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# Title: An Introduction To Algebra (shelfmark Leibn. Marg. 87)
# Folio 181, page id 827130880:0197
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Problem ZXX.
LnPaC. 180, For che trlt Columel, lec paz. 178. lIB. 20, 676. ana P29, 179.
1IN. 29. Thetire next Columels have Licles caken From P23. 277. LGuat. 49,
50, 52, Torhe end ehac subcraction miohe sII ehe columels V. V. 3D. WNOIC
cumbers without any alceration are repeated in the columels a. B. D. in the first.
second and fifth sort, because cheyhare no common Dirisor eo reduce them 10
S Emaller. Buc in chechird, fourth, and sixth sort, == 2 dOF: h iS an. INteBeF,
29 3, 4, OF. 5) and a. B. D. are Cound by diridino 2. 1B. D. by 3,
Lnother valne oFb or D helengins 10 every ore of chose pairs oF y and2.
P43. 175 1 33,82 = 0d- ; db 1 bb
337 4 104400 1 40b 1 40b = 49a
O4 3b0 105 400 1 40b 1 40b- 400 3b
105WO2 1062D 1b =- 1 OF -- V40a -- 3D2
106. b 1072d = 1 V1a1 360 b
106- b 208,2D -- V 404 300 D
Sothato hacha Necative value.
1= 2 Ir09Lec this value be called--1
108, 109 TTO21 - 1 V408 3bB + B
107- + 2b (1T2,20, 2b = 1 N400 300
TTO, ITF 1T221 =20 1 2b
112: 2 XF31- D + D
50F5F (1T4D 1 D = 22 yy
113, T24 TF5F- ZE yy
P48. 1. 76.
554Y
552 = 2y
1262y == 27y
116 + 22 1T722 1 2y  2Z 1 27y
127--- 12622 Vy 22 L yy 2y
128, 125, 43 EE9C a
11G0 2 T2OH= aU
20, g=-d T2ILCLH- an = 9.
P = d (122 LCCE t e0 =- p.
3
123 L eF Pp =- 99 F rr
122, 122, 123 T242 10 --r.
T22 12F X25 p--9 =- 294
12 13=T24 T26gr = 2Eta 2taaa
125, 23, T4 227 p g = e 1 f = 1 + m
226, (128gr = fc = mn
50 chac e hare nor another reclangled I
anele (p. g. r.) halE a third Equicrur.
lP. p. 29. I belonging rochis Problem.
The L38th. may be proved chus;
T13 - D (129 - D = D
129+ FF3 23OC 1D = DB + bB
130 +00 C3T eF- c0-1 DD - DD 1 ob 1 b
131,33 C32e1. 1D i DD- a4
132 +t +. D
133- -
T33 ∞F 1 00D =199. 1 Daa
c34FEr 194-DAA D0D
129: 20 (235 etL 1a8 - gr- 2a
135, 26 (13697-: 24 - mn: 2a
136424 lT27 gr = nn a5 in che F28th.
FF3. ThCIaltC olumeL OF P13, 28O hath aII che valueS OF F. Thence bein
crantsferre dinto pag. 284, cher help che Aindins oF p. g. r. A58. f. 8. arc dedu-
Ced oue oF a andb in pa9. 182; and l. m. n. out oF A and D in paZ. 183.
InPaG, 282, 283, 284. thenumbers a. B. D. F. may Kecp che order OF page
(80. 50 che 6 lowect lines Willhare s, n, r, =ab, aD, ta: When che resthave
(dR, r = 20b, 240, 21a.
1)
A2.