308 
PROFESSOE A. R. FORSYTH OX THE 
^4 — '"Ooo./lOO H“ ^^'100^7oin "4“ 
010 -^ 001 ) 
i = «ioo^)()i ~ 2«oio/?noi “ ^hoJhoo ~ ^/lOf/Ooo + 2^oir/0oo + 
7 I — '"Hoo'^om ~ -^f‘o()if/o\o ~ '^^oio^ioo ~ ^/lon.^ioo + ^.^loo^'ooi + ^9w^9oio^ 
^4 — '^^oio^Aoi ^^loo./ioo + ^hoof/oio — ^Oon^Ojoi H“ 
-ioo> 
e,), — 
ooi'^oor 
Too' 
*^100 “1“ 2 ?>ooii/100 +2 Cqiq/i ]^qq 100 "I" .^Yio “ ooi “!“ 
0015 
^ 4 — '"•''OOl'^OlO ^loofioo "I" ^loJ^QOl ClOo9o]0 “1“ 2Coio.9'ioO ; 
“ 5 = ~ '"Tioi^Too ~ '"’^om.O'oio + ^hno/itio ~ + 2aQQ^A„jri, 
^ 5 — '"^101^^)10 2/>2||q/?oq;^ ''<010^^101 2(/Qif/''oio "1“ ‘^fv Jhno + -^^ovhim- 
y h — ' ^Too'^Too' 
“t“ 2^^001./oio“l“ 2 fToo^Ono“t"/ 'loo' . 5 ^Yiio ’ 
■2/ino^^ooi+^^^ 
0015 
^ r. — ^^ii() 5 /oiii ^Aiioyioo “t“ *^V)l()^^lOl ^Ton^i 
001 ' 
= ^Viio'Too “ 2 ?ioi)i/]no ^Toi 7 'oio 2 /q;^,-)//oui “t“ 2/010^^x11 ~ 1 ~ 2 /io(i/i 
010 ' 
— '^'ooi'^Too ^'010,7010 *'010^7 
'"om/i( 
Ju O, 
a 
001 ' oio.Ooo ~r 5 ^'-']oo/oio 5 
fi ~ ''^oio^'ioo ''^'ooi^^joi ~H '^'^001/100 '"^oni 7 oio “ 1 " 2 «v,io 7 uoi’ 
^^oo/oio ~ '^Too^ioo “ ^Oio/Axh “/ '^^*m9(.m ~i“ 2«Qjo/oni +/ ~ioo~l“.7'oi(i ■ 
2 <' 4 no 7 oio ~ f'^'ooA'oio ~ '^ 9 m\^hf)i H~ 2/201,7001 + 2 //oin 7 ooi 5 
“^T0 iA)1 O ~ ^%1^^001 H“ ^^OOl.VolO “ /)Ol/lOO + 2 il 20 o/lOl 5 
^>> == ^TooOxii “ 2(?oio/ioo ~ /(n<"ioo ~ 2/0/^001 + 2/qo27oio+2/20(i/joi5 
^6 ~ ”'^’001^^001 “1“ ^'o 01 . 7 oi 0 “{“ 0x11 /100 '^’lOO^OlO' 
•7 7 
' ‘ 4 /i'io 7 oio ”'i 
0015 
) 7 c, — '"^'oio'’-’ooi 
■| S'o- 
'V, = 
The coefficients in the ten integrals a", b", c", f", 
follows :— 
Cij = 6L" {An-ioo + H (2/1200 — «oio) + ^ 4 ( 27 joo — Wooi))-, 
^2 = 6L^ {Ha 2 oo + B (2/1-200 — «o 2 o) + F (27200 “ «'ooi )}5 
y2 6L' {Grn 200 “1“ F ( 2/^200 ^^ 010 ) H“ F (27100 '— *^'^' 00 l)}’ 
A,i = ■—' 4 Art'' 2 oo "F 2B (c^mo 
g-F h", k", V 
m 
n are as 
^010" 100 
2 ^^“100) "F 2 C (o'ooi ffiioi 7 ioo ” 2 . 7 ‘ 2 oo) 
“F 2F (2(:toio*^ooi *^^ 010/100 *^^ooF'ioo F7ioo^hoo) 
“F 2Ct (ttioo^OOl ^^^lOO^/lOo) "F 2H (TiooC^oio 5ff2oo^hoo)5 
9i — 2A (a2oo%]o ~ il^’hoo^hoo) + 2B (2noio^Too ~ “l^hoo^hoo) 
+ 2C( 
2<^oo]/ioo •^^'ooi7oio “F c%ii^^ooi ~ "/ioo^ioo “F 27oio7ioo — 27200 / 7101 ) 
+ 2F (2aoio/ioo “ <^^oio, 7 oio + '^^oio^ 7 ioi + 2«ooi/^ioo 
"^^OA^ioo A/ioo^^ioo “F 27010^700 2 V?ooi/i 2 oo) 
"F 2G ( 2n2oo/ioo “F Tioii7oio ''-hoo^^ooi “F 2noio7ioo <^^oio*^%ji “F 3/^ioof^ooi “ ^ 7200 ^^ 00 ) 
+ 2H(- 
2'"<'ioo'^hoo + Scioio /^loo ^^~010 iB^^ioo)' 
^1 ~ 2A (c^ioo^oui S^hoo^ioo) "F 2C (2«ooTioo — ■^^loof/ioo) 
-T 2B (2c(oio/ioo ^^'010^^001 “F ^%o.7oio “ ^Fioo^^qoo "F 2/i2no'^^ooi 27010 ^^ 00 ) 
"F 2F ( 2 aooi./ioo '"^00/^001 + *^^ioi. 7 oio + 2no2oC2oo 
— 4 C]oo^hoo “ -^.fioo 9 m + 27200^001 ~ '^ 9 iQ(&o\o) 
+ 2G ( 2a2oo*^ioo “F 5®ooi//ioo '"*'''001 ®7Too) 
A 2F1 ( - 20|oo/ioo A ®ioo^^ooi '^^loo/Ano "F 2 ^ 00/^100 ^Aio*'^ooi “F 37ioo*'^'oio ^7ioo^'ioo)! 
