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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 244, page id 826603459:0290
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De Progressione Arithmetiea.
CAP. 27
richmetice. Puta A, MI; NV, V. Cum enim, per prOP. 30, B
ALV = Z =M F I, eric 4Z . 25.
An Dacisisitue, in Prichmetica progrestione concinum, ex
cremorum ageresato _ terminorum numero; Z, T; habetur
corius progressionis hire terminorum omnium Cumma. S. nema
De T~ = 25, Der PrOP. 43. FFBO 2 So
48 Et Dato exrremorum aspregaco, cum procrestionis
Lumma; Z, S; habetur numerus cerminorum. T. Nam quia
2S = TZ, eriE Z = T.
43 PE DaTO cerminOruM nUmETO, CUm prOgressiOnIS
Tummas T, S; datur item excremorum axgregacum. Z. Nam
quia 25 =TZ 3 Crit F = 2.
50 Dacis terminorum numero, progrettionis lumma, e ter-
minominimo; T, S, A; habetur maximus. V. P. A enim per p. 19,
E
F = Z = A + V. ErGO F = A = Z m R =- V.
SE Dacis iildem; dacur excremorum differentia. X. Nam
per praccd. F = A = V. ErBO  = ZA(= Z  2A)
V i A = X.
52 Dacisnumero cerminorum, propressionis lumma, de cer
ino maximo; T,S, V, habetur item minimus. A. Cum enim
DeTPF. 49. F =Z = A F V, erit F = V = A,
53 Datisiisdem; datur extremorum differencia. X, NTam
pervexced. F  V = A. ErBO V in F + V = 2V -
S
C = 2Y i 2) = V A = X