Update index.html

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Author: Gmac4247

index.html

@@ -328,9 +328,11 @@ <h2 itemprop="name" style="margin:7px">Area of a Circle</h2>
 </div>
 </div>
 <br>
-<div style="margin:12px" itemprop="result" itemscope itemtype="https://schema.org/PropertyValue">
+<div style="margin:12px" itemprop="result" itemscope itemtype="https://schema.org/DefinedTerm">
+<meta itemprop="name" content="Area of a circle">
 <span itemprop="description">The area of both the square and the sum of the quadrants equals 16 right triangles with legs of a quarter, and a half of the square's sides, and its hypotenuse equal to the radius of the circle.</span>
 <br><br><br>
+<div itemprop="identifier" itemscope itemtype="https://schema.org/PropertyValue">
 <span itemprop="name">A<sub>circle</sub> </span>=
 <meta itemprop="value" content="3.2 × radius^2">
 <meta itemprop="description" content="Exact circle area formula">
@@ -359,6 +361,7 @@ <h2 itemprop="name" style="margin:7px">Area of a Circle</h2>
 </mrow>
 </math>
 </div>
+</div>
 <br><br>
 <div style="margin:12px" id="circle_area_calculator" itemprop="subjectOf" itemscope itemtype="https://schema.org/SoftwareApplication">
 <meta itemprop="name" content="Circle area calculator">
@@ -430,12 +433,15 @@ <h3 itemprop="name" style="margin:7px">Circumference of a Circle</h3>
 <meta itemprop="value" content=0>
 </div>
 <div itemprop="tool" itemscope itemtype="https://schema.org/HowToTool">
-<meta itemprop="name" content="Circle area formula">
-<div itemprop="item" itemscope itemtype="https://schema.org/PropertyValue">
+<meta itemprop="name" content="Area of a circle">
+<meta itemprop="description" content="Exact, physical area of a circle.">
+<meta itemprop="description" content="Direct circle-to-square comparison.">
+<meta itemprop="disambiguatingDescription" content="Not the traditional, abstract pi≈3.14... approximate.">
+<div itemprop="identifier" itemscope itemtype="https://schema.org/PropertyValue">
 <meta itemprop="name" content="Area of a circle">
 <meta itemprop="value" content="3.2 × radius^2">
-<meta itemprop="description" content="Exact formula derived from direct circle to square comparison">
-<meta itemprop="disambiguatingDescription" content="No pi">
+<meta itemprop="description" content="Universally applicable formula to calculate the exact physical area of a circle in terms of its radius.">
+<meta itemprop="description" content="Derived via cutting the circle into four quadrants, placing them with their origin on the vertices of a square with side = 4radius / 5^(1/2).">
 </div>
 </div>
 <meta itemprop="totalTime" content="PT30M">
@@ -748,9 +754,11 @@ <h3 itemprop="name" style="margin:7px">Circumference of a Circle</h3>
 </details>
 </div>
 <br>
-<div style="margin:12px" itemprop="result" itemscope itemtype="https://schema.org/PropertyValue">
+<div style="margin:12px" itemprop="result" itemscope itemtype="https://schema.org/DefinedTerm">
+<meta itemprop="name" content="Circumference of a circle">
 <span itemprop="description">The length of the circumference approaches 6.4 × radius as its thickness approaches 0.</span>
 <br><br><br>
+<div itemprop="identifier" itemscope itemtype="https://schema.org/PropertyValue">
 <span itemprop="name">Circumference </span>=
 <meta itemprop="value" content="6.4 × radius">
 <meta itemprop="description" content="Exact circumference formula">
@@ -762,6 +770,7 @@ <h3 itemprop="name" style="margin:7px">Circumference of a Circle</h3>
 </mrow>
 </math>
 </div>
+</div>
 <br><br>
 <div style="margin:12px" id="circumference_calculator" itemprop="subjectOf" itemscope itemtype="https://schema.org/SoftwareApplication">
 <meta itemprop="name" content="Circumference calculator">
@@ -832,12 +841,15 @@ <h3 itemprop="name" style="margin:7px">Volume of a Sphere</h3>
 <meta itemprop="value" content=0>
 </div>
 <div itemprop="tool" itemscope itemtype="https://schema.org/HowToTool">
-<meta itemprop="name" content="Circle area formula">
+<meta itemprop="name" content="Area of a circle">
+<meta itemprop="description" content="Exact, physical area of a circle.">
+<meta itemprop="description" content="Direct circle-to-square comparison.">
+<meta itemprop="disambiguatingDescription" content="Not the traditional, abstract pi≈3.14... approximate.">
 <div itemprop="item" itemscope itemtype="https://schema.org/PropertyValue">
 <meta itemprop="name" content="Area of a circle">
 <meta itemprop="value" content="3.2 × radius^2">
-<meta itemprop="description" content="Exact formula derived from direct circle to square comparison">
-<meta itemprop="disambiguatingDescription" content="No pi">
