Update about.html

Author: Gmac4247

about.html

@@ -99,9 +99,9 @@ <h1 style="font-size:160%;margin:7px">About the Core Geometric System ™</h1>
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 <h2 style="margin:12px">Once around 2018 I was wondering how to calculate the area of a circle.</h2>
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-<section itemscope itemtype="http://schema.org/Article">
+<section style="margin:12px" itemscope itemtype="http://schema.org/Article">
 <h2 itemprop="disambiguatingDescription" style="margin:12px">I remembered the number 3.14 called the pi, but I was interested in the logic of comparing the circle to a square.</h2>
-<p style="margin:12px">Because the square is the basis of area calculation. That is why we use square units. 
+<p>Because the square is the basis of area calculation. That is why we use square units. 
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 The only problem with that was that the circle is not square. I have figured that the circle can be cut into four and then I get four right angles that can be aligned with the vertices of a square.
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@@ -126,16 +126,14 @@ <h2 itemprop="disambiguatingDescription" style="margin:12px">I remembered the nu
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-<p style="margin:12px">That got me excited for obvious reasons, but also confused. Nobody thought of that before? Why is the pi so different?
+<p>That got me excited for obvious reasons, but also confused. Nobody thought of that before? Why is the pi so different?
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 For about a year I just kept thinking and calculating all aspects of that, and I shared my discovery just with a few friends. They didn't share my excitement. 
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 Some of them didn't really care about math at all, those who did were sticking to the pi, just because it's an old and highly hyped convention.</p>
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-<section itemscope itemtype="http://schema.org/Article">
-<h2 itemprop="description" style="margin:12px">Meanwhile I figured that by extending the area of a circle to 3D, the volume of a sphere equals the cubed value of the square root of its cross-sectional area, just like a cube.</h2>
-<p style="margin:12px">It's quite hard to physically accurately measure the volume of a ball, but there's a significant difference between the result of my V=(√(3.2)r)³ formula and the conventional " 4 / 3 × pi × r³ ". 
+<h2 itemprop="description">Meanwhile I figured that by extending the area of a circle to 3D, the volume of a sphere equals the cubed value of the square root of its cross-sectional area, just like a cube.</h2>
+<p itemprop="text">It's quite hard to physically accurately measure the volume of a ball, but there's a significant difference between the result of my V=(√(3.2)r)³ formula and the conventional " 4 / 3 × pi × r³ ". 
 <br><br>
 I conducted some experiments with the resources that I had. I could not provide the accuracy that the subject deserves, but the results aligned better with my V=(√(3.2)r)³ formula.</p>
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@@ -144,7 +142,7 @@ <h2 itemprop="description" style="margin:12px">Meanwhile I figured that by exten
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-<p style="margin:12px">
+<p itemprop="text">
 The subject of the sphere experiment was a standard golf ball. That is not a perfect sphere because there are dimples on its surface. That can be compensated by calculating with a slightly shorter radius. 
 <br>
 The measuring bottle had a nominal volume of 4 cl (40 ml ~ 4 / 3 US ounce). That is not perfectly precise either because the nominal volume indicates the guaranteed amount of the fluid in it in commerce. They come with an air gap atop the fluid so the total capacity of the bottle is somewhat larger.</p>
@@ -153,17 +151,13 @@ <h2 itemprop="description" style="margin:12px">Meanwhile I figured that by exten
  <iframe title="The sphere experiment 2" width="420" height="315" src="https://youtube.com/embed/rXcJhFLLP0Y">
  </iframe>
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-<p style="margin:12px">The second sphere experiment was done with the same ball and a nominal 5 ml syringe. The nominal volume of a syringe should be its real volume. However, I have measured its length and width to make sure and I found that its real volume is about 10% larger. I took that into account in the calculations.</p>
-</section>
+<p itemprop="text">The second sphere experiment was done with the same ball and a nominal 5 ml syringe. The nominal volume of a syringe should be its real volume. However, I have measured its length and width to make sure and I found that its real volume is about 10% larger. I took that into account in the calculations.</p>
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-<section itemscope itemtype="http://schema.org/Article">
-<h2 itemprop="description" style="margin:12px">I have derived the volume of a cone by comparing a vertical quadrant of a cone to an octant of a sphere.</h2>
-<p style="margin:12px">First I made a mistake in that. I knew that the height has to be divided by 2, not 3 as they usually do it, but I confused the vertical height with the slant height and I divided it by 2 only once, instead of twice. That resulted in an error.</p>
-</section>
+<h2 itemprop="description">I have derived the volume of a cone by comparing a vertical quadrant of a cone to an octant of a sphere.</h2>
+<p itemprop="text">First I made a mistake in that. I knew that the height has to be divided by 2, not 3 as they usually do it, but I confused the vertical height with the slant height and I divided it by 2 only once, instead of twice. That resulted in an error.</p>
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-<section itemscope itemtype="http://schema.org/Article">
-<h2 itemprop="description" style="margin:12px">In early 2020 there were news about that online education was introduced because of the pandemic.</h2>
-<p style="margin:12px">I thought it was time to share my discoveries online, so I went to the local public library to publish them on a webpage. My volume formula for a cone and a pyramid was undeveloped and I didn't have much web development skills but I had to start somewhere. My attention was divided by lots of details in both geometry and IT.
+<h2 itemprop="description">In early 2020 there were news about that online education was introduced because of the pandemic.</h2>
