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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 372, page id 826603459:0418
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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communis
e nomnato
73
De Practionum Additione es Subductione. C AP. 42.
rum ad dupla, criplorum ad rripla, _c. eadem cA rario qua
simplorum ad simpla;) dum novus incerim emersens Denomi-
nator, sicuerique communis, (quippe qui fic ex dorarum De-
pominacoribus inricem ductis.) Sic in modo exh bLIS, Ze =5
E prioris ucerque terminus ducacur in 4, hec 1= = =; ICem,
E Posterioris terminus urerque ducacur in 3, Hec 12 = 2; 2-
 12 = = = 4. Sic, PrOZ_ 3, vel = _ 55
lubdimendum eA 23 = = = 3, _ 3: adeoque 23 + ==
3F 5. Ec hc ubique.
Peparicer in Symbolis: pro expoliris B d B; substieuantur
AB Ba
AB
Ba
BB d BB. Eritquecum BB B, cum BB B, cum
AB
+
Ba A
denique BB  BB
+
a. que eadem plane mechodo utendum est, ( pluros quorcun-
que Fractiones ocegrrant ad communem Denominatorem re-
ducendx. Nempe singularum cum Numeratorem cum DenO-
minacorem in religuarum omnium Denominacores concinue
malciplicando. Sic =, 3, 3, reducuntur ad 33, 28
AX3X5 = 15, _ 2X 8Z5 =-30, adeoque = = =: TLeM
2 X BX G = 20, _ 3 n 225 = 30, adcoque 3 =38: Denique
D X 2 X 3 = 12, _ 5 X 2X 3 = 30, adcoquC : = 53. FCPPOD-
cerea junctim EF 5 L 5 = 35 +30 4 50. EC Paricer in Sym-
aB7S ba2 s
Bolis Pro à 3 B 3 d si Tubsticuamue a By s Bay st
caBs daBy.
2aB5S aβ quae cum expohitis sune sixillatim aquales,
cum invicem cognomines; (nam denominatores aβy 5.
Ba75, y aβS, S aB7, Cunc invicem aequales, quippe ex iil-
dem factoribus compolici; alcernacio enim suuis aequalicatem
non immutac, cum in continuis mulciplicationibus perinde
omnino cA quo ordine hane, uc luperius suo loco. cradicum
CHt.) sec paricer alibi.
Acincerim rerum est (neque id vel dissimulandum rel igno-
ris diminu. randum)minorem nonnunquam Denominatorem communem
Ib.
allumi posse quam qui hoc pacto ex datorum Denominatorum
omnium