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A person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...
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.
Suppose a ladder 60 feet long is placed in a street so as to reach a window 37 feet above the ground on one side of the street...
Paul Halmos Photograph Collection, page 2: Arveson, Aschbacher, Askey, Lininger, Atiyah, Doob
A man plants 4 kernels of corn, which at harvest produce 32 kernels: these he plants the second year; now supposing the annual increase to continue 8 fold, what would be the produce of the 15th year, allowing 1000 kernels to a pint?
This is the title page to Rene Descartes' Treatise on Method, with its three famous essays on Dioptrics, Meteorology, and Geometry. The third essay contains Descartes' treatment of analytic geometry as well as his theory of equations and his rule for finding the normal to a given curve.
This is the opening page of the section of the geometrical work of Oronce Fine (1494-1555) dealing with Euclid's work on circles. This is part of Fine's major work entitled Protomathesis, which covered arithmetic, astronomy and astronomical instruments, as well as geometry.
Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the length of those sides.
In a given square, inscribe 4 equal circles so that...
This is an invited working conference as part of the ICMI Study Series.