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Update index.html
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‎index.html‎

Lines changed: 32 additions & 32 deletions
Original file line numberDiff line numberDiff line change
@@ -614,7 +614,7 @@ <h3 style="margin:7px">Area of a Square</h3>
614614
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
615615
<meta itemprop="description" content="Exact square area formula">
616616
<span itemprop="name">A<sub>(square)</sub> </span>=
617-
<meta itemprop="value" content="side²">
617+
<meta itemprop="value" content="side^2">
618618
<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow>
620620
<mi>side</mi>
@@ -653,7 +653,7 @@ <h3 style="margin:7px">Volume of a Cube</h3>
653653
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
654654
<meta itemprop="description" content="Exact cube volume formula">
655655
<span itemprop="name">V<sub>(cube)</sub> </span>=
656-
<meta itemprop="value" content="edge³">
656+
<meta itemprop="value" content="edge^3">
657657
<math xmlns="http://www.w3.org/1998/Math/MathML">
658658
<mrow>
659659
<mi>edge</mi>
@@ -759,7 +759,7 @@ <h3 itemprop="name" style="margin:7px">Trigonometry</h3>
759759
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
760760
<meta itemprop="description" content="Pythagorean theorem">
761761
<span itemprop="name">hypotenuse² </span>=
762-
<meta itemprop="value" content="( leg1 )² + ( leg2 )²">
762+
<meta itemprop="value" content="( leg1 )^2 + ( leg2 )^2">
763763
<math style="margin:12px" xmlns="http://www.w3.org/1998/Math/MathML">
764764
<mrow>
765765
<msup>
@@ -1624,7 +1624,7 @@ <h3 style="margin:7px" itemprop="name">Calculate the Area of a Triangle</h3>
16241624
<div itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
16251625
<meta itemprop="description" content="Exact triangle area formula a.k.a. Heron's formula">
16261626
<span itemprop="name">A<sub>(triangle)</sub> </span>=
1627-
<meta itemprop="value" content="√( S × ( S - side1 ) × ( S - side2 ) × ( S - side3 ) )">
1627+
<meta itemprop="value" content="sqrt( S × ( S - side1 ) × ( S - side2 ) × ( S - side3 ) )">
16281628
<math xmlns="http://www.w3.org/1998/Math/MathML">
16291629
<mrow>
16301630
<msqrt>
@@ -1802,7 +1802,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Area of a regular Polygon</
18021802
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
18031803
<meta itemprop="description" content="Exact polygon area formula">
18041804
<span itemprop="name">A<sub>(polygon)</sub> </span>=
1805-
<meta itemprop="value" content="sideNumber / 4 × ctg( 180° / sideNumber ) × sideLength / 2">
1805+
<meta itemprop="value" content="sideNumber / 4 × ctg( 180deg. / sideNumber ) × sideLength / 2">
18061806
<math xmlns="http://www.w3.org/1998/Math/MathML">
18071807
<mrow>
18081808
<mfrac>
@@ -1938,7 +1938,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Area of a Circle</h3>
19381938
<div itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
19391939
<meta itemprop="description" content="The ratio between the squared radius of the circle and an equiareal square">
19401940
<span itemprop="name">radius² </span>=
1941-
<meta itemprop="value" content="( side / 4 )² + ( side / 2 )²">
1941+
<meta itemprop="value" content="( side / 4 )^2 + ( side / 2 )^2">
19421942
<math xmlns="http://www.w3.org/1998/Math/MathML">
19431943
<mrow>
19441944
<msup>
@@ -1972,7 +1972,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Area of a Circle</h3>
19721972
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
19731973
<meta itemprop="description" content="The ratio between the radius of the circle and an equiareal square">
