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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 283, page id 851708439:0307
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A L G E B R A.
EAODEEM A
Invenire duo trianeula aequierura, ejusdem Area e ambitus; quorumque sin
eula latera  perpendicutares sie dini sn nordo an seherum.
Pextumo, utnotum: Duo Frianguli Rectanguli latera sint inter se ut Numerus
ad Numerum; ponenda Tunc, uc Duorum numerorum quadratorum, Summa, Ditte
rentia, ee duplum (ut Laceribus Rectangulum. PUta, aa = bb, aa - bb, 2 ab;
seu tek + d au kl = d dn 2R d. Quapropier ic Donuntur, A. qu. Y, 293; 6,7, 8.
a= 2
6
TT ve
X=
13-
7T4. XF5
8, C4, 25
) +)AB(= c) = aa f 3b.:. AB9(= ec) = at = 2. aabb f 3
2 AD(=f) = 2 ab: AD4(- Ss) = 4 aabb
3BD (= 5) = aa - bb: BD9(= es =) at -- 2 aabb + B1)
4 AB. F AD(= e + s) = aa f 3b. + 2. ab = = Ambic.
5(ADTBD (= (8) = 22b -- 2ab3 = AreK.
SperFie.
6FC (=)) = kL + ad :: F69(= 11 = v + 2 Redd f d
ZFF (= m) = 2kd: FFI9 (mm) = 4 te k d d
SCFI (= n) = k ad: GFI9 (nn) = P - 2. ka d f a
oFC. F FH(= 7H m) =k t aa + 2td = ; Ambit.
TOFFTX OLL (=mn) = 21 d - 2 kd = AreX.
T2 aa. = Bb + 2 ab = k = dd + 2X d
122a3b - 2ab = 2. ked - 2. keas 5 Per Pcobl.
13a + B = k F d
14 2. = _ = R: aa. = 2 ar F ~x = kR
25b = N = d: bb - 2b∞ + X X = adt
26FLI (= 214)-2ab 2ax + 2B∞ - 2~X
+rGFH(= bk- ad) = aa BB + 2ax L 2B∞
e pec His.
26n 27, 18F FCH = 2a2-22  + 6a B ~- 6aax X 2ab + 6abb r. - 2b. r + 6bb. X. V
70, 12
= 4 a43 - 4b∞3 = (242 a - 2ka = ) 2 a b - 2ab.
12 - 18 (c9 aav f qbe + baata  60ba v. + 2a v. + 2b. 1. - 6aabs. - 6abb 1. = 0
19-:: + ax. + 4b4 20 ~X + 3as = 3b X + :aa - 2ab + : bb =0
20 = (2T ~~ + 3aX 3b2 = 3aa t 2ab- .bb. Erso (complendo Ouactratum)
ea  T4 ab f. bb
22 vo sesta + ; a - 1b = LY ac + 14 ab. +bb = V. na + 24 ab + bb:
NN2
Sniver.