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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 367, page id 851708439:0391
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Cap. XC..
A L G F B R A.
lam ejusque A Symprotas) AB = 2, vet = + AB; et A Badt AD, uE F ad d: Tum
erit, Tumpto D ulera B,
BSFID = d = = a2 + 3a3 - = 42 + 5 43 = 545 + dc.
Velus lumploD clltati
BSAID = a + 342 +34 F 44 + 54 764 F dc.
Prior, elt. Mercacoris teries; Posterior, meq. Ouae Tueric Neruroni, non vidi.
Nam Ordinatae in exteriore Fyperbola ABSHHY (ut ostenderam Arishi. Entinae
prop. 94, 95,) est Series Reciprocarum Arithmeticae proeressionis, Teu Cut loquun-
2d 
 _C. Atque interipta Pa-
rallelogramma ABS, AD FL, _c. inter se aequalia, (quorum quodvis dicatur A B.)
Si itaque sumatur AILitudo AB = A; _ BasiS BS =B, e Bd = d A, (TmPIZ
a pro cali parte ipsius F, qualis est B d ipsius B A. ) Pum exir, Ad = A F d 
(PrOut D Sumitur supra vel. intra B:) de dh --
A+ d A
FF 28 = B in
+ F a + d d = d + a _c. Ouod patet, dividendo L per 2 Z d.
tic consequenter, (I expOna.
cur a Succelsre DeF, O, F, 2, 3,
An Ccc. quarum maxima sIE BD
=D. Tum erune Ordinatae
Bdus
2F4) F (2, L dg Y d d, = a, + a, 8c.
2 + d. L ad = d f _ = d3 + _c.
T F 24 = 44d = 84 - 164 = 324 = ec.
F = 3d = 9dd = 27d = 82d = 243d + dec.
ec. usque ad ulrimam
2F D FDDFB + D F D + _c.
t
_c.
Adeoque (per meam mechodum Intinicorum supra declaratam, seu Propolicio.
nem univertalem inde deductam,) Summa columnae primae (quae est Series ter-
minorum Aqualium, quarum quilibet cAt I, erit tories F; hoc est m (mul-
cicudo cerminorum:) Summa columna secundae (quxe est series Lateralium) est
semiltis coridem maximo aequalium, adeoque : m D: Summa terriae (qua est. qua-
deatorum) eriens coridem maximo aequalium; hoc cst : m D D: Et similiter,
Summa OuarEa, Lm D: Summa OUINtX, =M D: SexIa, SI D3; et sic dein.
ceps. Adeoque omnes Ordinata dh; hoc elt planum BSHD, est
B in m L: m D + : m D D F: m D + : in D. LEm D + ec.
a d F d a d
audd.
IIOc