Proofs Without Words II
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(2) c
(3) c ! "#$" % c ! "#$"
(4) & ! ' ( ) % $*+"$ ! +, , - , - +, ++ c !./ ( 0 0( (( c 1c 1 ( ( ( (( 1 ( 2 ( 1( ( ( ( . !( 3 ( 1 ( 32 3 (3 2 . ( ( ( ( . c +)& 4 .
(5) c
(6) c ! "56' % c ! "56'
(7) & ! ' ( ) % $*+"$ ! +, , - , - +, ++ c !/ ( 0 %0( (( c +)& 4 . c ( ( ( (( 1 ( 2 ( 1( ( ( ( . !7( 3. ( 1 ( 3 2 3 (3 2 . ( ( ( ( .
(8) . / +4 8 2
(9) 9 , 0
(10) 1
(11) c ! "":$ % c ! "$;:
(12) & ! $$* 0 % ;+: ! +, , - , - +, ++ c !, ( < c (( / +4 8 2 2 ( ( ( 1 ()() ( ( =( 2 2 2 ( 1 > 2 .? 8 ( ( ( 2 + ( ( 1 ( 2 ( 2 3 . 1 ( ( 2 1 ? 2 . 4 7 .
(13) 9 ,
(14) c ! 5'"6 % c ! "6::
(15) & ! $;$ 0 % ;+: ! +, , - , - +, ++ c !, ( < c (( 4 7 . .& 1& ( 1 1(( (1 1 2 ) ( ( ( ( ( 1 ( ( % > 88 (( ?1 . , (1 8 2 1 2 ( . ( .
(16) . ./ ( / !<c . c (
(17) 9 /
(18) c ! @6# % c ! :*@
(19) & ! "5: ( ) % $*+"$ ! +, , - , - +, ++ c !c < c (( ./ ( / !<c . c ( ) ( ( ++( > ) > ( ( 8 ( ( ( A/ 1 ( ( + 88 ( ( 1 ( 2 (1 ( ( > c ( A% ( ( (A% ( ( ( A . ( ( (/ ( ( 1 ( ( 2 ( .++ + & ( 1 ( & B./ ( / B + ( ( . C) ! / ( c
(20) 9 c
(21) c ! @5# % c ! 6:'
(22) & ! ## ( ) % $*+"$ ! +, , - , - +, ++ c ! D,( (( C) ! / ( c C) (( ( ( ( ( ( ( ( & 7 c > (( E , ( ( (1 0 ( >( ( 1 12 ( ( ( (1 ( ( .
(23) . . 0/ ( > (
(24) c c
(25) 1F
(26) c ! #*' % c ! *6#
(27) & ! $;* ( ) % $*+"$ ! +, , - , - +, ++ c ! c (( 0/ ( > ( B% 2 ( ( B++F 1( ( c>B/ ) B 0 ( ( ( ? &+ ( 1c > ( ( c 1 ( ( < <, , 8 "'''1 (F+$" 0> 1 = . % (. 0 7(
(28) c ) 7?
(29) c ! $"55 % c ! $"'6
(30) & ! "; ( ) % $*+"$ ! +, , - , - +, ++ c !+ (( % (. 0 7( . ++ ++ 1 ( /,) > 1( ( ) 7? ( ( 9 + ++ ++& ( .2 1 ( ( 1 1 7? ( . + ? 8 (&1 ++ .9& . ( & 10 ( 1E 1 08. ) & (+
(31) (( ( .
(32) / / 4 +, ( E < / (
(33) 9 , 0
(34) 1
(35) c ! 5*"# % c ! 5*"#
(36) & ! ' ( ) % $*+"$ ! +, , - , - +, ++ c !/ ( 0 %0( (( / / 4 +, ( E < / ( .? 8 2 ( ( 1(( ( ( / ( 2 , 10 17 + > > ( > >( ( ( + ( . 1 ( 8(( (
(37) 1 1 1 E & ( ( 1 ( 8 ( +( . 0/ (
(38) 9 G00 (
(39) c ! $56$ % c ! $';'
(40) & ! 55$ ( ) % $*+"$ ! +, , - , - +, ++ c !c < c (( 0/ ( 9 A9 1 A A 2 1 ( 1 0 ( 88 ( 1B0/ ( B ( G0 ( +&2 ( (( ( ++ ((++ ( ( ( ( , (? A A 1 1 A0 ( A. ? 2 > / 2 1 1 (1 ( 0 2 2 (1 ( 2 ( 1 ( ( ( ( ( .
(41) .0 %/ (
(42) c G cF
(43) c !:5@ % c ! ;#@
(44) & ! $:' ( ) % $* +"$ ! +, , - , - +, ++ c ! c (( .0 %/ ( B, ( ( ( 1 1 G F&9 ( 1 1 (1 8 > ( >( ( ++ > >B 0.<) 11 (1( ( G cF ( ( ++ ( () = 1 (c ( 1 ( &( (1.9)0. %E/0.9)/0. , & 1 1 (& ( 3 8 ( ( 3 ( ( ( F ( ( ( ( B B , 11 1 ( ( 1 ( ( ( ( &(1 ( ( 1 1 (B1 1 B++B/ ( 0 0( B . %9 ) .= >F = >F
(45) 9 G
(46) c !:;: % c ! ;65
(47) & ! $:* ( ) % $* +"$ ! +, , - , - +, ++ c !G , (( %9 ) .= >F = >F / ( > . ( 2 & 2 1 (1 E ( 1 ( 1 1 1 71 ( 1 1 ( 3 ( 1%9 ) C )&0 .
(48)
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