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index.html

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@@ -576,7 +576,7 @@ <h2 style="font-size:160%;margin:7px;">Exact Geometry Formulas</h2>
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<p style="font-size:160%;margin:7px;">Area of a square</p>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="square.png" alt="Square figure" id="square">
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<img class="center-fit" src="square.png" alt="figure-Square" id="square">
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</div>
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<br>
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<p style="margin:12px;">
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<p style="font-size:160%;margin:7px;">Volume of a cube</p>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="cubeMarkup.jpeg" alt="Cube figure" id="cube">
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<img class="center-fit" src="cubeMarkup.jpeg" alt="figure-Cube" id="cube">
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</div>
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<p style="margin:12px;">A cuboid is a 3 dimensional solid shape. Its measurable properties are width, length and height. The volume of a cuboid is a simple multiplication of the edges, width × length × height. The cubic root of the product of the edges is the edge length of the theoretical cube that has the same volume as the cuboid.
@@ -647,7 +647,7 @@ <h2 style="font-size:160%;margin:7px;">Exact Geometry Formulas</h2>
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<p style="font-size:160%;margin:7px">Trigonometry</p>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="trigonometry.png" alt="Trigonometry figure" id="trigonometry">
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<img class="center-fit" src="trigonometry.png" alt="figure-Trigonometry" id="trigonometry">
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</div>
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<br>
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<div>
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</div>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="pentagon.png" alt="Pentagon" id="pentagon">
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<img class="center-fit" src="pentagon.png" alt="figure-Polygon-area" id="polygon">
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</div>
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<br>
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<p style="margin:12px;">A regular polygon can be divided into as many isosceles triangles as many sides it has.
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</div>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="areaOfACircle.jpg" alt="Circle" id="circle">
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<img class="center-fit" src="areaOfACircle.jpg" alt="figure-Circle-area=3.2r²" id="circle">
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</div>
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<br>
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<p style="margin:12px;" >
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</div>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="circleSegment.jpg" alt="Circle-segment" id="segment">
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<img class="center-fit" src="circleSegment.jpg" alt="figure-Circle-segment" id="segment">
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</div>
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<br>
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<p style="margin:12px;">The area of a circle segment can be
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</div>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="circumference.jpg" alt="Circle" id="circumference">
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<img class="center-fit" src="circumference.jpg" alt="figure-Circumference=6.4r" id="circumference">
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</div>
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<br>
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<p style="margin:12px;">The circumference of a circle can be derived
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The length of the two longer sides is the area of the resulting ring divided by x.
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</p>
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<br>
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<math style="margin:12px;" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow>
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<mi>C</mi>
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</div>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="sphereAndCubeMarkup.jpeg" alt="Sphere" id="sphere">
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<img class="center-fit" src="sphereAndCubeMarkup.jpeg" alt="figure-Sphere-volume=(√(3.2)r)³" id="sphere">
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</div>
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<p style="margin:12px;">The volume of a sphere is defined by comparing it to a cube, since that is the base of volume calculation.
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</div>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="sphericalCap.jpg" alt="Sphere" id="cap">
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<img class="center-fit" src="sphericalCap.jpg" alt="figure-Spherical-cap" id="cap">
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</div>
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<p style="margin:12px;">One dimension of the volume of sphere formula can be modified to calculate the volume of a spherical cap as a distorted hemisphere.
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</div>
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<br>
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<div class="imgbox">
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<img class="center-fit" src="coneAndSphereMarkup.jpeg" alt="Cone-and-sphere" id="cone">
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<img class="center-fit" src="coneAndSphereMarkup.jpeg" alt="Cone-volume-from-sphere=base×height/√8" id="cone">
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</div>
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<p style="margin:12px;">The volume of a cone can be calculated by algebraically comparing the volume of a quarter cone with equal radius and height to an octant sphere with equal radius, through a quarter cylinder.
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<p style="margin:12px;">The volume of a cone can be calculated by algebraically comparing the volume of a vertical quadrant of a cone with equal radius and height to an octant sphere with equal radius, through a quarter cylinder.
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</p>
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<div class="imgbox">
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<img class="center-fit" src="octantSphereQuarterCone.jpeg" alt="Sphere-and-vertical-frustum-cone">
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<img class="center-fit" src="octantSphereQuarterCone.jpeg" alt="figure-Sphere-and-vertical-frustum-cone">
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</div>
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<math style="margin:12px;" xmlns="http://www.w3.org/1998/Math/MathML" >
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</p>
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<div class="imgbox">
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<img class="center-fit" src="coneAndSphereComparison.png" alt="Sphere-and-cone-projection">
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<img class="center-fit" src="coneAndSphereComparison.png" alt="figure-Sphere-and-cone-projection">
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</div>
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<img class="center-fit" src="sphereAndConeMarkup.jpeg" alt="Sphere-and-cone">
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<img class="center-fit" src="sphereAndConeMarkup.jpeg" alt="figure-Sphere-and-cone">
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</div>
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<math style="margin:12px;" xmlns="http://www.w3.org/1998/Math/MathML" >
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</div>
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<div class="imgbox">
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<img class="center-fit" src="frustumOfConeMarkup.png" alt="Horizontal-frustum-cone">
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<img class="center-fit" src="frustumOfConeMarkup.png" alt="figure-Horizontal-frustum-cone">
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<p style="margin:12px;">The volume of a frustum cone can be calculated by subtracting the missing tip from a theoretical full cone.
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<div class="imgbox">
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<img class="center-fit" src="coneMarkup.jpeg" alt="Cone" id="coneSurface">
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<img class="center-fit" src="coneMarkup.jpeg" alt="figure-Cone-surface" id="coneSurface">
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</div>
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<math style="margin:12px;" xmlns="http://www.w3.org/1998/Math/MathML" >
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<div class="imgbox">
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<img class="center-fit" src="conePyramidVolumeMarkup.jpeg" alt="Pyramids" id="pyramid">
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<img class="center-fit" src="conePyramidVolumeMarkup.jpeg" alt="figure-Pyramids-volume=base×height/√8" id="pyramid">
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<img class="center-fit" src="tetraFrame.jpeg" alt="Tetrahedral-frame-on-circular-base" >
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<img class="center-fit" src="tetraFrame.jpeg" alt="figure-Tetrahedral-frame-on-circular-base" >
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<p style="margin:12px;">The volume of a pyramid can be calculated
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<div class="imgbox">
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<img class="center-fit" src="frustumOfPyramidMarkup.png" alt="Horizontal-frustum-pyramid">
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<img class="center-fit" src="frustumOfPyramidMarkup.png" alt="figure-Horizontal-frustum-pyramid">
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<img class="center-fit" src="tetrahedronMarkup.jpeg" alt="Tetrahedron" id="tetrahedron">
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<img class="center-fit" src="tetrahedronMarkup.jpeg" alt="figure-Tetrahedron-volume=edge³/8" id="tetrahedron">
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