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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 124, page id 851708439:0148
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124
A L C F B R A.
id P. L 1.
X = A = F = 2A - Z = Z
RF. =S
Ag - A. AE = F q RA = SA
B
E.9 =
B- A9 = A9
A. = =Z9.
:=
∞ = A9.
E
4
2L.4 F 2 LG 2C
A = AGE F AF9. Z A = A gF = AFg
A9 = Z A = _. = = A + _. = ; 2 A +; XA = 9: Z - E: = 9: F. +. X:
Eq = ZF - A, = A = ZF = ZZ F. = =ZF =O: Z = A: = O: A - Z.
2Z. F + 3XL
EL. F22: 3X
9 = 2 2 E. = 2 X A = X9
AC = AC = 344C F3AC4 = F C= ∞ = 3X A.
(Onde exo alibi deduco mechoctum meam resolvendi Cubicas aequationes.)
XT + BX = 2 8
L = ∞ R = 2C d. XZ = BX = 2X A.
Aliaeque muliae, ibidem et alibi, apud eum conspiciendae.
Ad hanc Formam (in Clavis TuX Cap. F9. Fditionis prima) exponit (inter
alia) cum Inventionem cum Demonstrationem primorum Decem propolitionum
lib. 2. Elementorum (quarum magnus usus est in Opcrationibus Analyricis) per
audum tere cerminorum multiplicationem.
EC2. Si 2 = A f F + F, eric ZB = BA f BE L BF. Ouod pacebie mul-
riplicando ucrumque cerminorum in B, et similiter fere in propolitionibus se.
quencitus.
2C2. Si Z = A L E, erit Z9 = Z A L Z E.
3C2. Si Z = A - f F, CrIE Z A = A g F AE, _ ZE = AF f F g.
C2. Si Z = A F F, erit Z 9 = A g f F 9 f 2AF = Z + 2AF. Oux
est Regula Ouadrarionis lacerum criam irracionatium.
5 C2. Si recta biseCeTUE _ seCUS (Z = 25 = A f F) Ouadratum Bisegmenti
minus Rectangulo sub segmentis inaqualibus (Sq = AF) aequatur Ouadrato In.
terlesmenti, seu semiditterencia sesmentorum inaequalium. (9: 5= L: =
. 5:=
X.) Hoc est B Z. = A F E, dt X = A = F, exir a L. 4 = a X9
= A E, ∞ aT. 4 - A E = = X9. NTam.
X9 = Z A = Ag = Z F = E 4 = A9 = ZA = F. q + X F
LA - =X
g. FE. g = Z 9- 2A. = 2A. + Xg = ZC + XA = Z A = XF = 2:
e A
X9= E A = Z F =(XA + XC = Z A F XF. =2 A = X A + 2. A
LC= AC F Z A gF F 3A F 9 F FC = 7 + 3Z. A
Z A. = ACF F AF. C. X A = ACF = AFC.
s. = Z A = AC f AGF + AF. 9 F FC.
X =  = R A = AC = AGF f AF g - F C
∞Z = ∞7 f X A = AC F AgF - AF 9 --FC
XX=  - Z A = AC = AGF - AF q F F c.
L AX 2e
-
=2 XF
LG(= Q: A + F
19( 8:1
I
A9. F F. g. L 2 AF
G l.9- 2 a l
4 - X9 = 4 AL.
l.9- +X 9= AF.
L.4 AF = : X9 OEX-9: 3Z F O: A- 52.
texmenri (F 9) plus reclangulo sub cora aucta e auBentO (Z F. f. X in X)
aequatur quactraro bisesmen auctu (= O: F + X:)
6C2. Si recta bilecta (R = 2 F) augCatur (augmentO X,) quadratum Bi-
2. F