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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)
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De Proeressione Prichmerica.
CAP 27
30 Similicer in quacuor terminis Arichmeticae progressionis
INEETFUPER. NEMPC AGGTEGATLIM EXTreMOruM Requacur aBETC
sato mediorum. Puta A, M; N, V. Cum enim, PrOPECE
communem ucrobiqs excessum, sIE MI L A = V = N = E,
ideoque A + F. =M, &e N ZF = V, hoc est V = P =N;
exit M F. N = A + P + V - F =-A + V, Vet, exPOSIEISV, N3
MB, R. quoniam V = N =-M L A = B,
ideoque V = F =N, _M nn F = - A.
hoc est M = A F R; exit NV + M = V 
E F A + C = A + V.
M = AFF
-
M F N = A +
32 Ergo, Onatmor terminorum Rrichmetice (ue loquun
cur) proxorcionalium, dacis cribus quibuslibee dacur de reli-
quus. Cum enim exposicis A, M; NI, V. SC per praeced. A + V
M FN; erit (sequalibus verinque subductis) A = M L N
un V, V =M + N  A, H = A + V in NI, AV = A + V  M.
F
I
I, N
a, N, V. C
Da, N, V
M, N V V
M + N L A
E ) N = A FV L M.
DM = A + V
NV
A = MFN in V
32 Ex cribus aurem in Rrichmetica progressione continua
constituris, Aggregatum excremorum
aequatur duplo medii. Ouippe ter-
minus medius, eodem excelsu luperat
excremorum unum, iquo ab alcero lu-
DETAEUT. PUTA A, M, V s. quoni-
am cA M = A = V - M - F, Are A + F =M -V C
CriEM F N. = 2N = A +. V
33 Erxo, ex tribus cerminis concinue progrediencibus a
richmerice, daris duobus quibutris dacur d reliquus. Cum e
nim, PEF PraeCCd. SIE 2M == A + V; erit 2 M  A = V, 21
la
+ L
+V
Lab