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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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DE PROGRESSIONE Cap. XXXIII.
88. Et, Datis termino minimo, progrestionis summa, de numero terminorum;
A, S, T; dacur communis ratio. R. Nam (ut in praeced.) SR - S f A == A R F.
adeoque SR = AR, = 5 - A. FF D  = = R = R.. Cujus aequationis radix
clt R, qua (Ica.
89. EFdaris ratione communi, numero terminorum, e summa progrectionis;
B, P, S; datur terminus minimus. A. Cum enim (uc in praced.) SR - 5 f A
= A R.. adeoque SR =S = A R = A. Erit A =
R 5
R -
B. -= F R = 2
90. Pari modo; Dato termino maximo, cum ratione communi, de numerO
terminorum; V, R, P; datur lumma prosressionis. S. NaM per PF. 20. A = (4) V.
ErBO per Pr. 68. 5 - VR = A V R = RO) V VB. =
R.
+
R = RA
OT. FL; Dato cermino maximo, cum ratione communi, et progrectionis (umma;
V, R, S; datur numerus terminorum. T. NAM Per pr. 85. A = V R F S =SR;
adeoque Per pr. 16. Y R f S -SR =  =Rd. Ouaerendum itaque quora po-
teltas exponentis data rationis R, aequatur data quantitari. Ouippe iltius poresta-
tis incex unicare auctus, eAt quaelitus numerus terminorum I =-D.  X.
D2. FL; Dacis termino maximo, proerestionis summa, ee numero terminorum;
V, S, F; dacur communis racio. R. F.A enim, ver pr. 90. 5 -  R - - 1
que SR = SRd = V R. - V, e V =SRA -SR + Y R, e
R. = R43 2de0.
S-Y R
=RC. Cujus A quationis radix R, est exponens communis rationis quxlirx.
93. FF; Daris ratione communi, numero terminorum, ee progrecsionis summa;
B, F, S; datur terminus maximus. V. P.C enim, (uE in PrXced.) SRF -. SRd
=VR. =V. RrG SRC =SRd
RC
94. POrrO; (ut compencio uac,) Datis A, Y, S; datur Y. Nam, per Pr. 78.
Y = R. EI Per Pr. 26 7 = Rd. Ouarendum itaque, quota potestas R cogni.
ta aequatur coenia Rd. ut tabeatur D = F - - 2, adeoque D F L = T.
35. Idem habetur, A PrO A, V, darentur A, H. Nam habetur R, PCr PP. 79.
EF P uC prius.
96. Vel A, 7. Nam Babetur R, per pr. 80. et Y, ut prius.
97. Vel V, H. Nam habetur R, per pr. 8T. _e F, uc prius.
38. Vet V, X. Nempe R, Der Pr. 82. _ T, ut Prius.
99. Vel denique I, 7. Nempe R, Per PF. 83. EF T, ue prius.
200. Datis A, V, Y, datur S. Nam BCF Pr. 17. habetur R = YA Y. ENBO BEC
Pr. 68. Y vav
Ya
=e
= S. AFBL. IC.
TOL. Idem habetur, si, PrO A, V, darentur A, I. Nempe
25. Nam A) HCV. EE A J u (.
202. Vet A, L. Nempe a A V y: = B
203. Vet V, H. Nempe
BC V) H (A.
204. Vet V, Z. Nempe
VaV
1d: V) V2
Yd: 1) V2:-
s
N
2
=5.
Sev. a)B.A
Ya: N) H: - +
= 3. Hal V) V (4
=S. Nam X A = V.
Nam Z) V CA.
205. Vet