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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 20, page id 175906937X:0044
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# Lines: 40 recognised, mean confidence 0.89
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L 2 N C LP L A
DE LOGTSTTOA FRACTTONVH.
Tlandoquidem ex dirisione quanticatum simplicium de com-
Polucarum octenlum est oriri Practiones, sicut in Rrichmeti-
carulsari, quarum operatio ealdem leges sequitur acque nume-
rorum fractorum rulsarium; latis erit, li suppolicis horum regu-
lis, illarum opcrationem exemplis exponaimus.
Tlinc, cum per tractionem quamlibet designetur semper diri-
sionem aliquam esse faciendam, utpote illarum quantitarum, quae
numeratoris ricem gerunt, per quancitates, quae pro denomina-
tore habentur; Facile constat, li numerator denominatori fue-
sic aequolis, tunc per Fractionem illam designari unitatem. IIE
bb ab + bb
Bb ab f 6B. ec similes. TInde Patet, quanam ratione unitas de-
nocari porsic in formam tractionis, cujus denominator sicis, qui
reguirieui.
Duodsrero ab, aa - bb. ecc. in Formam Fractionis delignare
relimus, oportettantum, altumpto ab ec a a -- b b, ec. tanquam
numeratore tractionis, subscribere pro denominatore unitaten,
hoc pacto: = 8 aa - bb
3dc.
POrrO Si quaneiras aliqua, ut a, detgnanda SIE in FOrmam
Fractionis, cujus denominator ea sE, quae praescribitur, uE d, auE
a-L b, _C; Oportet, mulciplicato a per d, aut per a-L b, Scribere
ad
a a + ab
Y. aUE a = b 3 eC.
Non alicer Hc, ( a- ] =G sit redisendum ad Formam unius Fra-
ctionis. Fcenim, mulciplicaro a per denominatorem d, addatur
producto a d numerator a a de lummae ad- L a a subscribatur de-
nominatord, habebiturque 2d + a a
 Sic de= a in Tormam
unius fractionis reductum, Facie
a  A a
 a a + bb
a-b reducatur ad Fractionem, Aec Zaa
Cxterum notandum hic, cum ad dividendum a a per bb, Periba-
cur  pro quorienre; ideo ad hunc quoriencet sive tracdionem
mulciplicandum per dirisorem seu denominatorem bb, pro
PrO