Sylvester's Triangle Problem

The resultant of the vectors represented by the three Radii from the center of aTriangle's Circumcircle to its Vertices is the segment extending fromthe Circumcenter to the Orthocenter.

References

Dörrie, H. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, p. 142, 1965.

• Gauss's Class Number Problem
• Gauss's Constant
• Gauss's Criterion
• Gauss's Double Point Theorem
• Gauss's Equation (Radius Derivatives)
• Gauss's Formula
• Gauss's Formulas
• Gauss's Forward Formula
• Gauss's Harmonic Function Theorem
• Gauss's Hypergeometric Theorem
• Gauss's Inequality
• Gauss's Interpolation Formula
• Gauss's Lemma
• Gauss's Machin-Like Formula
• Gauss's Mean-Value Theorem
• Gauss's Polynomial Theorem
• Gauss's Reciprocity Theorem
• Gauss's Test
• Gauss's Theorem
• Gauss's Theorema Egregium
• Gauss's Transformation
• Gear Graph
• Gegenbauer Function
• Gegenbauer Polynomial
• Gelfond-Schneider Constant