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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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Cap. VI. Kulum.
lorum ditserencix: vel qui cancundem distat a primo quancum illi ab invicem.
Sequicur ex prop. 21. Si enim, verbi sracia, dilt: B - dist: 0 = dilt: s, hoc est, dilt.
B = dist. c f dilt. f; exic (per PrOP. 21.) B = 0 + f 2; erBo B - c + a = )
26. Si isicur primus cerminus sic 0; duorum quorumris differencia est cerminus
ille cujus index sire distancia a primo est il orum indieum ditterenciae aequalis.
Ouoniam hoc calu B - c =- B - c  a = f.
27. Trem, hoc casu, terminus ille, cnjus index agnatur duorum indieum ditte.
rencia, eltmulciplum excestus communis, indiei suo (live duorum illorum indi-
cum disserencix) cognomine. Cum enim indieum ditterencia octendat terminorum
distanciam; licque per prop. 9. ditserencia terminorum, D P (mulciplum excestiis
conomine distancia, sive indicum disterentiae;) eric terminusille, cujus index huie
indicum ditterencia aequacus, icem D P; quippe quae elt cerminorum illorum dit.
ferencia, per praeced.
28. In continua proprectione Ariitmetiea, extremorum aegreguum aequatuT
agereBao duorum quorumvis cerminorum aequaliter ab exFremIS utrinque TCMO.
corum; (Incellige, quorum unus a primo eor abelt gradibus, quoc alter ab ulcimo.)
Nam, Per PrOB. 2. _5; canco unus minimum luperae, quanco alter d maximo de
ticic; propter aequalem verobique diltancia. PULa C = A ] 2F, e 7 =V = 2F;
ergoc + y = A + 2F F V - 2E = A F V. EL lic ubique.
ubi MUCTuS TerMIT CHL IMpar, concingiE) terminus ille biS TumpEIS RequatuE
EXCTEMOTUM aBBTCBATO. Puta expoTILIS a, B, C, d, e : = erit a + e = 26. quia
AOGTCSACUIM exTremOrum aequatur appresato mediorum. Puta A, CL: L, V. Cuu
=Ly 1eC09; = C = H, _M F = A,
hoc estM = A L E; exit N I N - V F + A Y F =
quuntur) proporcionalium, datis cribus quibustibet datur de religuus. Cum enim
expoliis A, M; Y, V. lic, per praeced. A F V =M FN; eric (aqualibus ueringue
subductis) A = M + N = V, V - M + N A, M = A f V - N, N = A f V B.
20. Sin cerminus omnium mediis ab utroque extremo aequalicer diltet, (quoc,
C = a = e = C, DFOPtEE a Qualem HITOBIG, AMCAHCIAI. LacOGuCC F 6 = 4 1 6 -- 21.
30. Similiter in quatmor terminis Arichmetiex progrectionis incerrupEx. Nempe
enim, propter communem uerobique exceltum, sICM = A = V = N = F, ideoque
A ] L = - MI, d N - f. F = V, hoc et V -- F =N; CFIE M.
A
H. = A ] V. Vel expolitis V, N; M, A. quoniam
3F. ErSO, Ouatmor terminorum Arichmerice (ut lo- D
A, BI, N. 
Y = M + N = A
M =
∞ a A
= A + P + V
C) A, L, V.
12.
A  V-
L
M = A f F.
L - A + V
M, L,.
A= A +H 1.
32. Ex cribus aue  A POlettione continua constituris, AEPFC.
satum excremorum aequatur duplo medii. Ouippe terminus
medius, eodem excellu superat extremorum unum, quo ab al.
CerO SUPCTATIT. PUTA A, M, V : -. quoniam elt M = A =
V
H Cn AdCa fC = M = V = C, eric M + M = 2 M
N = A + F
=
1-
2M = a fY
33. L(80, ex tribus terminis concimue progrediencibus Arichmerice datis duo.
bus quibulvis dacur et reliquus. Cum enim, per PraCed. SICZH = A f V; exiC
2M - A = V, 2M - Y = A, N =
Datio