Topics in Elementary Geometry

• Κύριος συγγραφέας: Bottema, O. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2008.
• Θέματα: Mathematics.; Geometry.

This small book has for a long time been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, Poncelet's polygons, and many other subjects. In addition, this book contains recent, geometric theorems which have b...

Πίνακας περιεχομένων:

• The Pythagorean Theorem
• Ceva#x02019;s Theorem
• Perpendicular Bisectors; Concurrence
• The Nine-Point Circle and Euler Line
• The Taylor Circle
• Coordinate Systems with Respect to a Triangle
• The Area of a Triangle as a Function of the Barycentric Coordinates of Its Vertices
• The Distances from a Point to the Vertices of a Triangle
• The Simson Line
• Morley#x02019;s Triangle
• Inequalities in a Triangle
• The Mixed Area of Two Parallel Polygons
• The Isoperimetric Inequality
• Poncelet Polygons
• A Closure Problem for Triangles
• A Class of Special Triangles
• Two Unusual Conditions for a Triangle
• A Counterpart for the Euler Line
• Menelaus#x02019;s Theorem; Cross-Ratios and Reciprocation
• The Theorems of Desargues, Pappus, and Pascal
• Inversion
• The Theorems of Ptolemy and Casey
• Pedal Triangles; Brocard Points
• Isogonal Conjugation; the Symmedian Point
• Isotomic Conjugation
• Triangles with Two Equal Angle Bisectors
• The Inscribed Triangle with the Smallest Perimeter; the Fermat Point.