## Chases and Escapes: |

- 1.1 Pierre Bouguer's Pirate Ship Analysis 7
- 1.2 A Modern Twist on Bouguer 17
- 1.3 Before Bouguer: The Tractrix 23
- 1.4 The Myth of Leonardo da Vinci 27
- 1.5 Apollonius Pursuit and Ramchundra's Intercept Problem 29
- 2.1 Hathaway's Dog-and-Duck Circular Pursuit Problem 41
- 2.2 Computer Solution of Hathaway's Pursuit Problem 52
- 2.3 Velocity and Acceleration Calculations for a Moving Body 64
- 2.4 Houghton's Problem: A Circular Pursuit That Is Solvable in Closed Form 78
- 2.5 Pursuit of Invisible Targets 85
- 2.6 Proportional Navigation 93
- 3.1 A Brief History of the n-Bug Problem, and Why It Is of Practical Interest 106
- 3.2 The Symmetrical n-Bug Problem 110
- 3.3 Morley's Nonsymmetrical 3-Bug Problem 116
- 4.1 The Lady-in-the-Lake Problem 128
- 4.2 Isaacs's Guarding-the-Target Problem 138
- 4.3 The Hiding Path Problem 143
- 4.4 The Hidden Object Problem: Pursuit and Evasion as a Simple Two-Person, Zero-Sum Game of Attack-and-Defend 156
- 4.5 The Discrete Search Game for a Stationary Evader -- Hunting for Hiding Submarines 168
- 4.6 A Discrete Search Game with a Mobile Evader -- Isaacs's Princess-and-Monster Problem 174
- 4.7 Rado's Lion-and-Man Problem and Besicovitch's Astonishing Solution 181
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