THEIR APPLICATION TO THE SOLUTION OF EQUATIONS. 207 
+ 10(51343) + 16(51244) + 12(50542) + 12(50524) 
+ 2(44332) + 2(44233) + 2(43432) + 2 (43423)? 
+ 26.5°Q?E? — 8-5QEU?. 
Multiplying by U, and proceeding as before, we obtain 
U®= [§ (105005) + (100550)? +3§ (104114) + (101441)? 
+ 2§ (103223) + (102332)? + 5§ (96104) + (94016) 
+ (91460) + (90641)? +5§ (95024) + (94205) 
+ (92540) + (90452)? + 144 (95213) + (93125) 
(92351) + (91532)? +144 (94133) + (93431) 
(93314) + (91343) + 16§ (94322) + (93242) 
(92423) + (92234)? + 10$ (87203) + (83027) 
(82370) + (80732)? +5§ (86015) + (85106) 
+ (81650) + (80561)? + §24(8631 2) + 20(86123) 
+ 24(83261) + 20(83216) + 20(82631) + 24(82136) 
+ 24(81623) + 20(81362)? + 18§ (85115) + (81551)? 
+ §20(85304) + 10(85043) + 10(84530) + 20(84035) 
+ 20(83450) + 10(83405) + 20(80543) + 10(80354)? 
+ §24(85421) + 3(85214) + 12(85124) + 12(84215) 
4 24(84152) + 3(84125) + 12(82541) + 24(82514) 
+ 3(82451) + 3(81542) + 12(81452) + 24(81245)} 
+ 48§ (85232) + (83522) + (82325) + (82253)? 
+ 48§ (84413) + (84341) + (83144) + (81434)? 
+ 48 (84224) + (82442)? + §4(84323) + 6(84233) 
+ 6(83432) + 4(83342) + 6(83324) + 4(83234) 
+ 4(82433) + 6(82343)? + 60(83333) +185 (77411) 
+ (77114) + (71741) + (71714)} + 30§ (77222) 
+ (72722)? + §10(76520) + 20(76205) + 10(75062) 
+ 20(75026) + 10(72605) + 20(72560) + 20(70652) 
+ 10(70256)? + $30(76403) + 20(76034) + 30(74360) 
+ 20(74306) + 20(73640) + 30(73046) + 30(70634) 
+ 20(70463)? + {24(76214) + 30(76142) + 30/74621) 
+ 24(74126) + 24(72461) + 30(72416) + 24(71642) 
+ 30(71264)? + §54(76331) + 14(76313) + 54(73613) 
( ) 
( )¥ 
+ 
+ 
+ 
= 
(ae 
s 
+ 14(73361) + 54(73163) + 14(73136) + 14(71633) 
+ 54(71336)? + 244 (76223) + (73226) + (72632) 