19741974
<span itemprop="name">radius </span>=
1975-
<meta itemprop="value" content="side × √(5) / 4">
1975+
<meta itemprop="value" content="side × sqrt(5) / 4">
19761976
<math xmlns="http://www.w3.org/1998/Math/MathML">
19771977
<mrow>
19781978
<msqrt>
@@ -2053,7 +2053,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Area of a Circle</h3>
20532053
<br>
20542054
<div itemprop="about" itemscope itemtype="https://schema.org/PropertyValue" id="uncovered">
20552055
<span itemprop="name">Quarter of the uncovered area in the middle </span>=
2056-
<meta itemprop="value" content="3.2 × r² / 4 - ( 3.2 × r² × ( ( 90° - 2 × Atan( 1 / 2 ) ) / 360° ) + 2 × ( ( √(3.2) / 4 ) × ( √(3.2) / 2 ) / 2 ) )">
2056+
<meta itemprop="value" content="3.2 × r^2 / 4 - ( 3.2 × r^2 × ( ( 90deg. - 2 × Atan( 1 / 2 ) ) / 360deg. ) + 2 × ( ( sqrt(3.2) / 4 ) × ( sqrt(3.2) / 2 ) / 2 ) )">
20572057
<br><br>
20582058
<math xmlns="http://www.w3.org/1998/Math/MathML">
20592059
<mrow>
@@ -2138,7 +2138,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Area of a Circle</h3>
21382138
<br><br><br>
21392139
<div itemprop="about" itemscope itemtype="https://schema.org/PropertyValue" id="overlap">
21402140
<span itemprop="name">The area of an overlapping section </span>=
2141-
<meta itemprop="value" content="2 × ( 3.2 × r² × ( ( 90° - Atan( 1 / 2 ) ) / 360° ) - ( ( √(3.2) / 4 ) × ( √(3.2) / 2 ) / 2 ) )">
2141+
<meta itemprop="value" content="2 × ( 3.2 × r^2 × ( ( 90deg. - Atan( 1 / 2 ) ) / 360deg. ) - ( ( sqrt(3.2) / 4 ) × ( sqrt(3.2) / 2 ) / 2 ) )">
21422142
<br><br>
21432143
<math xmlns="http://www.w3.org/1998/Math/MathML">
21442144
<mrow>
@@ -2463,7 +2463,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Area of a Circle</h3>
24632463
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
24642464
<meta itemprop="description" content="Exact circle area formula">
24652465
<span itemprop="name">A<sub>(circle)</sub> </span>=
2466-
<meta itemprop="value" content="3.2 × radius²">
2466+
<meta itemprop="value" content="3.2 × radius^2">
24672467
<math xmlns="http://www.w3.org/1998/Math/MathML">
24682468
<mrow>
24692469
<mfrac>
@@ -2911,7 +2911,7 @@ <h4>The true Ratio: 3.2</h4>
29112911
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
29122912
<meta itemprop="description" content="Circumference derivation">
29132913
<span itemprop="name">Circumference </span>=
2914-
<meta itemprop="value" content="( 3.2 × radius² - 3.2 × ( radius - circumferenceWidth )² ) / circumferenceWidth">
2914+
<meta itemprop="value" content="( 3.2 × radius^2 - 3.2 × ( radius - circumferenceWidth )^2 ) / circumferenceWidth">
29152915
<math xmlns="http://www.w3.org/1998/Math/MathML">
29162916
<mrow>
29172917
<mfrac>
@@ -3242,7 +3242,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Area of a Circle Segment</h
32423242
<p itemprop="description">If the radius of the parent circle is unknown it can be calculated from the chord.</p>
32433243
<br>
32443244
<span itemprop="name">Radius </span>=
3245-
<meta itemprop="value" content="( length² + 4 × height² ) / ( 8 × height )">
3245+
<meta itemprop="value" content="( length^2 + 4 × height^2 ) / ( 8 × height )">
32463246
<math xmlns="http://www.w3.org/1998/Math/MathML">
32473247
<mrow>
32483248
<mfrac>
@@ -3325,7 +3325,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Area of a Circle Segment</h
33253325
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
33263326
<meta itemprop="description" content="Exact circle segment area formula">
33273327
<span itemprop="name">A<sub>(segment)</sub> </span>=
3328-
