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496 | 496 | </div> |
497 | 497 | <h1 style="font-size:140%;margin:7px">Introducing The Core Geometric System ™</h1> |
498 | 498 | <article> |
499 | | -<h5 style="margin:12px;">The ratios are in the shapes.</h5> |
500 | 499 | <div class="imgbox"> |
501 | 500 | <img class="center-fit" src="geometry.jpeg" alt="Geometry"> |
502 | 501 | </div> |
503 | 502 | <br> |
504 | | -<section> |
505 | 503 | <h2 style="font-size:100%">By fundamentally shifting the axioms from the abstract, zero-dimensional point to the square and the cube as the primary, physically-relevant units for measurement, we define the properties of shapes like the circle and sphere not through abstract limits, but through their direct, rational relationship to these foundational units, resulting in the use of the rational constant 3.2 instead of the irrational pi.</h2> |
506 | 504 | <br> |
507 | 505 | <br> |
508 | 506 | <br> |
509 | 507 | <br> |
| 508 | +<section> |
510 | 509 | <h3 style="margin:7px;">Key Points</h3> |
511 | 510 | <br> |
512 | 511 | <br> |
513 | 512 | <h4 style="margin:7px;">Area of a Circle</h4> |
514 | | -<br> |
515 | 513 | <p style="margin:12px;">Compared to a square, using geometric properties and the Pythagorean theorem. |
516 | 514 | <br> |
517 | | -Formula: A = 3.2 × ( square value of the radius ). |
| 515 | +<br> |
| 516 | +Formula: A = 3.2 × ( square value of the radius ) |
518 | 517 | </p> |
519 | 518 | <br> |
520 | 519 | <h4 style="margin:7px;">Circumference of a Circle</h4> |
521 | | -<br> |
522 | 520 | <p style="margin:12px;">Derived from the area by subtracting a smaller theoretical circle. |
523 | 521 | <br> |
524 | | -Formula: C = 6.4 × radius. |
| 522 | +<br> |
| 523 | +Formula: C = 6.4 × radius |
525 | 524 | </p> |
526 | 525 | <br> |
527 | 526 | <h4 style="margin:7px;">Volume of a Sphere</h4> |
528 | | -<br> |
529 | 527 | <p style="margin:12px;">Compared to a cube, using the area of the sphere's cross-section. |
530 | 528 | <br> |
531 | | -Formula: V = " cubic value of ( square root ( 3.2 ) × radius ) ". |
| 529 | +<br> |
| 530 | +Formula: V = cubic value of ( square root ( 3.2 ) × radius ) |
532 | 531 | </p> |
533 | 532 | <br> |
534 | 533 | <h4 style="margin:7px;">Volume of a Cone</h4> |
535 | | -<br> |
536 | 534 | <p style="margin:12px;">Compared to an octant sphere and a quarter cylinder. |
537 | 535 | <br> |
538 | | -Formula: V = 3.2 × ( square value of the radius ) × height, divided by √8 . |
| 536 | +<br> |
| 537 | +Formula: V = 3.2 × ( square value of the radius ) × height, divided by √8 |
539 | 538 | </p> |
540 | 539 | <br> |
| 540 | +<br> |
541 | 541 | <h4 style="margin:7px;">Comparative Geometry</h4> |
542 | 542 | <p style="margin:12px;">Using geometric relationships to derive areas and volumes. |
543 | 543 | </p> |
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