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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 301, page id 826603459:0347
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.87
# 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. 33.
De Proeressione Geometrica.
R. Nam Per PFOP. 3F. HabetUE X = Z ErBO Dex PP. 17.
R =- V d Z
N2T.
60Dacis termino maximo, numero terminorum, ee com.
muniratione; V, T, R; dacur rectangulorum aggregatum.
Z NTaM PErPFOD. 2O. A = = Rd) V. LFGO PET PFOD. 47.
TVA =- Z = -R d) TV.
6r. Daris cermino maximo, numero cerminorum, et re-
Crangulorum ageTCPACO V, T, Z; datur communis raFD. R,
Nam, Per PFOP. 53.  =Z) V =T. EEGODETPFOD. 17. R-
dV 27
62 Datisnumero cerminorum, ratione communi, e Rectan-
sulorum aBBreSATO; T, R, Z; dacur cerminus minimus. A.
ETaM PCF PF. 16. Z = Rd. EL PCFPC. 49. T) Z L H. Er9O
Per PF. 54. TRd) Z = Z)H = A. Ideogue A = V TB4.
63 Darisii(dem; datur cerminus maximus. V. Nam per 1C
_ 48 habencur _ M, uE prIUB. EFGOPer5S. V =Y:HX 3
bRd
64 Datistermino minimo, ratione communi, de rectangulon
rum aegregato; A, R, L: invenicur terminorum numerus l.
Nam per pr. 45. Z = TH. adeoque A)Z = TV. Icem per
Pr. 19. V = ARd. adcog: (cum sC D L L L T) CrICRV =
ARKA L ARC. RERVI I TARC L A)ZR. Cquia nempe
A) Z = TV.) IdCOGHETRE = A=)ZR. Ouarendumisitur,
gnoca pocettas dacae racionis communis R, duera in Cuum in-
dicem live exponentem poreltacis, aequabitur quancicati daca
A =) ZR. quippe pocellaris iltius index sire exponens eAt I.
numerus cerminorum.
65 lildem dacis; repericur cerminus maximus. V. nam per
praeced. habecur T. adeoque V per PE. 19.
66 Datis cermino maximo, racione communi, et rectanon-
lorum ageregaEO; V, R, Z; invenicurnumerus terminorum, Y.
Est enim per pr. 45. 2 =THI. ad eoque V) Z LTA. Icem
DEFPT. ZO. A i Rd) V, adcOque R) A  RC) V. EER) AT =
RE