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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 Geometrica.
CAP. 33
84. Icem, datio cerminominimo, rarione communi, d
cerminorum omnium fOmma; A, R, S; dacur maximus. V.
Nam (uc in PrOP. 7B.) SR = S = VR in A. FFBO SR - S +
A= YR, _ dR n S + A u Y
R
85. Ec, datis termino maximo, rarione communi, _ termi-
norum omnie Cumma; V, R, S; dacur minimus. A. Cum enim
(ut in Praeced.) SR = S + A = V R; eric (cransponendo)
V Rm S R +S = A.
86. Icem, datis cermino minimo, ratione communi, d
terminorum numero; A, R, T; dacur cerminorum omnium
Lumma. S. NaM, DCFPF. 19. V = A Rd, _V R = ARE; Fr8O
DeF PFOP. 68. S -- R A ARC- A
R - I R = 1.
87. EC, datis cermino minimo, racione communi, et pro.
Grestionis Camma; A, R, SS dACUIENUMCTUS CCTMINONUIM. T. P. P
enim (uF in PCOp. 8 4.) SR = S + A =-VR =ARF (PCr P. 19, )
Adeoque SR = S+ A =Rc. Ouarendum ixitur quota PO-
cestas racionis communis R, aequatur quancitaci coeniex
SR = 5 + A.
88 EC, Datis cermino minimo, progrestionis summa, et numen
ra Terminorum; A, S, T; dacur communis racio. R. Nam
(vC in Praeced. ) SR S + A = ARC. adcoque SR n
ARE =S A. EF S- A S R  RC. Cujus aequacionis ra
dix est R, communis ratio quaesica.
89 FF datis Ratione communi, numero terminorum, et (um-
maprogrectionis; R, T, S; dacurrerminus minimus. A. Cum
enim C uc in praccd.) SR i S+ A = A Rc. ad c09; SR = d
SR  5
R 
=ARE L A. ENIE A = RC = L RCL 15.
90 Pari modo; Daco cermino maximo, cum ratione comunis
e numero cerminorum; V, R, T; dacur Cumma progrectionisa
VRa
S. NaM PCE PF. 2O A = Ra) V. ErBO Pex PT. 68. S= R  1
VE L RO)V VHC = V
Rc mn Rd
de