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<TABLE CELLSPACING=0 CELLPADDING=0><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=80></TD><TD>List of Color Plates</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>ix</TD><TD></TD></TR><TR><TD>Preface</TD><TD WIDTH=40></TD><TD VALIGN=TOP>xi</TD><TD></TD></TR><TR><TD>Prologue: Cambridge, England, 1993</TD><TD WIDTH=40></TD><TD VALIGN=TOP>1</TD><TD VALIGN=TOP>(3)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>1 Mesopotamia, 1800 BCE</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>4</TD><TD VALIGN=TOP>(13)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 1 Did the Egyptians Know It?</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>13</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>2 Pythagoras</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>17</TD><TD VALIGN=TOP>(15)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>3 Euclid's Elements</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>32</TD><TD VALIGN=TOP>(18)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 2 The Pythagorean Theorem in Art, Poetry, and Prose</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>45</TD><TD VALIGN=TOP>(5)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>4 Archimedes</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>50</TD><TD VALIGN=TOP>(7)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>5 Translators and Commentators, 500-1500 CE</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>57</TD><TD VALIGN=TOP>(19)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>6 Francois Viete Makes History</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>76</TD><TD VALIGN=TOP>(6)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>7 From the Infinite to the Infinitesimal</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>82</TD><TD VALIGN=TOP>(16)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 3 A Remarkable Formula by Euler</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>94</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>8 371 Proofs, and Then Some</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>98</TD><TD VALIGN=TOP>(25)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 4 The Folding Bag</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>115</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 5 Einstein Meets Pythagoras</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>117</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 6 A Most Unusual Proof</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>119</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>9 A Theme and Variations</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>123</TD><TD VALIGN=TOP>(22)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 7 A Pythagorean Curiosity</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>140</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 8 A Case of Overuse</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>142</TD><TD VALIGN=TOP>(3)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>10 Strange Coordinates</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>145</TD><TD VALIGN=TOP>(13)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>11 Notation, Notation, Notation</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>158</TD><TD VALIGN=TOP>(10)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>12 From Flat Space to Curved Spacetime</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>168</TD><TD VALIGN=TOP>(13)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 9 A Case of Misuse</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>177</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>13 Prelude to Relativity</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>181</TD><TD VALIGN=TOP>(7)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>14 From Bern to Berlin, 1905-1915</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>188</TD><TD VALIGN=TOP>(13)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Sidebar 10 Four Pythagorean Brainteasers</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>197</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>15 But Is It Universal?</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>201</TD><TD VALIGN=TOP>(7)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>16 Afterthoughts</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>208</TD><TD VALIGN=TOP>(5)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=20></TD><TD>Epilogue: Samos, 2005</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>213</TD><TD VALIGN=TOP>(6)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=20></TD><TD>Appendixes</TD></TR></TABLE></TD><TD WIDTH=40></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>A How did the Babylonians Approximate &radic;2?</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>219</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>B Pythagorean Triples</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>221</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>C Sums of Two Squares</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>223</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>D A Proof that &radic;2 is Irrational</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>227</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>E Archimedes' Formula for Circumscribing Polygons</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>229</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>F Proof of some Formulas from Chapter 7</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>231</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>G Deriving the Equation x2/3 + y2/3 = 1</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>235</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>H Solutions to Brainteasers</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>237</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD>Chronology</TD><TD WIDTH=40></TD><TD VALIGN=TOP>241</TD><TD VALIGN=TOP>(6)</TD></TR><TR><TD>Bibliography</TD><TD WIDTH=40></TD><TD VALIGN=TOP>247</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD>Illustrations Credits</TD><TD WIDTH=40></TD><TD VALIGN=TOP>251</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD>Index</TD><TD WIDTH=40></TD><TD VALIGN=TOP>253</TD><TD></TD></TR></TABLE>

xvi, 259 pages : illustrations (some color), maps, music ; 25 cm

The author presents a complex history of the Pythagorean Theorem, examining the earliest evidence of knowledge of the theorem to Einstein's theory of relativity

The Pythagorean theorem : a 4,000-year history