Progress, tbe Universal LaW of f'laiare; Tbodgbt. tbe 3olVer)t of fier Problems. C H IC A G O. J U N E
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- Bartholomew Holmes
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1 4 '; ) pp p p p p ( p ) - p - p - p p p j p p p p - p- q ( p - p p' p ( p ) ) p p p p- p ; R : pp x ; p p ; p p - : p pp p «( 7 p p! ^(/ -) p x- p- p p p p 2p p xp p : / xp - p q p x p p p pp x pp p p p p: p : p x p xp p - /-/ > p --- «: p p - 0»» p p \ : pp - p : - - xp p ( ) p p x p ' xp ; p R p p -- p p p q x p : R - p xp xp p - p-x pp p j p - p-x Y R R x p pp xp p p p - p xp p p - x p ( p xp x q: xp xp p x p z - p p p p : p p p xp - x p Y xp x- p p xp - p p x p p :! p xp p z -- ( pp - x x xp ) p p p xp p p p p : x x xp j xp ; p p p p- p p p p p p xp - xxp p pp p p - p xp - xp xp 0» ' p p p : p p j xp - x p p p : p- p p p p -\ p p xp p p p R- p } pp pz p p p p p p p R- p p x p p p : x p- j -z x p p p: p p - p p p xp p - z pp p x p p : p x j pp p p - p ( ) p : q p p: p p q p pp p p x p -p p p ; ; - x p pp x p - '- p p p pp p q p p j p p p p p p p p xp p-x ( p p x : p x) q pp ; - xp p ; p p: q; xp p pp p p- : xp p pp p x ; ' x p x p: p x p p p p - x( ) p: p p p p ( j pp x pz -! p p p p) p pp p p xp p ( ) p j ; p p: : p p p - p p p - p p q p 2 p p pp p p p xp p pp p pp xp p p- xp ( ) pp p j p 4 p p -: j p; p q 5 xp ; p p j - p x j pp j 6 x z p z ; p p ; p x z p x - p : p R p pp p p - p - q p pp xp pp x p p pp p : p ; p p xp z p p p x p p p p Y p x p -x p p! : p p ( p p p p p R R p xp ) q (p p p ] xp : - -x ; p ) R - R p R R-- : p q p x pp x p xp p : p [ p] p z 4 p p p p p ; q R-- p p p ; p xp q p p p p p ; p pp : R- p p xp : j [^ j - p p p j p p p j p p p 2-( ) ( p- : -- p x pp x j p ' ; ) p x p xp- pp p ; [ p : () x -x: p p ; x x xpxp ; xp p - p xp (2) p q j x p xp () p - p p! p p p- p ; p p xp - q p p xp p p x p p ' : p p p xp Y p (4) p pp p p p : xp p ; z - p R- x p xp p p x p p p pp p x ; : ; pj p xp p pp xp p R- p pp p p xp : j x ' p p p - xp ' p p p p p x p > >» xp p x R- - - p p q pp xp ««R p: : p [ pp x x - x p x x p p : pp p- - p ' x; p : ; p : pp -«( -x p p p p x p -- q p - ' p p - : p [ x p p x p ' p p p p p [ x p z pp p Y z z -x p x p p ; x p p p ( p ' - z )0 ) xp p j p - p p p p ; p p p ; p p ' p j p - p p -- p pj: : p p p Y p R- z p p - q - ( p)
![R x x»» xp p z p 4 ; 7 R Rp '' p p ) p p ' R j - p ; 0 0» x - ; x- p x p p ; 6 p pp - - q -x : Y p ; 7 8 pz 8 x R ; R x p p ; 20 p R Z p p p ] z z ; (j 22 R 2 x p - - p pp ; 24 Y p 5 0 7 - - p ( ' -](/docs-images/94/119804439/images/2-2.jpg "; 0 p p!! x p z j ( p p p x p!«p - Y 2 4 j j p ; : 6 : pp p z ; 9 20 R q ; ; 24 25 20 p ; p ; p p p q p p p ' p R p x- -x p - p p (»»- p R pp ' pp p p R p pp p p Rp' p p R p p q! R! p pp p - RR p p - x Y p q p p!")
