Digital approaches to visualization of geometric problems. Chances are, you will come across to a collection geometrical drawings. The pappus chain can be obtained as a geometric inversion of a column of circles with equal radii. Easy to use, no registration and 100% secure to use. Convertio advanced online tool that solving any problems with any files. Pappus chain starting with the circle tangent to the three semicircles forming the arbelos, construct a chain of tangent circles, all tangent to one of the two small interior circles and to the large exterior one. An analogue to pappus chain theorem with division by zero 411 proof. Pdf international baccalaureate mathematics exploration. The chain of circles that fills an arbelos shoemakers knife was first studied by the greek mathematician, pappus of alexandria. Best way to convert your plt to pdf file in seconds. It is not easy to construct the circles which must be tangent to adjacent circles and the circular arcs that make up the arbelos. An analogue to pappus chain theorem with division by zero. Considering a line passing through the centers of two circles in a pappus chain, we give a theorem analogue to pappus chain theorem. In the situation with zero slope both lines are parallel and the intersection point vanishes.
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