Euclidean Geometry

[Lolua]

Okay, so I decided to start this thread on my own.

The Axioms/Postulates:

• 1. Line segments: A straight line segment can be drawn joining any two points.
  
  
  
  
• 2. Lines: Any straight line segment can be extended indefinitely in a straight line.
  
  
  
  
• 3. Circles: Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.
  
  
  
  
• 4. Right angles: All right angles are congruent.
  
  
  
  
• 5. Point/Line/Plane: If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.
  
  
  
  
  This postulate is equivalent to what is known as the parallel postulate because when the sum of the inner angles is exactly two right angles, the first two lines are parallel to each other.
  

From these axioms, the theorems of Euclidean geometry can be derived through logically sound proofs. One of these theorems is the Pythagorean theorem, concerning the lengths of the sides of a right triangle.

[Lorpius Prime]

Um, is someone having geometry withdrawal or something?

[Lolua]

Lorpius said:

Um, is someone having geometry withdrawal or something?

Our newest member as of this posting has come up with an interesting bit of literary theory which he explains through the use of Euclidean geometrical axioms and the mathematical system derived from them:

Severus said:

This works rather like geometry, as set down by the ancient Greek wizard Euclid. The characters are the axioms, the postulates: from them everything else is logically derived. The events of the story are the theorems, important developments in the natural lives of the characters. The author is the mathematician, who investigates the possibilities of certain strands of the web of proofs and ignores others, trying to prove the theorems she has devised.

[Lorpius Prime]

OK, I think you have to really stretch to make that analogy work though.