2 R R R p ( R p R R R! : -' p p p ' p ; R ' : p «j pp - p x ) < p p p <>( X x ' '< p p p p p ' p : p x p ) xp z p p x ( p p( p p z p « > ) ' ' x () p p pp p ' j p x p p ; - <j RX p - x ' x 4( R R p p p z- ;» Y 0 ( - p-! ' p p p p p j p 8 j - p p ^ z p p p p p p p - \ p ( p p p x! p z p j xp p pp p pp p ) p z p «pp pp pp p : p ' pq pp p p x p Q j (pp 4 p p p p xj p p p 7 ' p p p p p ( ( p ' p! R x x»» xp p z p 4 ; 7 R Rp '' p p ) p p ' R j - p ; 0 0» x - ; x- p x p p ; 6 p pp - - q -x : Y p ; 7 8 pz 8 x R ; R x p p ; 20 p R Z p p p ] z z ; (j 22 R 2 x p - - p pp ; 24 Y p p ( ' - ; 0 p p!! x p z j ( p p p x p!«p - Y 2 4 j j p ; : 6 : pp p z ; 9 20 R q ; ; p ; p ; p p p q p p p ' p R p x- -x p - p p (»»- p R pp ' pp p p R p pp p p Rp' p p R p p q! R! p pp p - RR p p - x Y p q p p! p pp p p j 0 R : ) x p p - p xp pp p p q R x Y pp- pp - )xp p-! p» xxx p p! p p : p p : xp «p p p p p ]<p p - p p- p p- RY 6 89 p p p p p - p p! j p p p p Y p p p j Y p p p R p : pp pp p p p q - x p p p p j p 422 pz p p : ) : xp ( p p p j p xp - p p p ' p p p p 0:0 ' j > pp p z p 8 j q p - p z p p x p j - q p p p p p p > ) p p p ]/»' p p R p 4 p R p x p ' p p -p p - : p pz R ^ j R ) q p p p p p p R R p x ( ) p x pp ; 28 ^! x - p & p p 0000 pp ; p- pp p p 8 - p 7 p p p p q p p p pp p p p p xp p p x p pp )» p pp p ; x p' ; - -p p p p p p p p p p p p p - - p p pp p 78 j p j-p ' pp! j- p p! ) p p j^ : p 200 pp jj: pp p ' p - - x p R ) p Y ' p : p ; ' p' p p ' p pp p p p x pp x p p - p p ; p x pp ; p x p pp p p p q p p ; pp p z p p p p p; j p ; p Y R p - [ - p p p : ' p p ( x p p x '! p 2 R R 0 p p 0:0 p : x 5 p p p q p xp p p p- p - ) p /Y p xp ) R x p p p p j p x p-p ) ' \ pp ; p p pp pp pp! p p p p x p z - 5 R p p p x - p ( pp p x p p ' j' - / p - - p - R p p 92 z ' ) j '9 ' p p p ' p p ' R p x p p -j p p p pj p - z p 240 ^8 ; ) p p p - p p p p q p p! p : pp p p p p ] : j p p p p p» p p p p ) - p p p xp p xp- j pp ) p p pp 6 p p p> ( x p p 8 : p ; x z p x p' p;! 400 pp 'p' p - p pp [ p : p p j R p jp pp p p! j ' ( q - p p p p - ) p : : p xp ' p' x ) p p p - z R; x - p - p p p pp p q &! p z z p x p z p p q ' R - p 26 p p p x) 0 p ' ( ) p z - - ' pp p p : p p p p>' x p R j p > p' p p p Y : 2 0 j >> Y p xp p 'RQ pp 'p > p { > R ' ; 5 ; : ) R p- ' 5 ; x p p ; p Y : p : p p ; pp > '- p z ; 24 q p p ; p pp p p p p ) p j ppp - x pp ()! x pp X p ] p 88 p 8 8 R p p : Rp! xp p p p x p p Q > R ' - pp p - - pp! p p p j - j - - : - - p --