<meta itemprop="value" content="Acos( ( radius - height ) / radius ) × radius² - sin( Acos( ( radius - height ) / radius ) × radius ) × ( radius - height ) × radius">
3328+
<meta itemprop="value" content="Acos( ( radius - height ) / radius ) × radius^2 - sin( Acos( ( radius - height ) / radius ) × radius ) × ( radius - height ) × radius">
33293329
<math xmlns="http://www.w3.org/1998/Math/MathML">
33303330
<mrow>
33313331
<mo>arccos</mo>
@@ -3508,7 +3508,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Surface Area of a Cone</h3>
35083508
<br>
35093509
<meta itemprop="description" content="Calculating the slant height of the cone from its height and radius">
35103510
<span itemprop="name">Slant height </span>=
3511-
<meta itemprop="value" content="√( radius² + height² )">
3511+
<meta itemprop="value" content="sqrt( radius^2 + height^2 )">
35123512
<math xmlns="http://www.w3.org/1998/Math/MathML">
35133513
<mrow>
35143514
<msqrt>
@@ -3533,7 +3533,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Surface Area of a Cone</h3>
35333533
<br>
35343534
<meta itemprop="description" content="Central angle of the circle slice that forms the lateral surface of the cone">
35353535
<span itemprop="name">Angle </span>=
3536-
<meta itemprop="value" content="radius / √( radius² + height² )">
3536+
<meta itemprop="value" content="radius / sqrt( radius^2 + height^2 )">
35373537
<math xmlns="http://www.w3.org/1998/Math/MathML">
35383538
<mrow>
35393539
<mfrac>
@@ -3563,7 +3563,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Surface Area of a Cone</h3>
35633563
<br>
35643564
<meta itemprop="description" content="Lateral surface of the cone">
35653565
<span itemprop="name">A<sub>(lateral)</sub> </span>=
3566-
<meta itemprop="value" content="3.2 × ( radius² + height² ) × ( radius / √( radius² + height² ) )">
3566+
<meta itemprop="value" content="3.2 × ( radius^2 + height^2 ) × ( radius / sqrt( radius^2 + height^2 ) )">
35673567
<math xmlns="http://www.w3.org/1998/Math/MathML">
35683568
<mrow>
35693569
<mn>3.2</mn>
@@ -3613,7 +3613,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Surface Area of a Cone</h3>
36133613
<br>
36143614
<meta itemprop="description" content="Lateral surface of the cone">
36153615
<span itemprop="name">A<sub>(lateral)</sub> </span>=
3616-
<meta itemprop="value" content="3.2 × radius × √( radius² + height² )">
3616+
<meta itemprop="value" content="3.2 × radius × sqrt( radius^2 + height^2 )">
36173617
<math xmlns="http://www.w3.org/1998/Math/MathML">
36183618
<mrow>
36193619
<mn>3.2</mn>
@@ -3650,7 +3650,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Surface Area of a Cone</h3>
36503650
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
36513651
<meta itemprop="description" content="Exact surface area of the cone formula including the bottom">
36523652
<span itemprop="name">A<sub>(bottom)</sub> + A<sub>(lateral)</sub> </span>=
3653-
<meta itemprop="value" content="3.2 × radius × ( radius + √( radius² + height² ) )">
3653+
<meta itemprop="value" content="3.2 × radius^2 + 3.2 × radius × sqrt( radius^2 + height^2 )">
36543654
<math xmlns="http://www.w3.org/1998/Math/MathML">
36553655
<mrow>
36563656
<mrow>
@@ -3684,7 +3684,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Surface Area of a Cone</h3>
36843684
<br>
36853685
<meta itemprop="description" content="Exact surface area of the cone formula including the bottom">
36863686
<span itemprop="name">Surface<sub>(cone)</sub> </span>=
3687-
<meta itemprop="value" content="3.2 × radius × ( radius + √( radius² + height² ) )">
3687+
<meta itemprop="value" content="3.2 × radius × ( radius + sqrt( radius^2 + height^2 ) )">
