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A version of the Serenity prayer appearing on an Alcoholics Anonymous medallion (date unknown).. The Serenity Prayer is an invocation by the petitioner for wisdom to understand the difference between circumstances ("things") that can and cannot be changed, asking courage to take action in the case of the former, and serenity to accept in the case of the latter.
The Ancient Tradition of Geometric Problems studies the three classical problems of circle-squaring, cube-doubling, and angle trisection throughout the history of Greek mathematics, [1] [2] also considering several other problems studied by the Greeks in which a geometric object with certain properties is to be constructed, in many cases through transformations to other construction problems. [2]
The game starts with an arbitrary number (n) of dots or crosses. At each turn, the player chooses to add either a dot, or a cross, along the line they have just drawn. The duration of the game lays between (2n) and (5n − 2), depending on the number of dots or crosses having been added. For n = 1, starting with a dot, the game will end after 2 ...
Morning Prayer from the 1777 New England Primer: [1] Almighty God the Maker of every thing in Heaven and Earth; the Darkness goes away, and the Day light comes at thy Command. Thou art good and doest good continually. I thank thee that thou has taken such Care of me this Night, and that I am alive and well this Morning.
A problem solved exclusively in the Method is the calculation of the volume of a cylindrical wedge, a result that reappears as theorem XVII (schema XIX) of Kepler's Stereometria. Some pages of the Method remained unused by the author of the palimpsest and thus they are still lost.
Moser's worm problem (also known as mother worm's blanket problem) is an unsolved problem in geometry formulated by the Austrian-Canadian mathematician Leo Moser in 1966. The problem asks for the region of smallest area that can accommodate every plane curve of length 1.
In application areas, the dot planimeter is a transparency-based device for estimating the area of a shape by counting the grid points that it contains. [26] The Farey sequence is an ordered sequence of rational numbers with bounded denominators whose analysis involves Pick's theorem.
In mathematics, the signature (v, p, r) [clarification needed] of a metric tensor g (or equivalently, a real quadratic form thought of as a real symmetric bilinear form on a finite-dimensional vector space) is the number (counted with multiplicity) of positive, negative and zero eigenvalues of the real symmetric matrix g ab of the metric tensor with respect to a basis.