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Mathematics
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TheProver
  • Member for 1 year, 4 months
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About

Hobbyist mathematician with a passion for elementary mathematics, geometry, number theory, and the philosophy behind mathematical ideas. I solve problems for joy, not just for answers — exploring elegance, intuition, and historical context. Always learning, always curious.

Note: I use this notation for coordinates and points in my questions and answers.

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Top posts

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16
Why does the leading coefficient of a quadratic trinomial resemble some sort of a slope?
Nov 3, 2025
15
Is there a simple geometric interpretation of the identity $a(1 - b^{2}) + b(1 - a^{2}) = (a + b)(1 - ab)$?
Dec 18, 2025
5
How to construct the following isosceles trapezoid with compass and a straightedge?
Apr 22
4
How to prove that four points are concyclic under these given conditions?
yesterday
3
Is there an easy way to solve the system $\frac{x}{y} - \frac{x}{85} = \frac{1}{2}$ and $\frac{174-x}{y} = \frac{x}{85}$?
Apr 5
2
How do I prove the external case of Ceva's Theorem using Menelaus' Theorem?
Jan 2
2
How do I prove the external case of Van Aubel's Theorem (for triangles) using Menelaus' Theorem?
Mar 9
1
Is it possible to simplify a sum of these two cube roots by completing the cube?
Nov 14, 2025
1
Can an isosceles triangle with a $60^\circ$ angle be proven equilateral independently of the triangle angle sum theorem?
Nov 22, 2025
1
Does $\frac{a \times \frac{b}{2} \times c}{d}$ simplify to $\frac{abc}{2d}$, or to $\frac{abcd}{2}$?
Apr 6