Monge's Theorem
Draw three nonintersecting Circles in the plane, and the common tangent line for each pair of two. Thepoints of intersection of the three pairs of tangent lines lie on a straight line.
References
Coxeter, H. S. M. ``The Problem of Apollonius.'' Amer. Math. Monthly 75, 5-15, 1968. Graham, L. A. Problem 62 in Ingenious Mathematical Problems and Methods. New York: Dover, 1959.Ogilvy, C. S. Excursions in Geometry. New York: Dover, pp. 115-117, 1990. Walker, W. ``Monge's Theorem in Many Dimensions.'' Math. Gaz. 60, 185-188, 1976.
- Euler's Circle
- Euler's Conjecture
- Euler's Criterion
- Euler's Displacement Theorem
- Euler's Distribution Theorem
- Euler's Factorization Method
- Euler's Finite Difference Transformation
- Euler's Graeco-Roman Squares Conjecture
- Euler's Homogeneous Function Theorem
- Euler's Hypergeometric Transformations
- Euler's Idoneal Number
- Euler's Machin-Like Formula
- Euler's Pentagonal Number Theorem
- Euler's Phi Function
- Euler's Polygon Division Problem
- Euler's Quadratic Residue Theorem
- Euler Square
- Euler's Rotation Theorem
- Euler's Rule
- Euler's Series Transformation
- Euler's Spiral
- Euler's Sum of Powers Conjecture
- Euler's Theorem
- Euler's Totient Rule
- Euler's Transform