**ERIC Number:**ED186277

**Record Type:**RIE

**Publication Date:**1973

**Pages:**988

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

A Vector Approach to Euclidean Geometry: Inner Product Spaces, Euclidean Geometry and Trigonometry, Volume 2. Teacher's Edition.

Vaughan, Herbert E.; Szabo, Steven

This is the teacher's edition of a text for the second 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. Congruence is a geometric topic reserved for Volume 2. Volume 2 opens with an analysis of basic properties of perpendicularity and distance which leads to the introduction of an inner product of translations and to the development of Euclidean geometry and trigonometry. The basic facts concerning volume-measures of solids are dealt with in an appendix to Volume 2. The commentary contains answers to all exercises and questions raised in the text, sample (or suggested) quizzes, keys to the chapter tests, suggestions to the teacher, and a great deal of mathematical and logical background material which has proved to be helpful in orienting teachers in preparation for teaching the course. (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 030 755. Not available in hard copy due to small print throughout entire document.