Update about.html

Author: Gmac4247

about.html

@@ -364,53 +364,20 @@ <h2 style="font-size:160%;margin:7px;">Disapproval of the mathematical constant
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 By focusing on area relationships and direct comparisons between shapes, the above method emphasizes a more intuitive and potentially more fundamental understanding of geometric concepts.
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 The quadrant method not only proves that the area of a circle is 3.2 × ( square value of the radius ), it necessarily rules out the validity of the π.
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 Using the same quadrants model, in which we were able to find a direct relationship between the radius of the circle and the side length of the square that equals in area by ensuring that the overlaps equal the unfilled space, 
-and the radius of the circle equals 
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-√5 × quarter side, I change the side length of the square to √π, assuming that the area of a circle equals π × ( square value of the radius ). 
+and the radius of the circle equals √5 × quarter of the side, I change the side length of the square to √π, assuming that the area of a circle equals π × ( square value of the radius ). 
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 The idea is that the area of the circle equals to the area of the square. Looking for the ratio between the length of the side, I could denote the side of the square as 1, and compare the radius to that, or denote the radius as 1 and express the side compared to that. 
@@ -540,6 +507,7 @@ <h2 style="font-size:160%;margin:7px;">Disapproval of the mathematical constant
 The best practice is writing it as it is.
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@@ -548,18 +516,18 @@ <h2 style="font-size:160%;margin:7px;">Disapproval of the mathematical constant
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+<h3 style="font-size:160%;margin:7px;">Volume of a pyramid</h3>
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-<p style="margin:12px;">The commonly used base × height / 3 approximation for the volume of a cone was likely estimated based on two observations. 
+<p style="margin:12px;">The commonly used base × height / 3 approximation for the volume of a pyramid was likely estimated based on two observations. 
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-One is that the area of the mid-height cross section of a regular cone - of which's apex can be connected to the midpoint of the base with a perpendicular line - is exactly a quarter of a circumscribed solid's with the same base and height. 
+One is that the area of the mid-height cross section of a regular pyramid - of which's apex can be connected to the midpoint of the base with a perpendicular line - is exactly a quarter of a circumscribed solid's with the same base and height. 
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-That makes the ratio between the mid-height cross-sectional area of the cone, and the difference between the mid-height cross-sectional areas of the circumscribed solid and the cone 
+That makes the ratio between the mid-height cross-sectional area of the pyramid, and the difference between the mid-height cross-sectional areas of the circumscribed solid and the pyramid 
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@@ -648,7 +616,10 @@ <h2 style="font-size:160%;margin:7px;">Disapproval of the mathematical constant
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-<p style="margin:12px;">1 : 3 . 
+<p style="margin:12px;">1 : 3 
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@@ -666,16 +637,15 @@ <h2 style="font-size:160%;margin:7px;">Disapproval of the mathematical constant
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 <p style="margin:12px;">The other idea is the cube dissection. 
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-A common method aiming to prove the pyramid volume formula ( V = 1/3 × base × height ) involves dissecting a cube into three pyramids. Here’s how it’s typically presented:
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-<p style="margin:12px;">Standard Cube Dissection Method:
+<p style="margin:12px;">A common method aiming to prove the pyramid volume formula ( V = base × height / 3 ) involves dissecting a cube into three pyramids. Here’s how it’s typically presented:
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 Take a cube with an edge length of ( e ).