BY FINITE DIFFERENCES OF PHYSICAL PROBLEMS, ETC. 



343 



4 '2 -3 -3. Various adjustments were necessary. First, because the coarse-difference 

 table has on its upper boundary numbers calculated stepwise by finite differences, and 

 these are not quite the same as the infinitesimal values. Consequently, the infini- 



JS 



17-20 26-91 39-98 



TABLE XII. 



10-56 17-20 



10-57 17-20 



10-82 I7--ZO 



26-83 



-0-3S 



27-00 



-0-06 



The stress function - x for a dam 6 metres 

 high. Co-ordinate difference one-half. The 

 boundary of the solid passes through the 

 series of dots. The black line encloses the 

 body region. The small numbers are 

 ~r<y/ X- 



6-06 10-40 



3-57 



0-65 0-85 0-33 



o oo o-oo o-oo ooo o-oo 



0-47 0-57 



1-Z5 H-57 



5-19 5-38 



3-58 10-86 



I2.-8S 21-86 33 00 



-0-37 1-0-53 -I-77 



1 7-50 27-21 39-02 



+O-+S -0-83 - 



0-30 



0-97 



-0-J6 



0-65 0-85 1-67 



+0-10 -0-67 +0 09 



2-96 3-65 5-23 



+0-+6 -0-33. -1-17 



6-31 8-35 10-55 



+0-13 -0-IA -l-ll 



12-47 14-77 18-13 



-0-13 -0-S7 +0-53 



3-34- 



-0-3+ 



g-50 



-0-51 



14-38 



1-0-S7 



22-35 

 t-o-is- 



13-62 



22-S3 26-71 



-0-O3 -0-14- 



32-19 



-0-13 



3-67 

 +0-17 



7-78 



-O-OE 



13-46 



20-68 



-0-1-1 . 



23-29 



+ 0-02 



33-05 

 -o-ii 



5-22 



-0-56 



14-80 

 + 0-35 



2.3-37 33-83 4&I7 



1-0-12. -tO-l* -0-97 



52-77 



1-0-03 



60-Z8 



-0-03 



39 -3S 56--t-3 





 40-15 56-51- 





 40-5* 56-84- 





 41-31 57-5t 





 42-58 58-73 





 4-4-48 60-41 





 47-13 62-88 





 50-65 66-Z1 





 55-17 70-43 





 60-51 75-82. 





 67-71 82-30 39-84 



75-53 91 -55IOJ-64127-24I4733 



I-0-7O \ 



13-52 



+ 0-31 



20-13 



-0-44- 



21-03 



-0-63 



22-56 



+ 0-05 



30-44 41-57 54-43 



-0-11 -0-5S +06+ 



38-71 50-35 63-55 



+0-63 0-U -0-2.5- 



25-11 



+ 0-11 



37-31 



-0-17 



47-66 



-0-O-*- 



37-22 



-0 01 



46-36 

 o-oo 



5771 



+ 0-JJ2. 



47-33 60-07 73-53 



-00*- -O-IT +0-3Z 



58-14- 70-67 54-35 

 +0-14- -*-o-7o +o a*- 



63-26 5205 36-01 



-O-1O -0-+8 -o-ii 



68-75 



-0-13 



78-07 



+ 0-37 



55-16 



-0-36 



33-12 



+ 0-Z3 



110- 3S 



-0-37 



84-25 100-53 117-54 



+0-59 J O'5A -O'SZ 



33-70 110-23 127-57 



+ 0-08 +1-15 -rO- 



103-31 120-62 I38-2S 



+ 0-J.7 +0-61 +O-I3 



114-33 131-73 149-56 



-0-23 -0-33 -0-09 



IJjfi-39 143-35 



-O-+3 -1-O-tO 



136-57 156-69 



146-13 16673 



157-26 177-53 



163-43 ISS-28 



162-11 



28-28 32-33 36-43 42-65 43-95 59-09 69"K> 81-37 34-5O 108-68 123-54 140-14 157-13 17571 

 42-35 47-35 54-12 6I.-SO 71-52 52-06 34-34 107-60 IM 26 137-32 154-10 I7I-M 



tesimally correct upper boundary of the fine-difference table did not at first fit the 

 lower part derived from the coarse-difference table. A correction to the coarse- 

 difference table was therefore calculated, which, if added to it, would have made its 



