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Prove that the area of a regular polygon can be given by the product of its perimeter and half the radius of the inscribed circle.
An oblong garden is a half yard longer than it is wide and consists entirely of a gravel walk...

Images from Frans van Schooten's 1659 edition of The Geometry of Rene Descartes

Find the two numbers such that multiplying one by the other makes 8 and the sum of their squares is 27
Find the greatest value of y in the equation a4 x2= (x2 + y2)3.
I found a stone but did not weigh it; after I added to it 1/7 of its weight and then 1/11 of this new weight, I weighed the total at 1 mina. What was the weight of the stone?
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
Show that the curves x2 - y2 = a2 and 2 xy = b2 cross at right angles.
The incircle O(r) of triangle ABC touches AB at D, BC at E and AC at F. Find r in terms of AD, BE and CF.

Howard Eves' sixth edition is still worth considering for a textbook.

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