Last modified: Tue 7 August 15:15:54 IST 2018
MH4749 — Geometry
This module is not taught at the moment
Contact Information
Name |
Dr. Bernd Kreussler |
Office |
N29 |
Internal Telephone |
4578 |
Email |
bernd.kreussler@mic.ul.ie |
WWW |
www.maths.mic.ul.ie/kreussler/ |
Some Links of interest
Plan of the lecture 2017/18
- Pythagoras
- Area
- The Theorem of Pythagoras
- Constructions with Ruler and Compass
- Congruence and Similarity
- The Intercept Theorem
- Parallel Lines
- Similar Triangles
- Congruence Theorems
- Pons Asinorum
- Circles and Triangles
- Degrees and Radians
- Inscribed and Central Angles
- Regular Polygons
- Tangents and Angles
- Power of a Point
- Triangle Centres
- Trigonometry
- Trigonometric Functions
- Addition Theorems
- Sine Rule and Cosine Rule
- Calculating Triangles
- Coordinates
- Cartesian Coordinates
- Lines and Circles
- Polar Coordinates
- Conics
- Vectors and Symmetry
- Dot Product, Length and Angle Measure
- Cross Product
- Lines and Planes
- Orthogonal Projections and Linear Mappings
- Orthogonal Mappings and Isometries
- Symmetry
- Spherical Trigonometry
- Spherical Coordinates
- Spherical Triangles
- Sine Rule and Cosine Rule
- Spherical Distance and Area
- Non-Euclidean Geometry
- Euclid's Postulates
- Modern View on Euclidean Geometry
- Hyperbolic and Elliptic Geometry
Textbooks
- OSTERMANN, A., WANNER, G., Geometry by Its History, (Springer) 2012.
- COXETER, H.S.M., Introduction to Geometry, (John Wiley & Sons) 1961.
- BYER, O., LAZEBNIK, F., SMELTZER, D., Methods for Euclidean Geometry,
(MAA) 2010.
- GARDINER, A.D., BRADLEY, C.J., Plane Euclidean Geometry: Theory and
Problems, (UKMT) 2005.
- BARKER, W., HOWE, R., Continuous Symmetry, From Euclid to Klein, (AMS)
2007.
- LANG, S., MURROW, G., Geometry, A High School Course, (Springer) 1983.
Mary Immaculate College, South Circular Road, Limerick, Ireland,
Tel: +35361 204300