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Approximations

0.70710571        = 408 / 577
0.70710678        = √2 / 2 = sin 45° = cos 45°
0.86602540        = √3 / 2 = sin 60° = cos 30°
0.86607142        = 97 / 112
1.41421356   √2   Pythagoras' constant
1.41428571        = 99 / 70
1.61803398   φ    Golden ratio
1.61818181        = 89 / 55
2.71828182   e    Napier's constant (Euler's number)
2.71830985        = 193 / 71
3.14150943        = 666 / 212
3.14159265   π    Archimedes' constant (Ludolph's number)
3.14159292        = 355 / 113
3.14285714        = 22 / 7

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