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This is the title page of the Nova Scientia (1537) of Niccolo Tartaglia (1499-1557). In this work, Tartaglia discussed the mathematics of artillery and developed methods for determining the range of a cannon.

A cliff with a tower on its edge is observed from a boat at sea; find the height of the cliff and the tower.

Apollonius found how to draw normals to an ellipse from points in the ellipse by using hyperbolas. A modern version is presented here.

Two circles of radii 25 feet intersect so that the distance between their centers is 30 feet. What is the length of the side of the largest square inscribable within their intersecting arcs?

Rabbits and pheasants are put in a basket.

Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.

A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.

A sketch of the history of topology, beginning with the polyhedron formula, but continuing up to the present.

There is a round fish pond of certain dimensions, and into the pond is dropped a marble column. How high will the water rise?

A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.