36883688
<math xmlns="http://www.w3.org/1998/Math/MathML">
36893689
<mrow>
36903690
<mn>3.2</mn>
@@ -3778,7 +3778,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Volume of a Sphere</h3>
37783778
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
37793779
<meta itemprop="description" content="Cross-sectional area of the sphere">
37803780
<span itemprop="name">A<sub>(cross-section)</sub> </span>=
3781-
<meta itemprop="value" content="3.2 × radius²">
3781+
<meta itemprop="value" content="3.2 × radius^2">
37823782
<math xmlns="http://www.w3.org/1998/Math/MathML">
37833783
<mrow>
37843784
<mn>3.2</mn>
@@ -3796,7 +3796,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Volume of a Sphere</h3>
37963796
<br>
37973797
<meta itemprop="description" content="Square root of the cross-sectional area of the sphere">
37983798
<span itemprop="name">√A<sub>(cross-section)</sub> </span>=
3799-
<meta itemprop="value" content="√( 3.2 ) × radius = 4 × radius / √5">
3799+
<meta itemprop="value" content="sqrt(3.2) × radius = 4 × radius / sqrt(5)">
38003800
<math xmlns="http://www.w3.org/1998/Math/MathML">
38013801
<mrow>
38023802
<msqrt>
@@ -3851,7 +3851,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Volume of a Sphere</h3>
38513851
<br>
38523852
<meta itemprop="description" content="Exact sphere volume formula">
38533853
<span itemprop="name">V<sub>(sphere)</sub> </span>=
3854-
<meta itemprop="value" content="( 4 × radius / √(5) )³">
3854+
<meta itemprop="value" content="( 4 × radius / sqrt(5) )^3">
38553855
<math xmlns="http://www.w3.org/1998/Math/MathML">
38563856
<mrow>
38573857
<msup>
@@ -3951,7 +3951,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Volume of a Spherical Cap</
39513951
<meta itemprop="description" content="Approximate spherical cap volume formula">
39523952
<br><br>
39533953
<span itemprop="name">V<sub>(cap)</sub> </span>=
3954-
<meta itemprop="value" content="1.6 × radius² × √( 3.2 ) × height">
3954+
<meta itemprop="value" content="1.6 × radius^2 × sqrt(3.2) × height">
39553955
<math xmlns="http://www.w3.org/1998/Math/MathML">
39563956
<mrow>
39573957
<mn>1.6</mn>
@@ -4147,7 +4147,7 @@ <h4 itemprop="abstract">The volume of a cone can be calculated by algebraically
41474147
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
41484148
<meta itemprop="description" content="Volume of an octant sphere">
41494149
<span itemprop="name">V<sub>(octant sphere)</sub> </span>=
4150-
<meta itemprop="value" content="( √( 3.2 ) × radius / 2 )³">
4150+
<meta itemprop="value" content="( sqrt(3.2) × radius / 2 )^3">
41514151
<math xmlns="http://www.w3.org/1998/Math/MathML">
41524152
<mrow>
41534153
<mrow>
@@ -4336,7 +4336,7 @@ <h4 itemprop="abstract">The volume of a cone can be calculated by algebraically
43364336
<br>
43374337
<meta itemprop="description" content="Volume of a quadrant cone">
43384338
<span itemprop="name">V<sub>(quadrant cone)</sub> </span>=
4339-
<meta itemprop="value" content="(3.2 × radius² / 4 × √(2) × height ) / ( 2 + 2 )">
4339+
<meta itemprop="value" content="(3.2 × radius^2 / 4 × sqrt(2) × height ) / ( 2 + 2 )">
43404340
<math xmlns="http://www.w3.org/1998/Math/MathML">
43414341
<mrow>
43424342
<mfrac>
@@ -4380,7 +4380,7 @@ <h4 itemprop="abstract">The volume of a cone can be calculated by algebraically
43804380
<br><br>
43814381
<meta itemprop="description" content="Exact cone volume formula">
43824382
<span itemprop="name">V<sub>(cone)</sub> </span>=
4383-
<meta itemprop="value" content="3.2 × radius² / √(8)">
4383+
<meta itemprop="value" content="3.2 × radius^2 / sqrt(8)">