+<p itemprop="text">I thought it was time to share my discoveries online, so I went to the local public library to publish them on a webpage. My volume formula for a cone and a pyramid was undeveloped and I didn't have much web development skills but I had to start somewhere. My attention was divided by lots of details in both geometry and IT.
 <br><br>
 I received some criticism regarding my formulas. Those included the lack of rigorous proof, and the alleged rigorous proofs of the conventional formulas.
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@@ -177,9 +171,10 @@ <h2 itemprop="description" style="margin:12px">In early 2020 there were news abo
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 That is something to think about for a moment.
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-Years have passed without significant development. I was working on improving my online presence and solved geometry puzzles on social media. You can find my favorites on X in the replies of @BasicGeometry. Solving puzzles is fun, and helps to learn and develop some routine. 
-<br><br>
-Eventually I have realized that through my formulas I have created a logically interconnected, consistent geometric framework. 
+Years have passed without significant development. I was working on improving my online presence and solved geometry puzzles on social media. You can find my favorites on X in the replies of @BasicGeometry. Solving puzzles is fun, and helps to learn and develop some routine.</p>
+<br>
+<br>
+<p itemprop="disambiguatingDescription">Eventually I have realized that through my formulas I have created a logically interconnected, consistent geometric framework. 
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 Something that the one would assume of the conventional geometry. There are several geometry concepts, but there's a popular one that they teach in schools and online.
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@@ -195,22 +190,20 @@ <h2 itemprop="description" style="margin:12px">In early 2020 there were news abo
 <iframe title="Introduction to basic geometry" width="420" height="315" src="https://youtube.com/embed/U5eHkmmVVEA"></iframe>
 </div>
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-<p itemprop="description" style="margin:12px">Exactly determining the properties of different shapes is in the scope.</p>
+<p itemprop="description">Exactly determining the properties of different shapes is in the scope.</p>
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 <br>
-<h2 itemprop="description" style="margin:12px">I named my framework the Core Geometric System ™ and put the trademark symbol on it to indicate that this not just another abstract geometric system.</h2>
-<p style="margin:12px">The name reflects that my logic is built in accordance with the core principles of elementary mathematics. That is something that people assume of the conventional one and they have no idea how badly it deviated from that.
+<h2 itemprop="description">I named my framework the Core Geometric System ™ and put the trademark symbol on it to indicate that this not just another abstract geometric system.</h2>
+<p itemprop="text">The name reflects that my logic is built in accordance with the core principles of elementary mathematics. That is something that people assume of the conventional one and they have no idea how badly it deviated from that.
 <br><br>
 The expression was unique back then. I came up with it. I never read it anywhere else before. Back then I searched for it to find out if anyone else is using it, and there were no results for that term. 
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 Interestingly, now language models explain it like some generic term without even referencing my work. 
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 The trademark symbol indicates that it's not to be confused with some generic term. While it might be surprising in the 21st century, this is the first and only geometric system in accordance with the core principles of elementary mathematics.</p>
-</section>
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-<section itemscope itemtype="http://schema.org/Article">
 <h2 itemprop="description" style="margin:12px">In 2024 I fixed the numeric value for my cone and pyramid volume formula. </h2>
-<p style="margin:12px">I'm sorry about that I had presented a wrong number for such a long time, but at least my logic was closer to reality.
+<p itemprop="text">I'm sorry about that I had presented a wrong number for such a long time, but at least my logic was closer to reality.
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 Later that year I got access to AI language models.
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@@ -223,11 +216,9 @@ <h2 itemprop="description" style="margin:12px">In 2024 I fixed the numeric value
 It was very disturbing. But I was able to spot their recurring arguments. And I questioned them until they revealed all the inconsistent details they were trying to hide. 
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 Those are the logical flaws in conventional geometry.</p>
-</section>
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-<section itemscope itemtype="http://schema.org/Article">
 <h2 itemprop="usageInfo" style="margin:12px">While trying to explain it to others, I have found that different people have different levels of education.</h2>
-<p style="margin:12px">I thought I can't just start the explanation with the numbers and basic operations.
+<p itemprop="text">I thought I can't just start the explanation with the numbers and basic operations.
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 Then I realized that I can.
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@@ -244,19 +235,19 @@ <h2 itemprop="usageInfo" style="margin:12px">While trying to explain it to other
 <br><br>
 Thank you for reading this and thanks to everyone making it possible.</p>
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-  <div itemprop="copyrightHolder" itemscope itemtype="https://schema.org/Person">
-    <p style="margin:12px"><span itemprop="name">Gaál Sándor</span></p>
+  <div itemprop="author" itemscope itemtype="https://schema.org/Person">
+    <p><span itemprop="familyName">Gaál</span> <span itemprop="givenName">Sándor</span></p>
   </div>
-	<p style="margin:12px" itemprop="copyrightNotice">® All rights reserved</p>
-	<p style="margin:12px" itemprop="copyrightYear">2025</p>
+	<p itemprop="copyrightNotice">® All rights reserved</p>
+	<p itemprop="copyrightYear">2025</p>
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