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# Title: An Introduction To Algebra (shelfmark Leibn. Marg. 87)
# Folio 147, page id 827130880:0163
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=827130880&page=163
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is
Resolution of Problemes.
cogether. Which may be done mithout contution it reule leci
2 rent Capes chus.
0
6 = 2)
1OTZ  y+ V12
4 A = ZZ 1 272
1202IV =0
203 3 - 0+ V12
2043 6P
105)2 = 53  2p5
L.X2mpLCS a. V. L d.
 are A. B. K. L. 21. 26 _. X
divided by their ercarelt conthon
5B=127. - 272)2062B =L2VV- 2nZ DivitorS. Which DiviioIS deC
37 X == 2277 + 272 207 _ == F2VD 1 2V5) chece sec in ero ColumelIS MaL
38 D =22 27x) (208D = 35 2P5hed chus-:
Fire examples oF Inverted Repetition.
y. Z) A I BIK (D) == a(b)R) d (I v. 51 X I 1B) _ ID
F. 3t 25) 0) 28 3) 3]5)20) 2 2. 4 24 4 20
E
3, 20160) 4826840) 820, 627 5 5. 28504+204801442
2
7. 18576336840722424 5435) 33, 24(280) 24F92) 2T2 83
5. 1226428042024c2222535 2T. 535 2 22) 25
23
3. 8(2221 6cl1561261 4281539l 4l12. 9lc171 221 84 45l 3(39 428) 23
InaII these, a = B. b -- 0. R - a. d = B. ThaCISFO(AY. These PerMUtatIOnS
and inverred repetitions aee seen in them after they have been diridedby cheir
grearest common Dirisor and noc before.
Buc before such dirision in all chese examples-
B
r
D2d--
2
B and cheretore
A2 =BB and 2 D = 2BK. Wheretore let chese be che grounds oF Follorring
search For chehabicude OF y. Z. 10P. 3
(209) AY 1 RI
11O _D = 1BK
4X 10B 2IT A∞ =Z322 1 235]2 2V52~ 4V3)~
105X 38 212, 8O=-5522 25572 1203~~ 4V2)Z
5+ 107 1T3 BR =Z44vBy y 1 24v5 Jy 24vV7Z 4V3YZ
1064 37 214 2(C = 1440V7y - 24V377 1 2400y Z 4D3)~
TIT = IT2 TT5 AD ND = 433)Z 4V5ZZ
113 - 224 116 BH 1BK = 42v5y7 - 48PPyC
109- 210 127) AY VD - -B 1BKC
1F5,116, 117 128 4337Z 40322 =48p577-48pVyZ
118- 4 (129 5772 v522 =12V577 - L2VByZ (Divide by 2y - pZ)
119i
120, 3Z = L2D)
et ita elte