3 R R R ; p pp xp pp pp pp ;p p p p p pj p; p p j p x R p ; R - p p : z p p pp p pp p pp p RX p p p - - q q p 2 ' p x - x p x : pp p [ [ - - Y! p p p x pp R Y- j p p Y p j : p pp YR R x j - p pp z p xp j p j - p p - p z j >> p: pp z j p : - - p q p 875: ; p p ' pp «; R [ pp j p p- [ p ; p 85! p 70 p - p ; p -[ [; Q ; p p ; R p p x pp R x - - p p p pp [ q p p p x p '! pzz p p - pp p p p p pp p p p p p xp «p p- x p q- p p ~ 28 4 p p p - pp p p pp p p p : p R pp p p p : p j pp R RR p [ ; p Y p x p p - - ; pp! p p p [ p z p p p pp j - p p { p - Y p q pp pp - j p -- p p pp ( p [ ) : Y ' p j p p p p p : p p p p p Z- [ p: Y p RY p - p ; p : (p ) z q p R - q pp p p p- R R x p R - ( pp - x p R ' p) p p p p pp z p! p p p ] p : p 489 px p pp p : :Y p 27 p p [ p p p p q p p pp q - p p: j p R p xp xp p p : p! p - p p -j [ p q x p p p 875 p 878 p p p p pp > pp : - p - ( ) ' p p - : pp p p p p p p pp ' p x ; p z p [ pp [ p- p ; p p p p p p p 2 : - p p Y p x p x p x 27 p p R z ^ q pp p pp p p p p [p p p \ p p p p j p p p p p p p p Y p p p p p z Y pp ; pp q p z z p Y p p p p - p; p p - ( p p p p p (p 5 R p ) p - } : p ): pp z p p 6 p p p p 089 : 8- p ; p pp pp p p : 7 p p j p pp p p -! ; q p p ( - p - p - pp p j p p p p - R p- p - q: R p p 80 p p R - p! p p p p p pp x xp p - «( p - xp x p p! «^ 5 pp - xp p p- p x - / ' p p p-p- p j [ p p pp- p p j q Q p - p - p ; q p p p- R - p; q p j Y z p - p p p p p ^ x- p p p - p pp p p p p R p p - p p q p p p x p p p R p pp p p - xp x ^ ( R) j q] p pp - ; p p j p x p; - p p p - pp -p p q p j - p j 89 p [ R - p pp - p pp- p p p - ~ x - p!) p q - j - p p 0- Y p p! p x 7 p - j p x ««: 7 - ^ 0» p p j p p pp: p ; p x ; p p p p 2 -\ ---- ;! 0875 : ^ p 7 j j p - ^ ^ ^ ^ p pp x ' p^ / : - 68 j p pp - ' z < p p p p z p - p p p pp - p p p p p pp pp - p z «--- x p x - p j p p x ppp x p - p p z p : p p ' z p -- R j () p p p' p pp p p p p pp ( ) qp p R j p p- q q x p p 4 p p p p p p - p : p p z j p - pp p p j p x p - j & p j ~ ~ j -! ' p p- 7 p p p pp - 78 p p ; pp xp ; p p p x x [ q p pp p p- p 600 p p p p 825 : p p p p x - - q p q p p ) p : - p p p x p p - p j-^ p p p p! 2 p p p -! p ] p j - p p; : p ^ p x -p > [ < p p p p p x p z p p q p ' p q ^--- z z p p p p p p Y ) p pp p p p; ' p 5 z p p p j R p ( p j j p )4 p - -p p p p p 8200 p 5 R R Q Q
![: R [ p x pp x p p p pp q p p p x p ' p pzz p pp! - - p j0> - p p p j pp p p p p p! xp p ': p x p [ ( Q p p ] ' «28 4 p j- 886 p p - pp p p pp p p p : p R pp p [p p : p j pp R RR p ; p Y p x p p -!](/docs-images/94/119804439/images/4-3.jpg "; pp p p p p z! p p p pp j - p p p - Y q p - pp pp ' p -- p pp p ( p ) : Y p j p p ' p p p : p p p p p Z- p: Y R Y p p ; p p : (p ) q 877 p R q pp p p p R R ^ x p R -- ( - x p R pp ' p) p p p p!pp z!")
