pappus chain造句

• Several generalizations of Steiner chains exist, most notably Soddy's hexlet and Pappus chains.
• In the former case, this corresponds to a Pappus chain, which has an infinite number of circles.
• This property is also shared with the Pappus chain of circles, which can be construed as a special limiting case of the Steiner chain.
• V into two parallel lines, and the circles of the Pappus chain into a stack of equally sized circles sandwiched between the two parallel lines.
• The same inversion can be used to show that the points where the circles of the Pappus chain are tangent to one another lie on a common circle.
• The sum of the distances from the center point of the " k " th circle of the Pappus chain to the two centers "'A "'and "'B "'of the fixed circles equals a constant
• If the two given circles are tangent at a point, the Steiner chain becomes an infinite Pappus chain, which is often discussed in the context of the arbelos ( " shoemaker's knife " ), a geometric figure made from three circles.