43844384
<math xmlns="http://www.w3.org/1998/Math/MathML">
43854385
<mrow>
43864386
<mfrac>
@@ -4533,7 +4533,7 @@ <h4 itemprop="abstract" style="margin:12px">The volume of a pyramid can be calcu
45334533
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
45344534
<meta itemprop="description" content="Exact pyramid volume formula">
45354535
<span itemprop="name">V<sub>(pyramid)</sub></span>=
4536-
<meta itemprop="value" content="base × height / √(8)">
4536+
<meta itemprop="value" content="base × height / sqrt(8)">
45374537
<math xmlns="http://www.w3.org/1998/Math/MathML">
45384538
<mrow>
45394539
<mfrac>
@@ -4740,7 +4740,7 @@ <h3 itemprop="name" style="margin:12px">Calculate the Volume of a Frustum Pyrami
47404740
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
47414741
<meta itemprop="description" content="Exact frustum pyramid volume formula">
47424742
<span itemprop="name">V<sub>(frustum)</sub> </span>=
4743-
<meta itemprop="value" content="frustumHeight × ( bottomArea / (1 - topArea / bottomArea) - ( topArea / (1 - topArea / bottomArea) - topArea ) ) / √(8)">
4743+
<meta itemprop="value" content="frustumHeight × ( bottomArea / (1 - topArea / bottomArea) - ( topArea / (1 - topArea / bottomArea) - topArea ) ) / sqrt(8)">
47444744
<math xmlns="http://www.w3.org/1998/Math/MathML">
47454745
<mrow>
47464746
<mfrac>
@@ -4945,7 +4945,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Volume of a Frustum Cone</h
49454945
<div style="margin:12px" itemprop="about" itemscope itemtype="https://schema.org/PropertyValue">
49464946
<meta itemprop="description" content="Exact frustum cone volume formula">
49474947
<span itemprop="name">V </span>=
4948-
<meta itemprop="value" content="3.2 × frustumHeight × ( bottomRadius² / (1 - topRadius / bottomRadius ) - ( topRadius² / ( 1 - topRadius / bottomRadius) - topRadius² ) ) / √(8)">
4948+
<meta itemprop="value" content="3.2 × frustumHeight × ( bottomRadius^2 / (1 - topRadius / bottomRadius ) - ( topRadius^2 / ( 1 - topRadius / bottomRadius) - topRadius^2 ) ) / sqrt(8)">
49494949
<math xmlns="http://www.w3.org/1998/Math/MathML">
49504950
<mrow>
49514951
<mfrac>
@@ -5159,7 +5159,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Volume of a Tetrahedron</h3
51595159
<br>
51605160
<meta itemprop="description" content="Base area of a tetrahedron: Exact equilateral triangle formula">
51615161
<span itemprop="name">A<sub>(base)</sub> </span>=
5162-
<meta itemprop="value" content="edge² × √(3) / 4">
5162+
<meta itemprop="value" content="edge^2 × sqrt(3) / 4">
51635163
<math xmlns="http://www.w3.org/1998/Math/MathML">
51645164
<mrow>
51655165
<mfrac>
@@ -5279,7 +5279,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Volume of a Tetrahedron</h3
52795279
<br>
52805280
<meta itemprop="description" content="Exact height of a tetrahedron formula">
52815281
<span itemprop="name">H </span>=
5282-
<meta itemprop="value" content="√( 2 / 3 ) × edge">
5282+
<meta itemprop="value" content="sqrt( 2 / 3 ) × edge">
52835283
<math xmlns="http://www.w3.org/1998/Math/MathML">
52845284
<mrow>
52855285
<msqrt>
@@ -5429,7 +5429,7 @@ <h3 itemprop="name" style="margin:7px">Calculate the Volume of a Tetrahedron</h3
54295429
<br><br><br>
54305430
<meta itemprop="description" content="Exact tetrahedron volume formula">
54315431
<span itemprop="name">V<sub>(tetrahedron)</sub> </span>=
5432-
<meta itemprop="value" content="edge³ / 8">
5432+
<meta itemprop="value" content="edge^3 / 8">
54335433
<math xmlns="http://www.w3.org/1998/Math/MathML">
54345434
<mrow>
54355435
<mfrac>

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