You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
Copy file name to clipboardExpand all lines: about.html
+5-5Lines changed: 5 additions & 5 deletions
Original file line number
Diff line number
Diff line change
@@ -744,17 +744,17 @@ <h1 style="font-size:160%;margin:7px;">How Accurate Are The Conventional Geometr
744
744
<br>
745
745
<br>
746
746
<div>
747
-
<pstyle="margin:12px;">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.
747
+
<pstyle="margin:12px;">The quadrant method not only proves that the area of a circle is 3.2 × radius², it necessarily rules out the validity of the π.
748
748
<br>
749
749
<br>
750
-
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,
751
-
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 ).
750
+
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 uncovered space,
751
+
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 × radius².
752
752
<br>
753
753
<br>
754
754
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.
755
755
<br>
756
756
<br>
757
-
I denoted the radius as 1 and the side as √π, because if the area equaled π × ( square value of the radius ), the side length of the square that has the same area as the circle was √( π × ( square value of 1 ) ).
757
+
I denoted the radius as 1 and the side as √π, because if the area equaled π × radius², the side length of the square that has the same area as the circle was √( π × 1² ).
758
758
<br>
759
759
<br>
760
760
But the square consists of 16 right triangles with legs of a quarter side and a half side, and hypotenuse of √π × √5 divided by 4 ( about 0.991 ), which should equal the radius.
@@ -763,7 +763,7 @@ <h1 style="font-size:160%;margin:7px;">How Accurate Are The Conventional Geometr
763
763
This means that the radius is shorter than it should logically be ( one ).
764
764
<br>
765
765
<br>
766
-
That is a logical error in the " Area = π × ( square value of the radius ) " formula; not in the model.
766
+
That is a logical error in the " Area = π × radius² " formula; not in the model.
767
767
<br>
768
768
<br>
769
769
The π is a very rough approximation; 3.2 is an exact value.
0 commit comments