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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 385, page id 826603459:0431
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C AP. 44.
De Fractionum Reductionibus variis.
ab + B 2 aC  BC
at b. Icem
C s
a + b
b+C (Facta urrobiqs
diritione per B. c.) Ec similicer it aliis. F. Aque haec Fractionu
ad minimos cerminoz reducio, ad Faciliore valoris aRlimationé
apprime ucilis. Bequis enim non facilius inceliigie d mence
concipic Fractionem sire rationem Z, vel + ad 2; quam 13369
vel 783 ad 1566: Adeoque cum Fractiones tum Rationes
commodius exprimuncur (caeteris paribus) in minoribus quam
in majo ibus terminis; _ proxterca, (nili quid speciocim ali-
quando alcioris momenti impediac,) ad cerminos minimosre.
ducenda.
eorem redactio, (qua quam ad Addicionem ee Subductionem
Fractionum
necessaria sic, jam Cuxra dictum cA,) ostenditur Cap. XLIF. recuctio ad
Nempe denominaroribus omnibus continue ductis, habetur
communis Denominacor; cui conveniane Numeratores, ex nun
meracorum expolicorum lingulis, in reliquorum omnium de- rem.
nominatores concinue ductis, CmErBENCCS. Puta,
eB7 ba7 caB
SIc reducrX, AunE aBY aBY aβy
ducuncur ad 26, 23 2
Item 23 435, re-
lalcem sliquem, led ad minimum communem denominaco.
rem, reducendae sine exposux quoclibet Fractiones: Habetur
communis ille denominator, li dacorum denominacorum illi
omnes qui communem aliquam menturam paciuncur, per illam
dividancur, e, pro iptis denominacoribus, QuOTiCNEES ex ca
diritione emersences asumancur; uc cx horum quociencum,
reliquorum que liqui lunc denominarorum, iptiusque commu
nis diviloris maximi (auc eriam maximorum omnium, si plu-
res tiane comparaciones,) concinua mulciplicacione habeatur
communis denominator minimus: (ad quem quarendi Nu
meratores consrui, modo mox octendendo.) Sic in modo ex.
Polis, 2, 4, 5; quin 2e 4 communem paciuncur divilorem
; Ucerque Der 2 diridatur 2) 2 (1, 2) 4 (2; _ quocien.
ces ea dirilione emersentes, 1, 2, cum certio denominatores,
iploque communi dirilore 2, cominue mulciplicaci, extribene
AiNIUM COIUNEM dENOMIMALOREM L XZ XGX 2 =-20.
l
Berominato
communem