@@ -324,7 +324,7 @@ <h3 itemprop="name">Numeric Systems</h3>
324324< summary > < h3 itemprop ="name "> 2. Equations</ h3 > </ summary >
325325< br >
326326< br >
327- < section itemprop ="about "itemscope itemtype ="http://schema.org/LearningResource ">
327+ < section itemprop ="about " itemscope itemtype ="http://schema.org/LearningResource ">
328328< h4 itemprop ="name "> = Equation</ h4 >
329329< br >
330330< p itemprop ="description "> The numbers or expressions of one side equal in value to the other side.
@@ -694,7 +694,7 @@ <h3 itemprop="name">Dividing Fractions</h3>
694694< br >
695695< br >
696696< br >
697- < section itemprop ="subjectOf " itemscope itemtype ="http://schema.org/LearningResource " id ="geometry "" >
697+ < section itemprop ="subjectOf " itemscope itemtype ="http://schema.org/LearningResource " id ="geometry ">
698698< h3 style ="margin:7px " itemprop ="name "> The 2nd and the 3rd Powers manifesting in Geometry</ h3 >
699699< br >
700700< section id ="square ">
@@ -733,7 +733,6 @@ <h3 style="margin:7px">Area of a Square</h3>
733733 </ mrow >
734734 </ mrow >
735735 </ math >
736- </ div >
737736</ section >
738737< br >
739738< br >
@@ -805,8 +804,8 @@ <h3 style="margin:7px" itemprop="eduQuestionType">Area of a Triangle</h3>
805804< br >
806805The square root of half of the area of the rectangle is the side length of the theoretical square that has the same area as the triangle.</ p >
807806< br >
808- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
809- < math display ="block " itemprop =" mathExpression " xmlns =" http://www.w3.org/1998/Math/MathML " >
807+ < div itemprop ="result ">
808+ < math display ="block ">
810809 < mrow >
811810 < mi > A</ mi >
812811< mo > =</ mo >
@@ -827,8 +826,8 @@ <h3 style="margin:7px" itemprop="eduQuestionType">Area of a Triangle</h3>
827826< br >
828827< p itemprop ="description " style ="margin:12px "> The area of a triangle can also be calculated by the length of its sides.</ p >
829828< br >
830- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
831- < math < p style ="margin:12px "> xmlns="http://www.w3.org/1998/Math/MathML" >
829+ < div itemprop ="result ">
830+ < math style ="margin:12px "> xmlns="http://www.w3.org/1998/Math/MathML">
832831< mrow >
833832< mi > S</ mi >
834833 < mo > =</ mo >
@@ -861,7 +860,7 @@ <h3 style="margin:7px" itemprop="eduQuestionType">Area of a Triangle</h3>
861860</ math >
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863862< br >
864- < math itemprop =" mathExpression " display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
863+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
865864 < mrow >
866865 < mi > A</ mi >
867866< mo > =</ mo >
@@ -1655,8 +1654,8 @@ <h3 itemprop="eduQuestionType" style="margin:7px">Area of a regular Polygon</h3>
16551654</ math >
16561655</ div >
16571656< br >
1658- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
1659- < math itemprop =" mathExpression " display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
1657+ < div itemprop ="result ">
1658+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
16601659 < mrow >
16611660< mi > A</ mi >
16621661< mo > =</ mo >
@@ -2306,8 +2305,8 @@ <h3 itemprop="eduQuestionType" style="margin:7px">Area of a Circle</h3>
23062305</ section >
23072306< p style ="margin:12px " 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.</ p >
23082307< br >
2309- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
2310- < math itemprop =" mathExpression " display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
2308+ < div itemprop ="result ">
2309+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
23112310< mrow >
23122311< mi > A</ mi >
23132312< mo > =</ mo >
@@ -2365,7 +2364,7 @@ <h3 itemprop="eduQuestionType" style="margin:7px">Area of a Circle</h3>
23652364< br >
23662365< section itemprop ="potentialAction " itemscope itemtype ="https://schema.org/SolveMathAction " id ="circumference " itemref ="circle ">
23672366< h3 itemprop ="eduQuestionType " style ="margin:7px "> Circumference of a Circle</ h3 >
2368- < meta itemprop ="target " content ="https://basic-geometry.github.io?q={circle_radius=1_circumference=? " } ">
2367+ < meta itemprop ="target " content ="https://basic-geometry.github.io?q={circle_radius=1_circumference=?} ">
23692368< br >
23702369< figure itemprop ="image " class ="imgbox " itemscope itemtype ="http://schema.org/ImageObject ">
23712370 < img class ="center-fit " src ="circumference.jpg " alt ="The circumference of a circle is derived from its area algebraically by subtracting a smaller circle and dividing the difference by the difference of the radii. Circumference = 6.4r ">
@@ -2873,8 +2872,8 @@ <h4>A Rational Alternative: 3.2</h4>
28732872< p style ="margin:12px " itemprop ="description "> The length of the circumference approaches 6.4 × radius as its thickness approaches 0.
