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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)
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ipSuS DF.
Cap. Cil.
hujus, continua proportione secta.
Duod ibidem demonstratur, ad prop. 25
Flto enim S FP hyperbola incer ACymp
TOtaS AB, AF; Scque DHI ordinata
in exteriore hyperbola ipsI AF Paral.
lela; quae repraesentet Vim imprectam
nondum diminuram, seu lineam cali
tempore deseribendam celeritate quae
huie non minurae Vi respondeat. Sic.
que ordinata BS, = ejusdem. OuX ica.
que cum minor sic quam DFI (mpote
iphus parei aequalis) remorior crit ab
A F. In A B (quam pOnO == F
Sc B d talis ejus pars qualis est BS ipA.
uS DFI. Cumque (ut nocum est) omnia
in exteriore hyperbolâ Parallelogramma, ut A S,
AII, ec. sinE Enter se aequalia; adeoque e0.
ec. rum lacera reciproce proporrionalia: FrBO, ut
Ad = + = = (sumpea Bd a B rertuS A) ad
AB = F; sc BS = = DH, ad dH: quae est
iague = - = iptius DH. Hoc est C quod di-
M
videndo X per m = x parebit) m um
 _c. iptuS DH.
ren d lumacur Bd ulira B: tum, ut Ad
 au AB = E (rel ut m + L ad m; d
n + X
in mn m
22. Sit calis ordinata dh, aut (huie
aequalis in ACymptota) AH, ita di.
vila in Lg MI, N, _c. (rectis ip(I AB
Parallelis, occurrentibus Fyperbolae
ZD G,M, D, _CC.) UtFL, L. M, MN, ec.
Fnc inter se u mne m. dc. Hoc
est, ita continue decrescentes, ut quae
libet anrecedens sic ad conlequenrem
Suam ut X ad, Teu ut m ad F.
2Z. FIOC FEL L LMAnIUE AF, AL.
AN, ec. in cali proportione. Nam
c
G E B R A.
EE. Haec intinita proerestio commode designacur per Ordinatam in exceriore
Hyperbola, uni ACymprorarum parallelam; ejulque membra per respectiva membra
=7 .
um
im n
m
Nc.
Sunro enim A, B, C, D, dec. tales propoxtionales;
Larumque differentix an b, by .
continue proportionalium difteremrix sunt ilem proportionales, et in eadem pro.
Poccione
HlOC