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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 123, page id 851708439:0147
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11112C
qua
ee di
ibdict
Cap. LXVI.
Si vero minor ex iplis DOnatUE L:
A =- F L X
= 2 F F Z
B = 2F. 4 + 2XP + X9
5. Sunt duo numeri (seu magnicudines) quorum major ad minorem, racionem
habet R ad S, EE major ex iplis ponitur A. Ouilnam est minor qua iptorum
Tumma quxe iptorum difserencia ? quod sub ipsis rectangulum ? quae quadratorum
Tumma. Quae quadratorum disterentia.
5A 1
R A. FSA
A9
L le le ti   L
A. =- F. 9 F Z F
∞ = 2XC + X9
2GA4. F ogae
Si vero minor ex ipsis ponatur F:
RF
RL F SF
AA- dL
RgA9 - 5914
F
L = 5L
R
Rgtiq - SaF4
54
6. Sunt duo numeri (lire magnitudines) quorum rectangulum est A, _ ma-
jor ex iptis ponitur A. Ouisnam est minor: quae iporum summa. qux iplorum
ditterencia? Quae quadratorum summa. quae quadratorum disterentia :
A9. F A.
A9 - A.
A99 - , 4
RF. C
a94 F  4
A4
Ac
+ SgF9
Si VerO MInOT ex ipLIs PONatuE F:
LGF C49
A Lt
t
 = P. 9
A. 9 - F.44
F
7. Ex his comparatis, mulca aequationes oriuntur. Cap. 11, e 18, ab ipso
MEMOTaTK. OE
A = 3Z. + 3X = Z -F =
A RF
4
SA
E. = 32. = 3Z = 7. = A = A
E. = A = (. - 2.4 - L - 2F. + X
L fid
E.
A. f F4 R A F SA