28742873</ p >
28752874< br >
2876- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
2877- < math display ="block " itemprop =" mathExpression " xmlns ="http://www.w3.org/1998/Math/MathML ">
2875+ < div itemprop ="result ">
2876+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
28782877< mrow >
28792878< mi > C</ mi >
28802879< mo > =</ mo >
@@ -2887,8 +2886,8 @@ <h4>A Rational Alternative: 3.2</h4>
28872886< br >
28882887< p style ="margin:12px " itemprop ="description "> In calculus terms:</ p >
28892888< br >
2890- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
2891- < math display ="block " itemprop =" mathExpression " xmlns ="http://www.w3.org/1998/Math/MathML ">
2889+ < div itemprop ="result ">
2890+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
28922891 < mrow >
28932892 < mi > C</ mi >
28942893 < mo > =</ mo >
@@ -2995,8 +2994,8 @@ <h3 itemprop="eduQuestionType" style="margin:7px">Area of a Circle Segment</h3>
29952994</ math >
29962995< br >
29972996< br >
2998- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
2999- < math display ="block " itemprop =" mathExpression " xmlns ="http://www.w3.org/1998/Math/MathML ">
2997+ < div itemprop ="result ">
2998+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
30002999 < mrow >
30013000 < mi > A</ mi >
30023001 < mo > =</ mo >
@@ -3144,8 +3143,8 @@ <h3 itemprop="eduQuestionType" style="margin:7px">Surface Area of a Cone</h3>
31443143< br >
31453144< p style ="margin:12px " itemprop ="description "> The surface area of a cone is calculated as a circle slice with a radius equal to the slant height and the angle given by the ratio between the height and the slant height.</ p >
31463145< br >
3147- < div style ="margin:12px " itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
3148- < math display ="block " itemprop =" mathExpression " xmlns ="http://www.w3.org/1998/Math/MathML " >
3146+ < div style ="margin:12px " itemprop ="result ">
3147+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML " >
31493148< mrow >
31503149< msub >
31513150< mi > A</ mi >
@@ -3242,8 +3241,8 @@ <h3 itemprop="eduQuestionType" style="margin:7px">Volume of a Sphere</h3>
32423241</ section >
32433242< p style ="margin:12px " itemprop ="description "> The volume of a sphere equals the cubic value of the square root of its cross-sectional area, just like a cube.</ p >
32443243< br >
3245- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
3246- < math display ="block " itemprop =" mathExpression " xmlns ="http://www.w3.org/1998/Math/MathML ">
3244+ < div itemprop ="result ">
3245+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
32473246< mrow >
32483247 < mi > V</ mi >
32493248< mo > =</ mo >
@@ -3356,8 +3355,8 @@ <h3 itemprop="eduQuestionType" style="margin:7px">Volume of a Spherical Cap</h3>
33563355 < br >
33573356< p style ="margin:12px " itemprop ="description "> One dimension of the volume of sphere formula can be adjusted to calculate the volume of a spherical cap as a distorted hemisphere.</ p >
33583357< br >
3359- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
3360- < math itemprop =" mathExpression " display ="block " xmlns ="http://www.w3.org/1998/Math/MathML " >
3358+ < div itemprop ="result ">
3359+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML " >
33613360< mrow >
33623361 < mi > V</ mi >
33633362 < mo > =</ mo >
