Day 21
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Math 444, Monday, 11/15
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| Sponsor |
Today's class is brought to you by Triple
Line Reflections |
| Topics |
Solving equations
of isometries An important theorem for Isometries. |
| Class Schedule |
- Solving ab = cd for c or d. Notes
with solutions.
- Given 3 parallel lines m1, m2, m3, denote the reflections in these
lines by M1, M2, M3. The triple reflection M3 M2 M1 is a line reflection.
Construct the line n so that N, the line reflection in n satisfies N
= M3 M2 M1.
- An isometry is determined by its value on 3 noncollinear points --
"three thumbtack" theorem More formally, Brown calls this
the First Fundamental Theorem of Isometries.. Proof.
- CIDR evaluation.
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| Assignments |
| New |
Reading Assignment (due Wednesday 11/17)
Read: Brown, Sections 1.9, 1.10
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| Due Today |
Read Brown, 1.7, 1.8
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| Ongoing |
Assignment 8 (due Wed 11/17)
Construction
Portfolio #3 (bring to lab, Wed, 11/10 -- more than
half should be done).
Group 5: Quadrilateral.
Due Thursday 11/18 11:59 PM. (pdf)
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