 2X Z. _C. (quippe nihil aliud est hu-
julmodi Fractionis Fractio, quam Fractio ex duabus inricem
mulciplicatis composica.) EIci enim Z A vel ZL A, eAt Eemissis
guancicacis R; 8 2 vel 2 = 1, Cemillis unius inceBrI; Z X 25
lemistis duorum; == 3, Temissis crium: ita ZX Z, est Pemissis
crientis; ZX =, dodeans bessis, Eive eres quarea duarum cercia
RUM: XC.
Acque hinc Racim paret mechodus, ejulmodi fractiones
composiras ad simplices reducendi. Nempe mulciplicatione
Tola id peraxieur. Puca dueris invicem Z_ Z, eric (per cradi.
ca in Cuperiore capitC) 2 n = = , 2 - Z. Sic ZX = = Z. _C.
Similicer (i pluries adhue componatur; puca lemis dodrantio
duarum cerciarum, =XZX 3 = 22 = +. Pehc alibi.
Eodem plane modo reducenda est; hujulmodi Fract
ioc cR 43X , Z, CVC 25L , = = 35 = 3. aliaque smiles ub
Numeraror Fractionem adjunctam habet. Ouod etiam Scera-
di DOTTIE: DACTI, CAM RLIMETAEOTE 43, EUM DEnOMINALOTETE,
in communem mulciplicacorem 5, prodibie (immucaca quan.
LICaTC) 35, vel 3.
ec diltimilis erie reductio fractionis hujusmodi scujus DC.
neminatori
Defractio.
nibus redu-
cendis.