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@@ -358,14 +358,15 @@ <h1 style="font-size:160%;margin:7px;">How Accurate Are The Conventional Geometr
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<p style="margin:12px;">My work, however, suggests that when we move from these idealizations to the measurement of real objects, a slightly different constant, 3.2 emerges as more relevant for accurately describing their properties.
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By focusing on area relationships and direct comparisons between shapes, my method emphasizes a more intuitive and potentially more fundamental understanding of geometric concepts.
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<p style="font-size:160%;margin:7px;">THE AREA Of A CIRCLE is defined by comparing it to a square since that is the base of area calculation.
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<iframe title="Geometry puzzle" width="420" height="315" src="https://youtube.com/embed/-gvXLaLFXuM">
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<p style="margin:12px;">The ratio between the circumference and the diameter can be derived from the area algebraically.
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<p style="font-size:160%;margin:7px;">THE CIRCUMFERENCE OF A CIRCLE can be derived from the area algebraically.
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<p style="margin:12px;">Another aspect is applying the area relationship in 3D to get the volume of a sphere by cubing the square root of its cross sectional area.
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<p style="font-size:160%;margin:7px;">THE VOLUME OF A SPHERE is another aspect of the area relationship, cubing the square root of its cross sectional area.
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<h2 style="margin:6px;">Surface area of a sphere</h2>
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<h2 style="margin:6px;">SURFACE AREA OF A SPHERE</h2>
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<p style="margin:12px;">The volume of a cone can be derived algebraically by comparing a vertical quadrant of a cone to an octant of a sphere.
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<p style="font-size:160%;margin:7px;">THE VOLUME OF A CONE can be derived algebraically by comparing a vertical quadrant of a cone to an octant of a sphere.
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<p style="margin:12px;">The result is base × height / √8 .
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The volume of a pyramid can be calculated with the same coefficient.
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THE VOLUME OF A PYRAMID can be calculated with the same coefficient.
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