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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 105, page id 826603459:0153
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=153
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.78
# 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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# After the first blank line: the recognised lines in reading order, one per line.

C A P. 15.
Aleebrica e Spectosa
205
Elis explicacis exlempla sequencia non difficulcer percipiescur.
PX F3∞ - 228 4 320.5
autex. +2 ∞ - 128 = 225, + 3
retac. = 1X = 125 +5 2 = 8
vel
3AC - 2A9 + 3A-15
2AC A9ua 2A + 3
Ac A9+GA-8
vel
3C  20Y 3R r 5
2 C n FO  2R 4 3
LC  +O + 5R  8
32 = 2225 3a - 5
22 = d on 2a + 3
a a + 5a-a 8
30aa - 2aa + 32 - 5
2222- 28 ma 2 d + 3
aad ad F 52 un B
Nempe, A ex 3 ~ auterantur 2 ∞, manebie F ∞; quio
3 in 2 = 1. Icem, B Cx _ 22g auFcraWUS = 1ZZ, manebie
 223; quoniam, E abi decrune quadraca 2, auteratur vel
suppleacur detectus unius, hoc est, recticuacur r, 1 decrit adhuc
quadracum unum sire x28. Icem, ( Cx 3 R autcramUS = 2H
superlone tsR; nempeti ubi adsune z radices, rectiruancur
adhuc 2 radices, aderunt omminos radicer. Denig: ( cx - y
auterantur + 3 reliduum eric - 8: nempe cum jam desnes.
Si adhuc auferancur 3, decrunc omnino 8. Si igitur rehdua iAtac
omnia parricularia in unum colligantur, cric illud I ~ -a 1 78
52-
8
Similicer in exlemplis (ub lequentibus. Si ex A Y. 2B - 3C
F D. auterancur, 2B - 2D + F, manebic A  3C. F3D in Eo
Ec paricer in aliis-
A + 2 B - 3C + D
F2B
= 2D + F
i 3C 43D F
323 +322-122= 2
2 d3 + 323 + 22 - 10
+22
sun 42 + 8
Ouod S SupPONamUS A, B, C, D, E, SgnIECArE L, 2,3,495.
Ec a, 22, 23, Significore 2, 4, 8. cancundem valchuncilla acq
R2C.
X + 4-
 = O m 9+ 13
ige
16 + 12 + 4 an 1O - 22
8 un 0 in 8 + 8 =8
ealis