Basic Geometry - Manual for Teachers by George David Birkhoff, Ralph Beatley

By George David Birkhoff, Ralph Beatley

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Extra resources for Basic Geometry - Manual for Teachers

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Is an undefined term. It will be noted that in this geometry "angle" If this undefined term connotes - as it does to most people - a concept that is unique, then the configuration shown in Fig. 5 is highly ambiguous. For this configuration shove two angles AVB of less than 360 degrees In absolute value and indefinitely many more of more than 360 degrees. A possible alternative is to bind up all this ambiguity in the connotation of the undefined term itself, so that it shall mean all possible angles AVB to all people.

See page 49. 11. This exercise extends end generalizes the Ideas of Exa. 1-3 on page W. (161 - 106) (37 - 161) - (37 - 106) 12. 37 ! 90 + 13. E. of Toggenburg 15. 1 and - 56 - CHAPTER 3 Lesson Plan Outline: 19 lessons 1. Through pages 73-74, Exs. 1-8 2. Exs. 9, 10, 13, 14, page 75; through Mrs. 1-2, page 77 3. Page 75, Exs. 11-12, page 78, &s. 4-6, 8 4. Page 78, Ex. 7; pages 80-81. Exe. 1-6 5. Page 82, EKG. 7-8. Prove Principle 9. Page 84, Ex. 1 6-9. Pages 84-87, Exs. 2-23 10. Principles 10, 11, 12 (excluding converse) 11.

3. These exercises extend and generalise the Ideas of Ex. 1 on page 41. 7 5. 1 4. 6. 1 7-8 Bee pages 43-44. Line-segment BC consists of the points P and C and e11 the points between them. 1. 2. 9. Bee page 47. 10. see page 49. 11. This exercise extends end generalizes the Ideas of Exa. 1-3 on page W. (161 - 106) (37 - 161) - (37 - 106) 12. 37 ! 90 + 13. E. of Toggenburg 15. 1 and - 56 - CHAPTER 3 Lesson Plan Outline: 19 lessons 1. Through pages 73-74, Exs. 1-8 2. Exs. 9, 10, 13, 14, page 75; through Mrs.

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