4 R R R [ ; p pp pp' p p xp pp p p pj p; p p x R p j p R - p ; p p : R z pp p p pp p p R X p pp p «p p - q q p 2 ' x x p x p : pp! ]( Y R p p p p x pp p Y - j p p Y [ p j - : p pp YR R x j - p pp' z p xp p j p -' p - z p: pp^ z p p ; - [ p q p 875; ; p p ' pp - ; R [ pp j p p j ] p ; p 65 p [70 ' p - p ; ] p - ; Q : ] p p : R [ p x pp x p p p pp q p p p x p ' p pzz p pp! - - p j0> - p p p j pp p p p p p! xp p ': p x p [ ( Q p p ] ' «28 4 p j- 886 p p - pp p p pp p p p : p R pp p [p p : p j pp R RR p ; p Y p x p p -! ; pp p p p p z! p p p pp j - p p p - Y q p - pp pp ' p -- p pp p ( p ) : Y p j p p ' p p p : p p p p p Z- p: Y R Y p p ; p p : (p ) q 877 p R q pp p p p R R ^ x p R -- ( - x p R pp ' p) p p p p!pp z! p p p p p : p px p pp p : :Y p 27» p p p p q p p p p p pp q p p: p R p xp xp p p p - ; p p p q x p p p 875 p 878 p - p p p p pp - p - - pp : ( ) p p - p pp p p : p p pp p x ; p p z p- p pp p ; p p p p p p p 2 : p p p x p x p x 27 p p Y R z q pp p pp p p p [p p p p p p p p p j p [ ' p p p p p Y p p p p p z pp Y pp q p z z ; p Y p p p p; p p - ( ' ' p p j p p p (p p R ) p pp ): : p z p p 6 p p { p p 089 : p p pp pp p p p p R: 7 j p pp p p -! ; q p p ( p pp p j ) ' p p p p R () q p q: p R p p R p p p 80 ; R p p p p p pp x xp p p -- p - xp x p p pp [ - - p pp xp p p! p x - p p p-p- [ p p p pp j p pp q Q p p - p q p p R p; q p j p z p p p x- p p p p Y p p p pp p p p p - R p p p p q / p«p p \ p x p p p R ' pp p p p 7 xp x ( p pp ; p p R) j q - x p p; p - pp -p p [ q p p - - p p - [ 4 p R - p 89 pp- p p p - x pp - p p q -! - - p p Y - p p -! p p x p - - p x x - ; j p p pp; p ; p p p p p p » : x ; p p 7 pp p p p p p : j x z p - pp p p p - p p p z p pp - p - p p p p z ' x p pp pp x - p p - p p ppp x p p p - p z p ' z : p p j - '- p () p p z R p ' - ''0 p p «pp p p - p ( ) ) ' p R p p- q x p q 8\ p 4 p p p» p ' & p p p - j - p z : - pp p p j ' p xp p p R ' p p- 7 p p pp ' p p p ; 78 xp ; p pp p p x x»»» q p pp p p p 00 - p p p p «p 25 : p p p p x - - q p - q p - p p : p x p p - p p p p p p p p p p - p p ^j - p : p; p p x p p p p p x p z p p p p q z q p p p p ' p z [ p Y ) ' p [ p p p; p pp p p p z p p j R j p p - -p p j p p p p p 5 R R Q Q
![4 R R R p j ^ p R : R / 2 - x p ' p 0 p '> p p ; p ; p p p p ; -p ( p p xp pp p p p ' p]>; ( j - p p pp pp p - ) p! - pp ' - p R Y' R R! ; ( 8 44 q - p p pp pp R R R R!](/docs-images/94/119804439/images/5-0.jpg "R x R R R j p > q # p ' pp / x Z «p p - x j xp x x p [ p p - x R R!")
![: ///// q p p p - p ' ' p -- p p : - p pp p 7 p p ; p p x p x p p : p ' Z - p p!» p x j! p p p p p p p p p ' :» p - R j [ p p R - p! - : p - pp x - j z - ] R R R R - - p!](/docs-images/94/119804439/images/5-3.jpg "; p Y p # p- p p p p p p Y \ pp p p pp p p p ' Y ; p xp x p p p p j p ( pp- Y p ( ) : Y! p p p j j p pp R R / / pp q ( p p p q p p p pp p) ; q p p» «; - p: > p x p! ; xp p q!")
![R R R \ p ] p \ p > p p : p! p Y p p R 04 p ; p pp ; p p p RY - p Y! p p - p ( p q p! ; p x R ( p p X «- p p ; ; pp z j Y p p R R '/ \ p p z < q p p! ( p:! p ~ 6 ' q j - R R R p : R : :!](/docs-images/94/119804439/images/5-4.jpg "): p: ' p R p ;» : ' ' p- ' Z j Z Y ' 8 p ' p ; : ( pp - p ; '» - p p p R R pp - p R «0> p! p p p R R! p x p - ] pp : pp : : p p] q ; p; : :!")
