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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 464, page id 851387705:0484
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AlsetmLcea LcoP. CC
In Perie Octara (Ere parium quarta) distribuencta cst quaelibet
racio item in binas, sed quarum ulraque eAt ex ternis compolica, sic.
ec.
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464
Nempe, dirita prius, qualibet ratione in senas, (puta
3X4 X5 X 6x7 x8
2 X 3X 4X5X6X 7
5 X 6 X 7 X 8XO
324Z5 26x7 ~8, _C.) quae postea di
Ctribuendae lunt alternatim in duas clases.
Et similiter in serie Decima, Duodecima, etc. diridenda quaelibet.
racio in Octonasu Denasu ec. qua alternarim distribuenda sunc in dua5
ClasTeS.
(In serie aurem Secunda (sive parium Prima) nulla rationum divi-
sione opusest, sedcum omnes lint eadem aequalicaris ratio, (ire L: ca-
dem illa est eubique intervonendta, nam +x + = +.)
Verum si in sericbus Imparibus illud aegrediamur; nempe ut quaeli-
bec racio in duas (aequabilites progr ediendo) distribuatur; res non
ita feliciter succedit.
Nam (verbi eratia) cum (ex analosia reliquarum) rationes seriei Oninex
diridendae essent in ternas, Sepcimae in quinas, ec. (numero semper impares,)
non porest tieri ilta aequabilis earum diltributio in duas cclastes quiae ad debitam
interpolationem requiritur.
 FSECII:
Fota propolitio (inspecta Tabella) Patis per se patet animadrertenti.
Res aliquanco clarius torcasse parebit ubi serierum aliquoc rariones in bia5, Ter
nas, quaternas, ecc. ( prouc lexies quaelibe pottulat) dirilero. empe
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