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@@ -100,7 +100,6 @@ <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 style="margin:12px" itemscope itemtype="http://schema.org/Article">
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<h2 itemprop="disambiguatingDescription">I remembered the number 3.14 called the pi, but I was interested in the logic of comparing the circle to a square, because the square is the basis of area calculation. That is why we use square units.</h2>
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<p itemprop="text">The only problem with that was that the circle is not square. I have figured that the circle can be cut in four and then I get four right angles that can be aligned with the vertices of a square.
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<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.
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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>
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<div itemscope itemtype="http://schema.org/VideoObject">
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<iframe title="The sphere experiment 2" width="420" height="315" src="https://youtube.com/embed/rXcJhFLLP0Y">
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</iframe>
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<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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<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>
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<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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<h2 itemprop="description">In early 2020 there were news about that online education was introduced because of the pandemic.</h2>
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<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.
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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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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>
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<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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