5 4 R R R p j ^ p R : R / 2 - x p ' p 0 p '> p p ; p ; p p p p ; -p ( p p xp pp p p p ' p]>; ( j - p p pp pp p - ) p! - pp ' - p R Y' R R! ; ( 8 44 q - p p pp pp R R R R! R x R R R j p > q # p ' pp / x Z «p p - x j xp x x p [ p p - x R R! R p p Z p p pp < R 2- Y p ^ xp p' x p p p R R p x- pp p p : p q j R pp p pp p : [ p p pp p Y RYR R\ p pp p» p ; p xp pp / p p q p j p /R R R R p q pp p p p p x p p p q p z p ' xp p! ) ' p p p - p X j R ^ p p p xp p p q : p p p /- p p p x p x \ p p p : p ' #2 p p R R! Y R x p p j - x - p x ' R ' p p - p R! : ///// q p p p - p ' ' p -- p p : - p pp p 7 p p ; p p x p x p p : p ' Z - p p!» p x j! p p p p p p p p p ' :» p - R j [ p p R - p! - : p - pp x - j z - ] R R R R - - p! ; p Y p # p- p p p p p p Y \ pp p p pp p p p ' Y ; p xp x p p p p j p ( pp- Y p ( ) : Y! p p p j j p pp R R / / pp q ( p p p q p p p pp p) ; q p p» «; - p: > p x p! ; xp p q! R R R \ p ] p \ p > p p : p! p Y p p R 04 p ; p pp ; p p p RY - p Y! p p - p ( p q p! ; p x R ( p p X «- p p ; ; pp z j Y p p R R '/ \ p p z < q p p! ( p:! p ~ 6 ' q j - R R R p : R : :! ): p: ' p R p ;» : ' ' p- ' Z j Z Y ' 8 p ' p ; : ( pp - p ; '» - p p p R R pp - p R «0> p! p p p R R! p x p - ] pp : pp : : p p] q ; p; : :! p ; : p p : pp pp ; : p p z p p j R : ' p ; : { p : ; : 0 ; : pp x p 22( : ; ; ; ; ; Y p j p ; - R 0 p ^ - ' «p p- ( - x pp xp x: p ' p R } p p p pp ; p p Y R p pp ; ^ xp p! p ' $ -- p p - j^j^-j \ pp R R R p p - p p p - p ' p - j p : ; -» R R p p p - p ' ; p ' p pp 4 R 80 R q p p p / R R R p pp p - p p p : p: pp pp ( pp «p ' > - z j p p / R R Y - p p ' p p p x p j ^ ( - p p ' q - p p p p j p ' q xp : p -;» : p p p p - : p p p x -!- p p :» : - pp p q p ( ) p p xp p 8 R x p - j q ' Y Y z pp p-! pp pp x! q p j p p p» Y - p p xp x ' pp >«0 p R R R R p p p ' Y pp x - p 0 ; pp Q p q ^ ^ - p p - j p : ' p p - R x p ( R 2 z - ; }\ / z ^ ^»! ; z«z z z z - z; q! p - - p : j jz z z p p z z z z ; z j ' ] ; pp ; z z ; z p p- x p p : p pp q p p z - p p z z : - - Z ' p p p p Xxp z : R: ' ; p p z- : q q ; z p pp z Y p p X p p p p p > Z 22 Y xp p p; - p q p p «q p p - q q p q p p p ( p p x p p xp! x p z z z q ; p p! z p / R R '' q ' p p z Y j Z q x q q» X ; p pp Y R z p R p q ' R ' p p q p q - R 5 q pp ^ p Y «p p <2 p j - R ' ' p p ( ' --~ p p p (Z - z p : : p : ; j-; ; ; x ; Z Z p ' ; ; p j p -p p p p p j : ; ; ; q x p! : p! «pp ( : : «: Z z R p - ; ) p ; - ' p p p p ) z p : : : ( p pp p : ; R zz j pp : p : ' p z ( -p p /R R R X- R p p pz z R xp Z - ' p p p - X xp - - -p pz j /R R-RY! j x ->»- j x p j : pp p p 2 ' RY Y p - 22 p p z > p p Y p R p-p p p pp p z - p p p ' ppx» - x x ; pp ' j p p p ( j p p ^ ^ ^ ^ \^ ' x ; -pp \ q j j p z ; p - p p p j p- R R R R R ' xp X ) ) p p -- z z ' p p p: j p R R j ^ ^»»» p : p - p ' q p pp ; x p - ^!! j q - p p Z p p ^ ^ ^ - ) ^ ^ ^ ^ ^ p- -»- X p - j» x pp -pz ( Y; q & YR R Y Y [ R R Y
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