Update about.html

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Author: Gmac4247

about.html

@@ -324,7 +324,7 @@ <h1 style="font-size:160%;margin:7px;">About the Core Geometric System ™</h1>
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 I have derived the volume of a cone by comparing a vertical quadrant of a cone to an octant of a sphere.
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-I made a mistake in that first 
+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. 
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@@ -336,6 +336,54 @@ <h1 style="font-size:160%;margin:7px;">About the Core Geometric System ™</h1>
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 That was another challenge because I didn't have a routine in that either.
+<br>
+<br>
+Under some sorts of different pressures I made all kinds of mistakes. My volume formula for a cone and a pyramid was undeveloped and I wasn't totally comfortable with my content overall but I had to start somewhere.
+<br>
+My attention was divided by all the details in both geometry and IT.
+<br>
+<br>
+I got some negative criticism regarding my formulas. Those included the lack of rigorous proof and the alleged rigorous proofs of the conventional formulas.
+<br>
+Obviously I wasn't happy about those, but I felt like there's not much I can do about that. I derived my formulas from 1st principles, what should I prove about those?
+<br>
+Also I didn't see how the so-called "proofs" of the conventional formulas prove anything. They are nonsensical and exaggerated. Only I see that?
+<br>
+Then I realized that it is about something else. It's the old "We have a diploma, so we are right." thing.
+<br>
+<br>
+I'm not buying that. I got thinking way before I started all this, who issued the first diploma in history?
+<br>
+That is something to think about for a moment.
+<br>
+<br>
+Years have passed without much happening. I solved geometry puzzles on social media. I developed some routine and learned a lot. And I slowly realized bit by bit that through my formulas I have created a logically interconnected, consistent geometric framework. 
+<br>
+Something that the common man would assume of the conventional one. There are several geometry concepts, but there's a popular one that they teach in schools and online.
+<br>
+That starts with that "a point is a zero-dimensional entity", "the line has no thickness" and states that "the ratio between the circumference and the diameter of a circle is π", "the volume of a sphere is 4 / 3 × π × r³", "the volume of a cone and a pyramid is base × height / 3", and all that is "rigorously proven via calculus".
+<br>
+They call that Euclidean geometry.
+</p>
+</section>
+<br>
+<br>
+<section><p style="margin:12px;">In 2024 I got access to AI language models.
+<br>
+That got things going. They helped me summarizing the key points of conventional geometry, one generated my great figures and helped to develop the proofs for my formulas and the disapproval of the conventional ones through conversation.
+<br>
+<br>
+I named my framework the Core Geometric System ™ and put the trademark symbol on it to indicate that this not just any core geometric system, this is *the* Core Geometric System ™.
+<br>
+Because unlike others it relies on 1st principles and is logically consistent.
+<br>
+It's quite similar to the Euclidean, but the key difference is that a point is not zero-dimensional and a line can have a thickness. These two make a big difference, especially in 3 dimensional solids 
+<br>
+<br>
+The rest is about deriving the properties of different shapes, which is not really about if it is Euclidean or not, but since Archimedes' flawed formulas are associated with it, I figured that it's the best to start with a clear sheet.
+<br>
+<br>
+That is the Core Geometric System ™.
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