Development that shows different types of calculations

Question

I need help to assemble a page, program or application that does the following topics of mathematical fundamentals and shows the calculations that the program did.

• Transposition of Object
• Rotation of Object
• Object Increase (independent width and height)
• Object mirroring (from different angles)
• Object shear (from different points)

I made a simple screen that make some of the movements, but does not show the calculations and does not do the shear nor the mirroring of different angles.

I put together the codes I made in one to make the visualization simpler

    $("#top").click(function() {
        $("#content").animate( {"top": "-=25px"}, "fast");
    });

    $("#bottom").click(function() {
        $("#content").animate( {"top": "+=20px"}, "fast");
    });

    $("#right").click(function() {
        $("#content").animate( 
            {
                "left": "+=15px"
            }, "fast");
    });

    $("#left").click(function() {
        $("#content").animate( {"left": "-=50px"}, "fast");
    });

    $("#aumentar").click(function() {
        $("#content").animate( 
        {
            "height": "+=10px",
            "width": "+=10px"
        }, "fast");
    });

    $("#diminuir").click(function() {
        $("#content").animate( 
            {
                "height": "-=10px",
                "width": "-=10px"
            }, "fast");
    });

    var rotation = 0;

    jQuery.fn.movimento = function(degrees) {
        $(this).css({'-webkit-transform' : 'rotate('+ degrees +'deg)',
                     '-moz-transform' : 'rotate('+ degrees +'deg)',
                     '-ms-transform' : 'rotate('+ degrees +'deg)',
                     'transform' : 'rotate('+ degrees +'deg)'});
    };

    $('#girar').click(function() {
        rotation += 5;
        $(content).movimento(rotation);
    });

    jQuery.fn.movimento2 = function(degrees) {
        $(this).css({'-webkit-transform' : 'rotate('+ degrees +'deg)',
                     '-moz-transform' : 'rotate('+ degrees +'deg)',
                     '-ms-transform' : 'rotate('+ degrees +'deg)',
                     'transform' : 'rotate('+ degrees +'deg)'});
    };

    $('#regirar').click(function() {
        rotation -= 5;
        $(content).movimento2(rotation);
    });



    $("#top2").click(function() {
        $("#content2").animate( {"top": "-=25px"}, "fast");
    });

    $("#bottom2").click(function() {
        $("#content2").animate( {"top": "+=20px"}, "fast");
    });

    $("#right2").click(function() {
        $("#content2").animate( 
            {
                "left": "+=15px"
            }, "fast");
    });

    $("#left2").click(function() {
        $("#content2").animate( {"left": "-=50px"}, "fast");
    });

    $("#aumentar2").click(function() {
        $("#content2").animate( 
        {
            "height": "+=10px",
            "width": "+=10px"
        }, "fast");
    });

    $("#diminuir2").click(function() {
        $("#content2").animate( 
            {
                "height": "-=10px",
                "width": "-=10px"
            }, "fast");
    });

    var rotation = 0;

    jQuery.fn.movimento = function(degrees) {
        $(this).css({'-webkit-transform' : 'rotate('+ degrees +'deg)',
                     '-moz-transform' : 'rotate('+ degrees +'deg)',
                     '-ms-transform' : 'rotate('+ degrees +'deg)',
                     'transform' : 'rotate('+ degrees +'deg)'});
    };

    $('#girar2').click(function() {
        rotation += 5;
        $(content2).movimento(rotation);
    });

    jQuery.fn.movimento2 = function(degrees) {
        $(this).css({'-webkit-transform' : 'rotate('+ degrees +'deg)',
                     '-moz-transform' : 'rotate('+ degrees +'deg)',
                     '-ms-transform' : 'rotate('+ degrees +'deg)',
                     'transform' : 'rotate('+ degrees +'deg)'});
    };

