256 
PROFESSOR K. PEARSON ON THE MATHEMATICAL THEORY 
Table III.—Personal Equation in Bisection of Lines. 
Experiments. 
Observer 1. 
Observer 2. 
Observer 3. 
1-25 
(a) 
+ -01548 
+-01548 
+ 
(a) 
-02627 
+ 
(^) 
-02627 
+ 
(a) 
-02379 
+ 
-02379 
26-50 
+ -01828 
+ -01688 
+ 
-00890 
+ 
-01759 
+ 
-01600 
+ 
-01989 
51-75 
+ - 02252 
+ -01876 
+ 
-00596 
+ 
-02056 
+ 
-01585 
+ 
-01855 
76-100 
- -00149 
+ -01370 
- 
-01429 
+ 
-01342 
_ 
-01149 
+ 
-01104 
101-125 
+ -00340 
+ -01164 
- 
-02163 
+ 
-00104 
_ 
-03513 
+ 
-00180 
126-150 
+ -00498 
+ -01053 
- 
-02112 
- 
-00265 
_ 
-02196 
-00216 
151-175 
+ -02326 
+ -01235 
+ 
-01524 
- 
-00010 
+ 
-00381 
_ 
-00130 
i 176-200 
+ -02576 
+ -01402 
+ 
-00290 
+ 
-00028 
+ 
-01326 
+ 
-00052 
201-225 
+ -01629 
+ -01428 
+ 
-00649 
+ 
-00097 
+ 
-01979 
+ 
-00266 
226-250 
+ -01396 
+ -01424 
- 
-02604 
— 
-00173 
-01739 
+ 
-00065 
251-275 
+ -00822 
+ -01370 
- 
-02217 
— 
-00359 
_ 
-02387 
-00158 
276-300 
+ -00514 
+ -01298 
- 
-02105 
— 
-00504 
_ 
-01977 
_ 
-00309 
301-325 
+ -01595 
+ -01321 
+ 
-01814 
- 
-00316 
+ 
-00274 
_ 
-00264 
326-350 
+ -01323 
+ -01321 
+ 
-01943 
— 
-00164 
+ 
-00944 
_ 
-00178 
351-375 
+ -02140 
+ -01376 
+ 
- 02003 
— 
-00020 
+ 
-01132 
_ 
-00091 
376-400 
+ -00484 
+ -01320 
— 
-02636 
— 
-00183 
— 
-04012 
_ 
- 00336 
401-425 
+ -00614 
+ -01279 
- 
-02902 
— 
-00343 
-02904 
_ 
-00487 
426-450 
+ -01320 
+ -01281 
- 
-01227 
— 
-00392 
— 
-00978 
_ 
-00514 
451-475 
+ -00946 
+ -01263 
+ 
-00073 
— 
-00333 
+ 
-01512 
_ 
-00408 
476-500 
+ -00698 
+ -01235 
: 
-02548 
— 
-00444 
— 
-01643 
— 
-00469 
Table IV.— Personal Equation for Position of Bright Line, 
Experiments. 
Observer 1. 
Observer 2. 
Observer 3. 
(a) 
(a) 
(b) 
(«) 
(b) 
1-37 
+ -29973 
+ -29973 
- -27703 
- -27703 
+ -42243 
+-42243 
38-74 
+ -04838 
+ -17406 
- -50540 
- -44122 
+ -65919 
+-54081 
75-111 
+ -49432 
+ -28081 
- 1-58568 
- -82270 
+ -22459 
+-43541 
112-148 
+ -13595 
+-24459 
- 1-41649 
- -97115 
+ -42162 
+ -43196 
149-185 
+-02459 
+ -20059 
- 1-18027 
- 1-01297 
-1-02459 
+-14065 
186-212 
- -03074 
+ -17113 
- 1-61037 
-1-08906 
- 1-15704 
- -02462 
213-239 
- -09185 
+ -14142 
-1-60111 
- 1-14690 
- 1-73926 
- -21707 
240-266 
- -30889 
+ -09571 
-1-40222 
- 1-17282 
- -92963 
--28940 
*267-293 
- -40308 
+ -05130 
- 1-21692 
- 1-17675 
- -52346 
- -31024 
294-320 
- -24519 
+ -02621 
- 1-24593 
- 1-18260 
- -67747 
- -34132 
321-347 
- -54185 
- -01812 
- -97185 
-1-16616 
- -16556 
- -32760 
348-374 
+ -08889 
- -01038 
- 1-25704 
- 1-17273 
- -66889 
- -35231 
375-401 
- -04185 
- -01250 
- -92222 
- 1 -15582 
- -47518 
- -36060 
402-435 
- -13735 
- -02228 
- 1-07912 
- 1-14982 
- 1-22735 
- -42850 
436-469 
. + -48117 
+-01429 
- -86324 
- 1-12900 
- 1-34088 
- -49479 
470-503 
+ -52029 
+ -04857 
- 1-45265 
- 1-15092 
- -39588 
- -48809 
504-520 
+ -61882 
+-06724 
- 1-09412 
- 1-14906 
- -41294 
- -48563 
Columns (a) contain the personal equations determined from the experiments given in the first column. 
Columns (d) contain the personal equations determined from all the experiments up to and including the 
last given in the corresijonding line of the first column. 
* Not including No. 291, which was n jr/im rejected. Hence the total number of experiments dealt 
with is one less after this than the number recorded to the right of the fiist column. 
