1. Thales is said to have invented a method of finding distances of ships from shore. Suppose A is a point on the shore and S is a ship. You walk along the shore to a point C, and point B is the midpoint of AC. Then walk on land perpendicular to AC and stop at point E so that you line up your site with the ship through point B. Using only the six theorems attributed to Thales, tell how you can find the distance AS from ship to shore. E FO B S

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Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
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Early Greek Mathematics

1. Thales is said to have invented a method
of finding distances of ships from shore.
Suppose A is a point on the shore and S is a
ship. You walk along the shore to a point C,
and point B is the midpoint of AC. Then walk
on land perpendicular to AC and stop at point
E so that you line up your site with the ship
through point B. Using only the six theorems
attributed to Thales, tell how you can find the
distance AS from ship to shore.
B
Transcribed Image Text:1. Thales is said to have invented a method of finding distances of ships from shore. Suppose A is a point on the shore and S is a ship. You walk along the shore to a point C, and point B is the midpoint of AC. Then walk on land perpendicular to AC and stop at point E so that you line up your site with the ship through point B. Using only the six theorems attributed to Thales, tell how you can find the distance AS from ship to shore. B
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