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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
# Folio 374, page id 851708439:0398
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A L G F. B K A.
Nam P primus terminus, concinue mulciplicatus per -
 R  X 
Xi tacit
 + p + peo + po t sos +
13
pro c.
 facie
Numerique inde facti concinua mulciplicatione subleriptorum,
4 6 8 20 22 ec.
(Ubi Fractionum Numeratores concinue decreseunt per 2; de Denominatores
crefeumE per 2;) TunE
2 +
=25 + 105 -945
2 8 18 384 3845 46080 ec.
Oui respectire ducti in eas continue proporrionalium series, (primus terminus
in prinum, secundus in secundum, eec.) Faciunt in priore serie, qua respicit
DE in Elliple,
R
24 8 R
30
75C8
705610
+8R 384R 384OR 40000 dec.
In posteriore rero, quae respieit DF in Hyperbola,
R, FE
366
250, 205∞10
945 c2
24 BR  4BR 38+ R1  384 N 46080 _1v dc.
Oux series eadem ipsae sunt quas prius habuimus, nisi quod illic tractiones ali.
quor abbreriaix fuerint, sed eodem ralore.
Eu contequentes, earum disserentiae; hoc el, rectae FHI (= F P F P FT) in
figura sequence, Tune
duplae ipsarum CC f 35 105 c
Hoc est
2_ 48R 3840R ec.
L 35, 105Ct
Vet (abbreviando scactiones, E P. +
 BF  128 B + dcc
EE Trilineum EBF (= F BP + HBP) = 5C + .C) + nos C. + c.
EE Trilineum ABH, = 3 F ,5 F b F etc.
Ouxe omnia apprime congruunt duarum tarum Figurarum naturis. Ouippe
inter Fyperbolam e Flliplin, haec est praecipua ditterentia; quod quatuor Hy.
atuT, (nec nisi in infinitum continuatae cen-
sendx sunE OCCurrerC; quaeque cum sibi proxima, _ UITagUE CUM AIYMPIOTa:)
Sed quatuor areus Circuli Fllipseotre
nceS, Sient ad eoldem pertinent guacuor FTyperbolae conjugata,) intrortum
Hectuntur, _ se UTO CONTINUANE. ETinc FIc, quod harum Acurarum aftectio.
nes, sunc uc plurimum exdem; nisi quod, ubi disterunem in alcera + habetur,
it
Cap. XCI
945512