Cartoon Calculus: Ch 3 (Area)

Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion

Page 29: Nothing could be simpler…

Pages 30-31: In the last chapter… // The big idea here…

Pages 32-33: Using this chopping technique… // The basic idea was nice expressed…

MB: I like Cavalieri! I had never heard of him, And the approximations to pi; very nice.

Pages 34-35: In fact, the same basic idea… // Their basic approach was to take a circle…

FC: P.34-40 – Q: Is the “ancient Chinese gent” wearing Japanese getas? – Traditional footwear cultural sensitivities.

Pages 36-37: Their real genius… // …to a hexadecagon…

Pages 38-39: There are two obvious questions… // First, calculate the height.

Pages 40-41: The second obvious question is… // The way we use integral calculus…

Page 42: Next we’ll tie everything together…

Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion

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