Euclidean Number

A Euclidean number is a number which can be obtained by repeatedly solving the Quadratic Equation. Euclidean numbers,together with the Rational Numbers, can be constructed using classical GeometricConstructions. However, the cases for which the values of the TrigonometricFunctions Sine, Cosine, Tangent, etc., can be written in closed form involving square rootsof Real Numbers are much more restricted.

References

Conway, J. H. and Guy, R. K. ``Three Greek Problems.'' In The Book of Numbers. New York: Springer-Verlag, pp. 192-194, 1996.

• Archimedes' Recurrence Formula
• Archimedes' Spiral
• Archimedes' Spiral Inverse
• Arc Length
• Arc Minute
• Arcsecant
• Arc Second
• Arcsine
• Arctangent
• Area
• Area Element
• Areal Coordinates
• Area-Preserving Map
• Area Principle
• Arf Invariant
• Argand Diagram
• Argand Plane
• Argoh's Conjecture
• Argument Addition Relation
• Argument (Complex Number)
• Argument (Elliptic Integral)
• Argument (Function)
• Argument Multiplication Relation
• Argument Principle
• Argument Variation