    $('#regirar2').click(function() {
        rotation -= 5;
        $(content2).movimento2(rotation);
    });

html, body, div, span, applet, object, iframe,
h1, h2, h3, h4, h5, h6, p, blockquote, pre,
a, abbr, acronym, address, big, cite, code,
del, dfn, em, img, ins, kbd, q, s, samp,
small, strike, strong, sub, sup, tt, var,
b, u, i, center,
dl, dt, dd, ol, ul, li,
fieldset, form, label, legend,
table, caption, tbody, tfoot, thead, tr, th, td,
article, aside, canvas, details, embed, 
figure, figcaption, footer, header, hgroup, 
menu, nav, output, ruby, section, summary,
time, mark, audio, video {
    margin: 0;
    padding: 0;
    border: 0;
    font-size: 100%;
    font: inherit;
    vertical-align: baseline;
}
/* HTML5 display-role reset for older browsers */
article, aside, details, figcaption, figure, 
footer, header, hgroup, menu, nav, section {
    display: block;
}
body {
    line-height: 1;
    background-color: #ededed
}
ol, ul {
    list-style: none;
}
blockquote, q {
    quotes: none;
}
blockquote:before, blockquote:after,
q:before, q:after {
    content: '';
    content: none;
}
table {
    border-collapse: collapse;
    border-spacing: 0;
}

#content {
    background-color: #6688ff;
    position: relative;
    width: 50px;
    height: 50px;
    border-radius: 20px;
    padding: 3px;
    text-indent: -99999;
    left: 100;
    float:left;
    top: 20px;
}

#content2 {
    background-color: #bd0000;
    position: relative;
    width: 40px;
    height: 40px;
    padding: 3px;
    left: 300px;
    z-index: -9;
    border-radius: 5px;
    text-indent: -99999;
    float:left;
    top: 60px;
}

.controles{
    border: 0px solid #333;
    float: left;
    padding: 10px 0px;
    width: 100%;
    text-align: center;

}

.btn{
    border: 1px solid #6688ff;
    background-color: #6688ff;
    color: #ffffff;
    padding: 5px 10px;
    border-radius: 5px;
    font-weight: bold;
    text-transform: capitalize;
    font-size: 12px;
}

.btn2{
    border: 1px solid #bd0000;
    background-color: #bd0000;
    color: #ffffff;
    padding: 5px 10px;
    border-radius: 5px;
    font-weight: bold;
    text-transform: capitalize;
    font-size: 12px;
}

.terreno{
    border: 1px solid #ccc;
    width: 95%;
    height: auto;
    background-color: #ffffff;
    min-height: 75%;
    position: relative;
    z-index: -99999;
    overflow: hidden;
    margin: 0px auto;
}

.rotate {
    background: #F02311;
    color: #FFF;
    width: 200px;
    height: 200px;
    text-align: center;
    font: normal 1em Arial;
    position: relative;
    top: 50px;
    left: 50px;
}

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div class="controles">
            <input type="button" id="left" value="Esquerda" class="btn">
            <input type="button" id="right" value="Direita" class="btn">
            <input type="button" id="bottom" value="Baixo" class="btn">
            <input type="button" id="top" value="Topo" class="btn">
        </div>

        <div class="controles">
            <input type="button" id="aumentar" value="Aumentar" class="btn">
            <input type="button" id="diminuir" value="Diminuir" class="btn">
            <input type="button" id="girar" value="Girar Esquerda" class="btn">
            <input type="button" id="regirar" value="Girar Direita" class="btn">
        </div>

        <div class="controles">
            <input type="button" id="left2" value="Esquerda" class="btn2">
            <input type="button" id="bottom2" value="Baixo" class="btn2">
            <input type="button" id="top2" value="Topo" class="btn2">
            <input type="button" id="right2" value="Direita" class="btn2">
        <div>

        <div class="controles">
            <input type="button" id="aumentar2" value="Aumentar" class="btn2">
            <input type="button" id="diminuir2" value="Diminuir" class="btn2">
            <input type="button" id="girar2" value="Girar Esquerda" class="btn2">
            <input type="button" id="regirar2" value="Girar Direita" class="btn2">
        </div>

        <div class="terreno">
            <div id="content">Objeto 1</div>
            <div id="content2" class="content2" >Objeto 2</div>
        </div>