Skip to content

Commit 2db5439

Browse files
authored
Fix formatting and improve clarity in about.html
1 parent f091108 commit 2db5439

1 file changed

Lines changed: 4 additions & 5 deletions

File tree

about.html

Lines changed: 4 additions & 5 deletions
Original file line numberDiff line numberDiff line change
@@ -365,7 +365,7 @@ <h1 style="font-size:160%;margin:7px;">How Accurate Are The Conventional Geometr
365365
The symbol π was introduced because the true ratio—approximately 3.14159…—is an infinite fraction. Since we can’t write all its digits, we needed a symbol. But this symbol has taken on a life of its own.
366366
<br>
367367
<br>
368-
Technically, the circumference is a perimeter. So the ratio ( P / d ) ( perimeter over diameter ) became π/δ in Greek. With ( d = 1 ), we get ( π / 1 = π ). But this is not necessarily the ratio itself—it’s the notation of that ratio. That distinction matters. There was a ratio between circumference and diameter long before the Greeks studied it. We must not let their symbolic shortcut overwrite a more fundamental geometric truth.
368+
Technically, the circumference is a perimeter. So the ratio ( P / d ) ( perimeter over diameter ) became π / δ in Greek. With ( d = 1 ), we get ( π / 1 = π ). But this is not necessarily the ratio itself—it’s the notation of that ratio. That distinction matters. There was a ratio between circumference and diameter long before the Greeks studied it. We must not let their symbolic shortcut overwrite a more fundamental geometric truth.
369369
<br>
370370
<br>
371371
It was not until the 18th century that the symbol π, popularized by the mathematicians of the time, gained widespread acceptance.
@@ -411,12 +411,11 @@ <h1 style="font-size:160%;margin:7px;">How Accurate Are The Conventional Geometr
411411
</mrow>
412412
</math>
413413
<br>
414-
<br>
415414
<p style="margin:12px;">
416415
But this is not a magical formula—it’s a symbolic summary of prior assumptions. Each notation should correspond to a real, logical property of the circle. Yet upon inspection, inconsistencies emerge. The formula doesn’t derive the circumference from first principles; it assumes it.
417416
<br>
418417
<br>
419-
Calculus can be a useful mathematical tool, but it calling it exact is a bold statement.
418+
Calculus can be a useful mathematical tool, but calling it exact is a bold statement.
420419
<br>
421420
<br>
422421
It can be exact with exact limits and basic operations, but if those are given then they can be calculated directly without calculus.
@@ -425,7 +424,7 @@ <h1 style="font-size:160%;margin:7px;">How Accurate Are The Conventional Geometr
425424
<br>
426425
<br>
427426
<section>
428-
<p style="margin:12px;"><b>φ The golden ratio:</b>
427+
<p style="margin:12px;"><b>φ The Golden Ratio:</b>
429428
<br>
430429
<br>
431430
Some relate the numeric value of 3.14… to the so-called “golden ratio” of ( √5 + 1 ) / 2.
@@ -444,7 +443,7 @@ <h1 style="font-size:160%;margin:7px;">How Accurate Are The Conventional Geometr
444443
<b>A Rational Alternative: 3.2</b>
445444
<br>
446445
<br>
447-
Historical records suggest that a legislative process took place in 1897, Indiana, USA, known as House Bill 246, or Indiana Pi Act, aiming to replace the numeric value 3.14 by 3.2.
446+
Historical records suggest that a legislative process took place in 1897, Indiana, USA, known as House Bill 246 ( sometimes listed as 264 ), or Indiana Pi Act, aiming to replace the numeric value 3.14 by 3.2.
448447
<br>
449448
<br>
450449
Unfortunately, the exact details of the proposed method in the Indiana Pi Bill are somewhat obscure and have been interpreted differently by various accounts.

0 commit comments

Comments
 (0)