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2. Pasch's axiom - Wikipedia

   en.wikipedia.org/wiki/Pasch's_axiom

   Pasch's axiom — Let A, B, C be three points that do not lie on a line and let a be a line in the plane ABC which does not meet any of the points A, B, C.If the line a passes through a point of the segment AB, it also passes through a point of the segment AC, or through a point of segment BC.

3. Mathematics (UIL) - Wikipedia

   en.wikipedia.org/wiki/Mathematics_(UIL)

   The test for Grades 9-12 covers algebra I and II, geometry, trigonometry, math analysis, analytic geometry, pre-calculus, and elementary calculus. For Grades 6-8 each school may send up to three students per division. In order for a school to participate in team competition in a division, the school must send three students in that division.

4. List of mathematics competitions - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematics...

   Rocket City Math League (RCML) — Competition run by students at Virgil I. Grissom High School with levels ranging from Explorer (Pre-Algebra) to Discovery (Comprehensive) Romanian Master of Mathematics and Sciences — Olympiad for the selection of the top 20 countries in the last IMO.

5. GeoGebra - Wikipedia

   en.wikipedia.org/wiki/GeoGebra

   GeoGebra (a portmanteau of geometry and algebra) is an interactive geometry, algebra, statistics and calculus application, intended for learning and teaching mathematics and science from primary school to university level.

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7. Polygon - Wikipedia

   en.wikipedia.org/wiki/Polygon

   In geometry, a polygon (/ ˈ p ɒ l ɪ ɡ ɒ n /) is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. An n-gon is a polygon with n sides; for example, a triangle is a 3 ...

8. Parallel postulate - Wikipedia

   en.wikipedia.org/wiki/Parallel_postulate

   Euclidean geometry is the study of geometry that satisfies all of Euclid's axioms, including the parallel postulate. The postulate was long considered to be obvious or inevitable, but proofs were elusive. Eventually, it was discovered that inverting the postulate gave valid, albeit different geometries.

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