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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)
# Folio 462, page id 851387705:0482
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ARLPAMETICA PFOD. CLXXXIX.
Probabitur haec ex praecederite. Vel etiam (ut praecedens) ex analosia pro.
grectionis Arichmerica. Ec quidem induetione comprobarur in locis omnibus re-
Pleris; ue non sic dubium quin idem de racuis eciam judicandum (IE.
Si quis autem haelitac de imparibus seriei prima, (quos aio tieri ex concinua
mulciplicatione numeTOTUM a x OX2 X 4. X6X8 _c.
TKZKGX7KO _C.) nempe, neo ciphra quae iltie
conspicitur, coram comrinuam mulciplicationem, quantacunque fuerie, penicus de-
Pruae faciarque omnes iltius Teriei terminos cranelcere in o ciptrram (eu Nihil:
Sciendum elt, inde huic malo cautum esse quod cerminus A in ista serie sic ∞ In-
tinitum, (proue superius oltendimus in Scholiis ad prov. 266.) adeoque nili se.
queretur o (ad iplius o rires minuendas) excrevilsent omnes illius seriei ter-
mini in ∞ Intinitum. Sed corum alcerum alcerius malo medetur commode.
Ouamris enim co x0 non aliquem decerminare numerum designet, (de propterea
nihil inde certi de religuis quantiratibus concludi postic,) porest tamen quali vir-
tualicer cujusris numeri vices Tubire. Nlam quicunque numerus per a diridatur,
quotientem dabie o, et contra. Puta ∞) T(0. d) F (0. ∞) 2 (0. 0) 2(c0.
)3(0. 0) 3 (∞. EF Ec de quoris alic: Et propterea (cum Divison in Quocientem
ductus restituere debeat numerum Dividendum) ellet ∞ xO = F, rel ∞ X9 = 2,
vel ∞20 = 3; Et lic de quoris alio rumero.
EROP. CLXXXIX.
Theorema.
  sequitur, quod Si ex Fabella prop. 284. locis racuIS unuS
LL quilibet numeronoco suxpleatur, erume ex reliqui omnes cogniti.
Verbi gracia; si numerus hac nora D designacus supponatur cognius, religui
omnes etiam cognolcentur; qui nempe eam habent ad illum rationem quae tic
Tubcus indicacur.
35
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