***Chinese Sea Island Height Slot Calculator Example***

This page is under development. Comments are welcome, but please load any comments in the comments section at the bottom of the page. Please include your wiki MONIKER  in your comment with the same courtesy that I will give you. Its very hard to reply intelligibly without some background of the correspondent. Thanks,[gold]
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**Introduction**

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[gold] Here is an eTCL  script on 
to estimate Sea Island Height.
Sea Island Mathmatics Manual 
was a Chinese math book by 
Liu Hui. (263 CE) This book is of
historical interest in algebra and geometry.
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In planning any software,
one needs a good testcase.


%|quantity|number|units|%
&|  height of both poles |  30.|chi|&
&|distance between 2  poles  | 6000|chi|&
&| back pole offset distance  | 762 |chi|&
&| forward pole offset distance | 738 |chi|&
&| textbook answer was 4 li and 55 steps  |7530|chi|&
 
  checking the math by hand calculator:
   ((pole height * distance between 2 poles)/
   (back pole offset distance - forward pole offset distance)) +pole height
   
   ((30 chi * 6000 chi)/(762 chi - 738 chi)) +30 chi
    equals  7530 chi   

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***Screenshots Section***

[http://farm5.static.flickr.com/4095/4905065165_1f66b1e43f.jpg]
 
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***References:***
       
   * http://wwmat.mat.fc.ul.pt/~jnsilva/Sherlock/china2.pdf
   * Liu Hui 
   * http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Liu_Hui.html
   * http://www.hardsumsclub.co.uk/quiz/liu.pdf
   * http://en.wikipedia.org/wiki/The_Sea_Island_Mathematical_Manual
   * http://math.ucsd.edu/programs/undergraduate/history_of_math_resource/history_papers/math_history_01.pdf
   * http://kaleidoscope.cultural-china.com/en/135Kaleidoscope5304.html 
   * http://math2033.uark.edu/wiki/index.php/Liu_Hui

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****Appendix Code****
****appendix TCL programs and scripts ****

****Pretty Print Version**** 
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        # Pretty print version from autoindent and 
        # ased editor
        #  Liu Hui on Sea Island Height
        # written on Windows XP on eTCL
        # working under TCL version 8.5.6 and eTCL 1.0.1
        # gold on TCL WIKI , 18aug2010
        frame .frame -relief flat -bg aquamarine4
        pack .frame -side top -fill y -anchor center
       
        set names {{} {both poles height:} {distance tween 2 poles:} {back poll offset :} {front pole offset:} {height:} {answer height :} {height/1000:}}

        foreach i {1 2 3 4 5 6 7} {
            label .frame.label$i -text [lindex $names $i] -anchor e
            entry .frame.entry$i -width 35 -textvariable side$i
            grid .frame.label$i .frame.entry$i -sticky ew -pady 2 -padx 1
        }
        proc about {} {
            set msg "Calculator for Sea Island Height.
            from TCL WIKI,
            written on eTCL "
            tk_messageBox -title "About" -message $msg
        }
        proc pi {} {expr acos(-1)}
        proc seaisland5 { xx1   } {
            global side1 side2 side3
            global side4 side5 side6 side7
            set ss side1
            set tt $side2
            set xxx [ expr { $side4*[pi]/180.  } ]
            set side5  [ expr { ((1.*$side1*$side2)/(1.*$side3-1.*$side4))+$side1} ]
            set side6  [ expr { ((1.*$side1*$side2)/(1.*$side3-1.*$side4))+$side1} ]
            set side7  [ expr { ((1.*$side1*$side2)/(1.*$side3-1.*$side4))+$side1} ]
            set side7  [ expr { $side7*.001} ]
            return $side7
        }
        proc calculate {     } {
            global answer2  
            global side1 side2 side3 side4 side5 side6 side7
            set answer2  [ seaisland5  $side1     ]
            set side7 $answer2
        }
        proc fillup {aa bb cc dd ee ff gg} {
            .frame.entry1 insert 0 "$aa"
            .frame.entry2 insert 0 "$bb"
            .frame.entry3 insert 0 "$cc"
            .frame.entry4 insert 0 "$dd"
            .frame.entry5 insert 0 "$ee"
            .frame.entry6 insert 0 "$ff "
            .frame.entry7 insert 0 "$gg "
        }
        proc clearx {} {
            foreach i {1 2 3 4 5 6 7} {
                .frame.entry$i delete 0 end
            }
        }
        proc reportx {} {
            console show;
            puts " "
        }
        frame .buttons -bg aquamarine4
        ::ttk::button .calculator -text "Solve" -command { calculate   }
        ::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 30. 6000. 762. 738.  7530. 7530. 7530.}
        ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 30. 6000. 762. 738.  7530. 7530. 7530.}
        ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 30. 6000. 762. 738.  7530. 7530. 7530. }
        ::ttk::button .clearallx -text clear -command {clearx  }
        ::ttk::button .about -text about -command about
        ::ttk::button .cons -text report -command { reportx }
        ::ttk::button .exit -text exit -command {exit}
        pack .calculator  -in .buttons -side top -padx 10 -pady 5
        pack  .clearallx .cons .about .exit .test4 .test3  .test2   -side bottom -in .buttons
        grid .frame .buttons -sticky ns -pady {0 10}
        . configure -background aquamarine4 -highlightcolor brown -relief raised -border 30
        wm title . "Sea Island Height"
======

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**Comments Section**
Please place any comments here, Thanks.
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