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The cavity of our chimney is an upright parallelepiped, the diagonal of whose base is 60"; and the height of the lower side of the lintel above the plane of the floor is 40".
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
An argument that the teaching of elementary integration should better reflect its historical development
Howard Eves' sixth edition is still worth considering for a textbook.
Title page of Jacob Bernoulli's Ars Conjectandi (The Art of Conjecturing), published posthumously in 1713 by his nephew Nicolaus I Bernoulli. The Ars Conjectandi is famous for Bernoulli's statement of a general rule for summing integral powers as well as for the first statement and proof of the Law of Large Numbers.
The triangle ABC has a right angle at C. Show that 1/ED=1/AC+1/AB
Find two number with sum 20 and when squared their sum is 208.
A tree is 20 feet tall and has a circumference of 3 feet. There is a vine that winds seven equally spaced times around the tree and reaches the top. What is the length of the vine?
If an equilateral triangle whose area is equal to 10,000 square feet be surrounded by a walk of uniform width, and equal to the area of the inscribed circle, what is the width of the walk?

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