Mr. Bowditch on the Comet of 1811. 
“321 
negative ; then arranging them according to the magnitudes of the 
2048 A574 1128 2028 
quotients —>=> a pcs 
— 542’ —516 —523 
—z59 &e. found by dividing the con- 
stant term of each equation by the coefficient of ¢, noticing the signs. 
In this way the system of equations (G) was obtained. 
9t— 939 
%(82)=243+t—2075) 
—2(5 7) —624-t—51851 
ala 8)=345+t—1712 
29) —=7185¢—5823 
ase f 5 )==317*t—1545 
—x(**)=2461—1084 
x(75)=196-t—162i] 
z(38)=948-7—7596 
(44) 32164-1726 
7 (80) 397+7— phe 
(6 6 )— 
2(*48)= 476%— 369) 
x(103)— —x( $F) —903-1—1553) 2($*)=1150%t—1871) 2(**)—g14-7-— 
x(41)= 95t—6987| x(5*)=270t—2065) «(9*)= 402-t+—1679 gieh oa 179 
j—x(16)= 77-t-—4587| x(129)=402-t-—2996) x©(*°)=1038-t—4198 thi =2427— 81 
2(2°4)== 3Ot—1081|—27($ 1) = 346-t—2554—x(°° = 239:t— 949—2(1°)—4ag7— 142 
—x aise meee (40) —14 9-4 1078 Boe 255-t—1004,—7 (*)=—5024— 99 
x(7S) sel 54et—2840| (3 ¥ J 546-—3825—* (*)= 523-t—2028-——* (*)=446+t4 167 
2(18)—= 36-t— 628| x639)=207+1t— 1444 — 7 (5 0) Pmt — 105-44. 159 
—— (17 )—= 27-t— 448 ar( 70 = 52t— 350—x (1)= er ot 750 
(791 28-t—-1924|—2(5 1) =554-t—3721|—x(191)= 125-t— 425,\—x(9*)—16 974+ 310 
x(®3)=195-t-—-2574|— (9 *)=329-t—2119, x($*)=1070:t—3298) x(*11)—414-t+ 1064 
Be are tlt a( 25 )=387+t—2405 Ge 128*t—- 388) x(412)—496-1+1361 
— 2 (46 )=352*t—4.558|—2( 5 * )=5701t—3531—r (#)= 542-7—1574,  x( 24) = 3064 1058 
—2(91)=317+7—3912| «(8% )=470 t—2898) x(3°)=1177-t—3364\—2x( 4 * 456741663 
Hx ( § 4) 235+t—2798|—.x( §* ) =289"t i731 zs 9)= 393-t—1103—27(**)=110t+ 545 
—2( 5s )=6061—6387| x 76) ax St—1250/—7(19°) = 148%— 397, wx(*°)—269-t+1306 
@(21)—=228-t—2355|  2(* 4) =199-t—1133-—2(5 4)= 582:t—1339\—7(15)=124t4 627 
—2x( 4? 41 7:t—4237| 2(54)=627+t—3555| 7(95)= 641-t—1435—x(4*)=183-t+ 938 
— (5 )=588-t —5972\—2( 9? )=323- tn 1807 FU 1)= 408-t— 905 (44) =335- t-+-1760 
2 (4? )=371t—3741\—a (7 )=477-t—2648/—* (3)= 5/6%—1128| 2(7*)=248-1-+1800 
x 388-t—3823/—~ t=150:t— 8031 sat 911%—197 re ccs: tes 
——— ery 69-t— ce erry ess 949}-—* °? = 184°t— oe 947+ 938 
eh 4) —466-t—2475|—r ( se 462*t— 84+9/—w( 95 )=325-7+3807 
—x(é 8) =261:%t—2370—a2(14+)=169-t— 869 x(2°7)— 313%t— 545/—x(*6 )—307-1+3680 
—z( 9 #)— 282: 4+—2497|—2x(* 3)=576:t—2862/—a (§)= 489-7— pe we( 49S )—= 133-14. 2142 
29] x( 295 )== 93-t+4+2505 
x($9)= 21+ 633 
176:t— 185\—x1( #8) 247+ 948 
—x(*7)= 293t— 235)\-x(2°% = 
The sum of the coefficients of ¢ in all these equations is 39947=F, 
The sum of the coefficients of the first §9 equations is 19387, which 
is less than 3 F, and by adding the next mie coeflicient the sum 
ferosmee 20425, which exceeds 5 F, consequentl; 
second member of the 60th ec ceaioe system (G) must be 
put = 0, to pends a sum of the errorsa minimum. This gives 
470 
-_ 
137%+1981 
Q 
~~ 