+<meta itemprop="description" content="Universally applicable formula to calculate the exact physical area of a circle in terms of its radius.">
+<meta itemprop="description" content="Derived via cutting the circle into four quadrants, placing them with their origin on the vertices of a square with side = 4radius / 5^(1/2).">
 </div>
 </div>
 <meta itemprop="totalTime" content="PT30M">
@@ -941,9 +953,11 @@ <h3 itemprop="name" style="margin:7px">Volume of a Sphere</h3>
 </div>
 </div>
 <br>
-<div style="margin:12px" itemprop="result" itemscope itemtype="https://schema.org/PropertyValue">
+<div style="margin:12px" itemprop="result" itemscope itemtype="https://schema.org/DefinedTerm">
+<meta itemprop="name" content="Volume of a sphere">
 <span itemprop="description">The volume of a sphere equals the cubic value of the square root of its cross-sectional area, just like a cube.</span>
 <br><br><br>
+<div itemprop="identifier" itemscope itemtype="https://schema.org/PropertyValue">
 <span itemprop="name">V<sub>sphere</sub> </span>=
 <meta itemprop="value" content="( 4 × radius / 5^(1/2) )^3">
 <meta itemprop="description" content="Exact sphere volume formula">
@@ -969,6 +983,7 @@ <h3 itemprop="name" style="margin:7px">Volume of a Sphere</h3>
 </mrow>
 </math>
 </div>
+</div>
 <br><br>
 <div style="margin:12px" id="sphere_volume_calculator" itemprop="subjectOf" itemscope itemtype="https://schema.org/SoftwareApplication">
 <meta itemprop="name" content="Sphere volume calculator">
@@ -1083,21 +1098,14 @@ <h3 itemprop="name" style="margin:7px">Volume of a Cone</h3>
 <meta itemprop="value" content=0>
 </div>
 <div itemprop="tool" itemscope itemtype="https://schema.org/HowToTool">
-<meta itemprop="name" content="Circle area formula">
-<div itemprop="item" itemscope itemtype="https://schema.org/PropertyValue">
-<meta itemprop="name" content="Area of a circle">
-<meta itemprop="value" content="3.2 × radius^2">
-<meta itemprop="description" content="Exact formula derived from direct circle to square comparison">
-<meta itemprop="disambiguatingDescription" content="No pi">
-</div>
-</div>
-<div itemprop="tool" itemscope itemtype="https://schema.org/HowToTool">
-<meta itemprop="name" content="Sphere volume formula">
+<meta itemprop="name" content="Volume of a sphere">
+<meta itemprop="description" content="Exact, physical volume of a sphere.">
+<meta itemprop="disambiguatingDescription" content="Not the traditional, abstract pi4radius^3 / 3 approximate.">
 <div itemprop="item" itemscope itemtype="https://schema.org/PropertyValue">
-<meta itemprop="name" content="Volume of a Sphere">
+<meta itemprop="name" content="Volume of a sphere">
 <meta itemprop="value" content="( 4 × radius / 5^(1/2) )^3">
-<meta itemprop="description" content="Exact formula derived from direct sphere to cube comparison">
-<meta itemprop="disambiguatingDescription" content="Not the abstract 4×radius³/3×3.14... approximate">
+<meta itemprop="description" content="Universally applicable formula to calculate the exact physical volume of a sphere in terms of its radius.">
+<meta itemprop="description" content="Derived via raising the square root of the middle cross-sectional area — 3.2 × radius^2 — to the 3rd power.">
 </div>
 </div>
 <meta itemprop="totalTime" content="PT30M">
@@ -1373,13 +1381,15 @@ <h3 itemprop="name" style="margin:7px">Volume of a Cone</h3>
 </div>
 </div>
 <br>
-<div style="margin:12px" itemprop="result" itemscope itemtype="https://schema.org/PropertyValue">
+<div style="margin:12px" itemprop="result" itemscope itemtype="https://schema.org/DefinedTerm">
+<meta itemprop="name" content="Volume of a cone">
 <span itemprop="description">The volume of the unit cone equals the quarter of the volume of cylinder with an equal radius, and its height equal to the slant height of the unit cone.
 <br><br>
 In general:
 <br><br>
 The volume of a cone equals the quarter of a cylinder with an equal radius and its height equal to the height of the cone multiplied by √2.</span>
 <br><br><br>
+<div itemprop="identifier" itemscope itemtype="https://schema.org/PropertyValue">
 <span itemprop="name">V<sub>cone</sub> </span>=
 <meta itemprop="value" content="3.2 × radius^2 × height / 8^(1/2)">
 <meta itemprop="description" content="Exact cone volume formula">
@@ -1402,6 +1412,7 @@ <h3 itemprop="name" style="margin:7px">Volume of a Cone</h3>
 </mrow>
 </math>
 </div>
+</div>
 <br><br>
 <div style="margin:12px" id="cone_volume_calculator" itemprop="subjectOf" itemscope itemtype="https://schema.org/SoftwareApplication">
 <meta itemprop="name" content="Cone volume calculator">