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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 80, page id 826603459:0128
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 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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C AP. 1X.
De Noratione aldebrica.
nibus non se ablolure necessarium ue Methodo Aloebrica (cu
Anaircica procedatur: Hoc camen ucelicacis urcunq; emersiE,
utlolurio semel inveltisaca postic eciam aliis hypochelibus ap.
plicari; nec opus sic pro lingulis quaestionis variacionibus co-
tam opcracionum seriem de noro ordiri. Verbioratia. Si, cx-
ceris ur priusmanentibus, dicamus 3 asses tandem (uveretles el
Cencigicur 8R - 21 = 3: ideoq; SR = 24 _ R = 3. S1
Suveretene 5 asses, cBene BR  25 --5; idc09; 8 R = 26,
_ 3 +. Feparicer Faciendum eric. (i plures aue pauciores alles
superesse dicatur. IIE
BR - 21 =
BF
8 R a 21 =
R
8R  21 -
8R m 27 = TY
Sccundo. Juxca Algebram sive Analyticen Recenciorums
qui non modo pronumeris ignoracis, led e pro numeris dacis,
Aymbola subsicuune, Colucio prorenier magis adhue unirertam
lis. Verbi gracia. Pronumero quaelito CubsicuREur A, pro
binario (quia nempe fit aliquocies numerorum duplicacio) B,
_ d. inde pro cernario (quia nempe 3 aliquoties auteruncur)
C, de deniq; pronumero reliduo (qui hic cA +) D: Prosret
tus exic hujulmodi
BA n C
B9A = BC- c
BCA n BgC _ BC n C - D
Hec autem (ymbola parirer prastabune guaesieum, sive quen
libet Dirorum allacos nummos duplare, criplare, quadruxla-
re, _c. dixeris; (nempe incerprecando B, prO 2, 3, auC 4 _c.)
IEem sIVC EreS, quaruor, auc quinge _c. altes lingulis cradicos,
nempe incerpretando C. dc 3, 4,5, _c.) _ deniqi Eive unum,
duo8, treo, _C. (nemde inrerprecando D, de 1, 2, 3, _c.) al-
ses candem Cuperesle dixeris.
si enim quemlibet deorom nummos duplasse dixeris crie
1= 4, BC =8; Si criplaC dixeris, eric B = 3.