The eyeball theorem is a statement in elementary geometry about a property of a pair of disjoined circles.
More precisely it states the following: [1]
The eyeball theorem was discovered in 1960 by the Peruvian mathematician Antonio Gutierrez. [2] However without the use of its current name it was already posed and solved as a problem in an article by G. W. Evans in 1938. [3] Furthermore Evans stated that problem was given in an earlier examination paper. [4]
A variant of this theorem states, that if one draws line in such a way that it intersects for the second time at and at . Then, it turns out that . [3]
There are some proofs for Eyeball theorem, one of them show that this theorem is a consequence of the Japanese theorem for cyclic quadrilaterals. [5]
The eyeball theorem is a statement in elementary geometry about a property of a pair of disjoined circles.
More precisely it states the following: [1]
The eyeball theorem was discovered in 1960 by the Peruvian mathematician Antonio Gutierrez. [2] However without the use of its current name it was already posed and solved as a problem in an article by G. W. Evans in 1938. [3] Furthermore Evans stated that problem was given in an earlier examination paper. [4]
A variant of this theorem states, that if one draws line in such a way that it intersects for the second time at and at . Then, it turns out that . [3]
There are some proofs for Eyeball theorem, one of them show that this theorem is a consequence of the Japanese theorem for cyclic quadrilaterals. [5]