Search results
Results from the WOW.Com Content Network
For four points in order around a circle, Ptolemy's inequality becomes an equality, known as Ptolemy's theorem: ¯ ¯ + ¯ ¯ = ¯ ¯. In the inversion-based proof of Ptolemy's inequality, transforming four co-circular points by an inversion centered at one of them causes the other three to become collinear, so the triangle equality for these three points (from which Ptolemy's inequality may ...
In graph theory, a Ptolemaic graph is an undirected graph whose shortest path distances obey Ptolemy's inequality, which in turn was named after the Greek astronomer and mathematician Ptolemy. The Ptolemaic graphs are exactly the graphs that are both chordal and distance-hereditary ; they include the block graphs [ 1 ] and are a subclass of the ...
To make a custom Monopoly board, DO NOT edit this template. Copy the template code below, paste into your article or user page edit window, then follow the instructions for editing. Below is the template code (with standard property data filled in) that you can use to produce a board detail.
To make a custom Monopoly board, DO NOT edit this template. Copy the template code below, paste into your article or user page edit window, then follow the instructions for editing. Below is the template code (with standard property data filled in) that you can use to produce a board layout.
More generally, if the quadrilateral is a rectangle with sides a and b and diagonal d then Ptolemy's theorem reduces to the Pythagorean theorem. In this case the center of the circle coincides with the point of intersection of the diagonals. The product of the diagonals is then d 2, the right hand side of Ptolemy's relation is the sum a 2 + b 2.
Discover the best free online games at AOL.com - Play board, card, casino, puzzle and many more online games while chatting with others in real-time.
Template: London Monopoly board layout. ... Download as PDF; Printable version; ... MONOPOLY: Regent Street £300: Marlborough Street £180:
Bennett's inequality, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount Bhatia–Davis inequality , an upper bound on the variance of any bounded probability distribution