Orthogonal Circles

Orthogonal circles are Orthogonal Curves, i.e., they cut one another at Right Angles. TwoCircles with equations

(1)

(2)

(3)

A theorem of Euclid states that, for the orthogonal circles in the above diagram,

(4)

References

Dixon, R. Mathographics. New York: Dover, pp. 65-66, 1991.

Euclid. The Thirteen Books of the Elements, 2nd ed. unabridged, Vol. 3: Books X-XIII New York: Dover, p. 36, 1956.

Pedoe, D. Circles: A Mathematical View, rev. ed. Washington, DC: Math. Assoc. Amer., p. xxiv, 1995.

• Aliquant Divisor
• Aliquot Cycle
• Aliquot Divisor
• Aliquot Sequence
• Alladi-Grinstead Constant
• Allais Paradox
• Allegory
• Allometric
• All-Poles Model
• Almost All
• Almost Alternating Knot
• Almost Alternating Link
• Almost Everywhere
• Almost Integer
• Almost Perfect Number
• Almost Prime
• Alpha
• Alphabet
• Alpha Function
• Alphamagic Square
• Alphametic
• Alpha Value
• Alternate Algebra
• Alternating Algebra
• Alternating Group