**ERIC Number:**ED186276

**Record Type:**RIE

**Publication Date:**1971

**Pages:**1079

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

A Vector Approach to Euclidean Geometry: Vector Spaces and Affine Geometry, Volume 1. Teacher's Edition.

Vaughan, Herbert E.; Szabo, Steven

This is the teacher's edition of a text for the first year of a two-year high school geometry course. The course bases plane and solid geometry and trigonometry on the fact that the translations of a Euclidean space constitute a vector space which has an inner product. Volume 1 deals largely with affine geometry, and the notion of dimension is introduced only in the last chapter. The principal geometric topics of this volume are parallelism of lines and planes, and ratios. This makes possible a good deal of the geometry of triangles and quadrilaterals. This commentary contains answers to all problems, sample quizzes, chapter tests, suggestions on teaching the texts, and a great deal of mathematical and logical background material which has proved helpful in orienting teachers. (Author/MK)

**Publication Type:**Guides - Classroom - Teacher

**Education Level:**N/A

**Audience:**N/A

**Language:**English

**Sponsor:**National Science Foundation, Washington, DC.

**Authoring Institution:**Illinois Univ., Urbana. Committee on School Mathematics.

**Identifiers:**Vectors (Mathematics)

**Note:**For related document, see SE 030 756. Not available in hard copy due to small print throughout entire document.