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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 387, page id 826603459:0433
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C AP. 44. De Fractionum Reductionibus variis.
Item 5. 2:: 20. 4.) SicFractio 3, ad denominatorem bc
2C
abc
reducta, erit vc. COuia b. a : : Bc. b = ac.) e Fra
ac
etio xc3 ad denominarorem b reducta, erie p. C quin
ac
B5, ac: : b. BC = 4.) Ec sc ubique.
Reque hujus reductionis magna eRucilItaS, (ac alibi, AC) in
Partibus expolicis alicujus incceri, ad parces nobis nociores, vel
ulicaciores, reducendis. Pxsempli gracia; s exponatur ? Solidi
Anslicani; e lcire relim, quoc ea tractio ralcac nummos De.
narios dictos, sive parces duodccimas. Reducenda quipre crit
expolica Fractio Z; ad aequalem aliam qua denominacorem
habear 12. Adeoque (quia 3. 2:: 12. 8.) invenio 3, bel-
Tem, sire duoscriences, camcundem valere alque . 2, octo duo
decimas, hoc est, octo denarios.
Verum hic incelligendum eR; non posse ica semper ad dacum
denominacorem reduci tractio data, quod pro quefito Deno-
minatcore emerger nonnunquam vel tractio vel numerus mictus.
adeoque non possic Fractione simplici, quae dacum habeac deno-,
minacorem, dara Fractio delignari, led tractione compolica opus
cric. Pura li fraccionem 5, ad parces duodecimas reducere ve-
lim; (hoc cA, ad tractionem aequalem, cujus dericminator
sc 12) quoniam cA 5. 2: : 12. 25 = 4 5 quasica Cractio cl.
Tec 12 Hoc eA, 4 duodecime, acque incuper 5 unius duode.
cimxe. Adeoque, verbi gracia, 3 Tolidi Anelicani, ralebic de.
narios Anglicanos 4 Z; hoc ek quaruor denarios, acqi inluper
denominacorem habeatc, erit
B) ac
c
Oux aurem jam eradtica lunc de Fractionis ad dacum Deno. meraiorem,
minacorem reductione; vel criam plurium Fractiorum rectss etio. 21 Numer-
ne ad Denominatorem communem: Eadem non disticulcer de ierem cimmu
reductionibus ad Numeracorem dacum, aique ad num: raTO- NCN:-
 C C
ELM
Fruetioni
reunctio ad
darum NH-