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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 473, page id 851387705:0493
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ProD. C.XC.I.
Terria, A X = ~ C X
Ouarta, AX
Ouinea, AX
IN FTNLTORUM
x= X
TI
10 12 14
ecc.
BC CD DE EF FC GH, HI
2X 4 4X6 6XB BKTO TOKTZ T2XI4 L4XZS
DCD CDE DEF EFC FCH GHF
Enguo quonB SIBRTO BHTONIZ TONLZKTA TEXTANIS
c
c
Fx sic in exeteris: (ubi tamen incelligendum est A non eandem esse ubique quari.
citarem, sed in serie prima A = c vel Porius ∞ B, in secunda A = L = ∞ BX C, in
terria A = 3B = L X. 7, in quarea A = 5 = = BXF, in quinta A = 50 = 3 X. Z
2XZC =EXBF. Fc sic deinceps. Nam series prima crecta, eadem est cum prima
trantrerla; (ue supra liquet.) Poltunt illa, per aequipollentiam modo demonstra.
tam, sic extriberi, uc non nili uno aliquo numerorum horum incerminabilium
opus sic in lingulis exprimendis; ec Caepe quidem ne uno. P. xempli gracia, In serie
quinta, ratio secunda
CDE.
36F 64C 4u 16 C 12 3F
quond quone quone
8ec.
hac igicur ratione, quolibet modorum illorum designata, ducta in iltius seriei cer-
minum secundum E, C in rabella nostra repertum) haberur rerminus cerrius,
16
6 c
Fertius aucem hic cerminus, ductus in rationem seguentem
DEF 64F 10OD
900B 15 I5B 15 5D
CrBKIO SRBKIO 6XBKLO 1920 81 32
2C.
40
F
c.
exhibebit ejusdem seriei cerminum quartum 2. = 23, eundem nempe quem exti:
bec Tabella. (Sed ee idem terminus pariter extribebitur ex ductu secundi cermini
T, in rationem ex secunda De tertia compostam.) Atque ad hunc modum licebit
Tingulos cabella nostrae terminos indicare, adhibito nonnunquam uno quoris,
Tapius aurem ne uno quidem, numerorum istorum interminabilium; quorum qui-
dem nos primum, hac
e
Fst isicur racio Circuli ad Ouacracum Diametri, (per jam dieta) a P d. d
:: r. 0 = 4-
DF
225 256
Sa 16F 256 ec. Ertimilicer (cum sic racio
perimetri ad diamerrum quactrupla racionis circuli ad quadratum, quia nempe
pd. 42:: = p. d.) racio perimeiri ad diametrum p. d:: 4. O: ee diametri ad pe.
rimetrum d. P:: D. 4::
:: 2. 4 = B =
c
+D 256 64F 1024
225
Nempe sD: sic Circulus ad Ouadratum Diametri.
uE T ad E B: Sic Circuli Diameter ad Perimetrum.
256
Rc
Superest, ue rationem octendam cur in altignando ratorem quantitatis B, supe.
rius dixerim, pro tractionis continue tracta denominacore ulrimo (ubicunque si
Stendum quis relit) ponendum este, non 2, Sed vel, 3, 5, 7, 9, Scc. PrOut LOCS
ubi contisticur postularerie, (quod non cum necestitaris, quam perspicuicatis cauta
factum elt.) Oux quidem ratio, haec est.
Cum supponatur (juxta jam tradtita) DXB = 2 = 4. LiiquE D = + 39 e
B = 363. Adeoque si numerum 4. = 9 2 dividamus per B (factorem polterio.
rem) Prodibit D. Si quancitas B impertecte sumatur, non prodibie ipla quanciras
O, sed alia quae major sic vel minor, prout Bimpertecte Tumpta, sit ipsa B acCu-
rate, minor vel major. Nempe si pro diritore B luumacur 3, divisione facta, pro
Oprodibic L5: ( pro dirisore 35. prodibit L33: H358, prodibic L 2 323. Ft Sic
deinceps: ut ex ipso calculo patebit.
Et lic in B = 35a) C. = 5 to2 D = 7 1  _C. Facienctum eric Nempe in B,
000
denomi.