14 REMARQUES SLR LA THÉORIE 



20. A/>/)/ic(ilioii cl vérifications. Soient les c(iualioiis ii deux inconnues 

 X, !j: 



2x -V- 3)/ -t- 4 ^ w , 

 âx -t- y H- 1 = w', 

 3x -+- 2^ -t- 3 = ly", 

 3a; -H 7»/ -t- 4 = w'", 

 4a; -4- ôy -H 2 = w". 



1" Éliminant x, on trouve : 



— Irj — 10 = ?r, , — 5?/ — f) = wl , — y — 12 = u-'l , — Gy — 12 = iv'i', ây -4- 6 = ii',', 

 16?/-+- 7 = îo; , v -I- 2 = «'[', 1 1 !/ — 3 = H'î", 2/ — 6 = «'î'", — 1 3y — 6 = îy','. 



2" Les valeurs de w, w', w",... sont: 



7.6— S.10=-8, 7.12—10.1=74, 7. 12— G. 10 = 24, 



— 7.6+ 10.3=— 12, -7.7-4-10.16=111, —7.2-+- 5.10=50, 

 7.3-4-11.10 = 131, 7.G-+- I.10=B2, 7. G — 13.10 = — 88; 



î).12— 6 . I =54, 5.12—6.0=24, — 5 . -t- 3 . 6 = — 12, —5.7-4- 16.0=61, 



— 3.2+5.6=20, 5.3+11.0 = 81, 3.6+1.0=30, 3.6 — 13.0 = — 4.8; 

 1.12 — 6.12=— 60, — 1.6+ 3.12 = 30, —1.7+ 16.12=183, 



-1.2+3.12 = 58, 1.3 + 11.12 = 135, 1 . 6 + 1 . 12 = 18, 1.6-13.12 = - 130; 

 -6.6+3.12=0, —6.7 + 16.12=130, —6.2+5.12 = 48, 



6.3+11.12=150, 6.6 — 13.12 = — 120; 



5.7 _dc.6=— 73, 3.2— 5.6 = — 24, — 3. 3 — 1 1 . 6 = — 75, 



— 5.6 — 1.6 =— 2i, -3.6+ 13.6 = 60; 



16.2—5.7 =—3, —16.3— 11.7 =—125, — 16.6-1.7=— 105, — 16-6+ 15.7=— 3 ; 



— 3.3 —11.2=— 37, —5.6— 1 . 2 =— 32, — 3.6 + 13.2= —4; 



— 11.6+1.3=— 65, —11.6— 15.5=— 103; — 1 . 6 — 6.15= -84. 



Par suite, 



(«co) = ( 8- + 74' + 24- + 1 2'' + 1 1 1 - + 36- + 1 3 1- + 32''' + 88*) 

 + (54' + 24' + 12- + 6P + 20' -.- 81' + 56' + 48') 

 + (00' + 50' +185'+ 38' +133'+ 18' + 130') 



+ ( 0' +130'+ 48' +130'+ 48' + 120') + (73' + 24' + 7.3' + 24' + 00') 

 + ( 5' + 125'+ 105'-t- 3') + (57' + 52' + 42') + (65' + 105') + 84' 



