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When and Where Were You Born
What Was Your Father's Occupation
Any Special Memories You'D Like To Share as a Child Growing Up with
Rachel
Did Your Family Leave Germany
Favorite Things
What Was Your Favorite Food That Your Mother Cooked for You
Their Attitude towards Jews
How Many Grandchildren Do You Have
Did You Write a Book
Area and volume; setting up affine geometry as independent of distance
Area of a parallelogram
General formula for area of a parallelogram; one of the most important formulas in mathematics
Algebraic approach to measuring area; bi-vector (Herman Grassmann); Grassmann algebra
Bi-vectors; torque
Linear momentum; conservation of momentum; momentum and force; Bi-vectors; angular momentum; torque
Bi-vector and electromagnetism; cross-product mentioned
Bi-vectors in the plane; operations on bi-vectors
Bi-vector Distributive laws
Claim: In the plane, every bi-vector is a multiple of the bi-vector of base vectors; geometric proof; algebraic proof
Example using the result of the previous page; in affine geometry area is a relative concept
2 More examples; Ratios of areas are affine geometry invariants
3_dim affine space; vector, bi-vector, tri-vector; pg 14: @ using tri-vectors to compute a volume
Exercises 4.(1:2)
Exercise 4.3. (THANKS to EmptySpaceEnterprise)