@@ -3751,8 +3750,8 @@ <h4 itemprop="description">The volume of a cone can be calculated by algebraical
37513750</ math >
37523751</ div >
37533752< br >
3754- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver "" >
3755- < math display ="block " itemprop =" mathExpression " xmlns ="http://www.w3.org/1998/Math/MathML " >
3753+ < div itemprop ="result ">
3754+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
37563755< mrow >
37573756< msub >
37583757< mi > V</ mi >
@@ -3857,8 +3856,8 @@ <h3 itemprop="eduQuestionType" style="margin:7px">Volume of a Frustum Cone</h3>
38573856</ math >
38583857</ div >
38593858< br >
3860- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
3861- < math display ="block " itemprop =" mathExpression " xmlns ="http://www.w3.org/1998/Math/MathML ">
3859+ < div itemprop ="result ">
3860+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
38623861 < mrow >
38633862 < mi > V</ mi >
38643863 < mo > =</ mo >
@@ -4104,8 +4103,8 @@ <h4 itemprop="description" style="margin:12px">The volume of a pyramid can be ca
41044103 </ figure >
41054104< br >
41064105< br >
4107- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
4108- < math display ="block " itemprop =" mathExpression " xmlns ="http://www.w3.org/1998/Math/MathML ">
4106+ < div itemprop ="result ">
4107+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
41094108< mrow >
41104109< mi > V</ mi >
41114110< mo > =</ mo >
@@ -4319,7 +4318,7 @@ <h3 itemprop="eduQuestionType" style="margin:12px">Volume of a horizontal Frustu
43194318< br >
43204319< section itemprop ="potentialAction " itemscope itemtype ="https://schema.org/SolveMathAction " id ="square_frustum " itemref ="pyramid ">
43214320< h3 itemprop ="eduQuestionType " style ="margin:12px "> Volume of a horizontal square Frustum Pyramid</ h3 >
4322- < meta itemprop ="target " content ="https://basic-geometry.github.io?q={square_frustum_pyramid_height=3_edge_length_top=1_bottom=2_volume=? " } ">
4321+ < meta itemprop ="target " content ="https://basic-geometry.github.io?q={square_frustum_pyramid_height=3_edge_length_top=1_bottom=2_volume=?} ">
43234322< br >
43244323< figure class ="imgbox ">
43254324 < img class ="center-fit " src ="squareFrustum.jpeg " alt ="Square frustum pyramid ">
@@ -4355,8 +4354,8 @@ <h3 itemprop="eduQuestionType" style="margin:12px">Volume of a horizontal square
43554354</ math >
43564355</ div >
43574356< br >
4358- < div itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver " >
4359- < math display ="block " itemprop =" mathExpression " xmlns ="http://www.w3.org/1998/Math/MathML ">
4357+ < div itemprop ="result ">
4358+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
43604359< mrow >
43614360< mi > V</ mi >
43624361< mo > =</ mo >
@@ -4628,8 +4627,8 @@ <h3 itemprop="eduQuestionType" style="margin:7px">Volume of a Tetrahedron</h3>
46284627</ p >
46294628</ div >
46304629< br >
4631- < div style =" margin:12px " itemprop ="result " itemscope itemtype =" https://schema.org/MathSolver ">
4632- < math itemprop =" mathExpression " display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
4630+ < div itemprop ="result ">
4631+ < math display ="block " xmlns ="http://www.w3.org/1998/Math/MathML ">
46334632 < mrow >
46344633 < mi > V</ mi >
46354634 < mo > =</ mo >
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