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Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.

A math history class visits the 'Beautiful Science' exhibit at the Huntington Library in Southern California.

Howard Eves' sixth edition is still worth considering for a textbook.
Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
A gentleman has bought a rectangular piece of land whose perimeter is to be 100 rods.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
A man hired a horse in London at 3 pence a mile. He rode 94 miles due West to Bristol then due north to Chester, whence he returned toward London for 66 miles, which put him in Coventry.
Make a crown of gold copper, tin, and iron weighing 60 minae: gold and copper shall be 2/3 of it; gold and tin, 3/4 of it; and gold and iron, 3/5 of it. Find the required weights of gold, copper, tin, and iron.
The author presents five modules based on mathematics from medieval Islamic cultures for use in a variety of high school and college mathematics courses.
The beginnings of land measurement in the early United States and how this affected American democracy.

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