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The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.
Ptolemy used a circle of diameter 120, and gave chord lengths accurate to two sexagesimal (base sixty) digits after the integer part. [2] The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle.
The Red Cross symbol. The Red Cross on white background was the original protection symbol declared at the 1864 Geneva Convention. The ideas to introduce a uniform and neutral protection symbol as well as its specific design originally came from Dr. Louis Appia, a Swiss surgeon, and Swiss General Henri Dufour, founding members of the International Committee.
The American Invitational Mathematics Examination (AIME) is a selective 15-question, 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics examination (formerly known as the AHSME), and starting in 2010, those who rank in the top 2.5% on the AMC 10. Two different versions of the test are administered ...
The American Red Cross in the war was a quasi-state organization and a non-governmental organization, as it was not officially part of the United States Government. The American Red Cross in the war focused principally on overseas civilian aid and not domestic disaster relief.
Most commonly, these rings are drawn as three circles in the plane, in the pattern of a Venn diagram, alternatingly crossing over and under each other at the points where they cross. Other triples of curves are said to form the Borromean rings as long as they are topologically equivalent to the curves depicted in this drawing.
The American Junior Red Cross was founded in 1917. President Woodrow Wilson announced the opening in a formal proclamation. [1] [2] Henry Noble MacCracken formulated the plan in consultation with other educators. [3] The idea was to allow and encourage juniors to assist their country through the American Red Cross.
A math circle is an extracurricular activity intended to enrich students' understanding of mathematics. The concept of math circle came into being in the erstwhile USSR and Bulgaria, around 1907, with the very successful mission to "discover future mathematicians and scientists and to train them from the earliest possible age". [1]