التفاصيل البيبلوغرافية
العنوان: |
Seeing Pascal's Mystic Hexagon from a Different Angle. |
المؤلفون: |
Norton, Anderson1 norton3@vt.edu |
المصدر: |
Mathematics Enthusiast. Feb2024, Vol. 21 Issue 1/2, p35-41. 7p. |
مصطلحات موضوعية: |
*HEXAGONS, *ANGLES, *MATHEMATICS, *GEOMETRY |
People: |
PASCAL, Blaise, 1623-1662 |
مستخلص: |
Hexagons inscribed within circles have the mystic property that their three pairs of opposite sides (when extended) intersect on the same line. This surprisingly simple result seems to support the Platonic notion that elegant mathematical relationships exist in some perfect realm awaiting human discovery. To the contrary, this article introduces a transformational proof that provides for intuitive understanding of the mystic property while supporting the idea that mathematical objects, and relationships between them, arise from coordinations of our own mental actions. [ABSTRACT FROM AUTHOR] |
قاعدة البيانات: |
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