GEOMETRIC PROBLEMS ON MAXIMA AND MINIMA

By V. GIERR

CONTENTS METHODS FOR FINDING GEOMETRIC EXTREMA EMPLOYING GEOMETRIC TRANSFORMATIONS EMPLOYING ALGEBRAIC INEQUALITIES EMPLOYING CALCULUS THE METHOD OF PARTIAL VARIATION THE TANGENCY PRINCIPLE SELECTED TYPES OF GEOMETRIC EXTREMUM PROBLEMS ISOPERIMETRIC PROBLEMS EXTREMAL POINTS IN TRIANGLE AND TETRAHEDRON MALFATTI’S PROBLEMS EXTREMAL COMBINATORIAL GEOMETRY PROBLEMS MISCELLANEOUS TRIANGLE INEQUALITY SELECTED GEOMETRIC INEQUALITIES MAXMIN AND MINMAX AREA AND PERIMETER POLYGONS IN A SQUARE BROKEN LINES DISTRIBUTION OF POINTS COVERINGS HINTS AND SOLUTIONS TO THE EXERCISES 4 10 TRIANGLE INEQUALITY 4 11 SELECTED GEOMETRIC INEQUALITIES 4 12 MAXMIN AND MINMAX 4 13 AREA AND PERIMETER 4 14 POLYGONS IN A SQUARE 4 15 BROKEN LINES 4 16 DISTRIBUTION OF POINTS 4 17 COVERINGS