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The cost per hour of running a certain steamboat is proportional to the cube of its velocity in still water. At what speed should it be run to make a trip up stream against a four-mile current most economically?
Here is the title page of part I of the General Trattato di Numeri (General Treatise on Number and Measure) (1556) of Niccolo Tartaglia (1500-1557). This is an extensive work on elementary mathematics that was popular in Italy for several decades after its publication.
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
Prove geometrically that the hypocycloid is a straight line when the radius of the rolling circle is one-half the radius of the fixed circle.
As for a square piece of land that amounts to 100 square cubits, if it is said to you, "Cause it to make a piece of land that amounts to 100 square cubits that is round," what is the required diameter?
Given the frustum of a circular cone with height h.
A certain merchant increases the value of his estate by 1/3...
A set of n disjoint, congruent circles packs the surface of a sphere S so that each region of the surface exterior to the circles is bounded by arcs of three of the circles.
Here are some things I don't want to forget to ask.
How much does Landowner A give to each worker knowing Landowner B gives a certain amount more and has few workers.