The Heart of Mathematics: An Invitation to Effective Thinking

4th Edition

ISBN: 9781118156599

Author: Edward B. Burger, Michael Starbird

Publisher: Wiley, John & Sons, Incorporated

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Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Textbook Question

Chapter 4.3, Problem 11MS

Circular logic? (H). Take a Golden Rectangle and draw the largest circle inside it that touches three sides. The circle will touch two opposite sides of the rectangle. If we connect those two points with a line and then cut the rectangle into two pieces along that line, will either of the two smaller rectangles be a Golden Rectangle? Explain your reasoning.

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Chapter 4.3, Problem 10MS

Chapter 4.3, Problem 12MS

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Chapter 4 Solutions

The Heart of Mathematics: An Invitation to Effective Thinking

Ch. 4.1 - The main event. State the Pythagorean Theorem.Ch. 4.1 - Two out of three. If a right triangle has legs of...Ch. 4.1 - Hypotenuse hype. If a right triangle has legs of...Ch. 4.1 - Assesing area. Suppose you know the base of a...Ch. 4.1 - Squares all around. How does the figure below...Ch. 4.1 - Operating on the triangle. Using a straightedge,...Ch. 4.1 - Excite your friends about right triangles....Ch. 4.1 - Easy as 1,2,3? Can there be a right triangle with...Ch. 4.1 - Sky high (S). On a sunny, warm day, a student...Ch. 4.1 - Sand masting (H). The sailboat named Sand Bug has...

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