In the situation with zero slope both lines are parallel and the intersection point vanishes. Pdf international baccalaureate mathematics exploration. Chances are, you will come across to a collection geometrical drawings. Convertio advanced online tool that solving any problems with any files. The pappus chain can be obtained as a geometric inversion of a column of circles with equal radii. Pappus chains pappus chains as here defined are formed by dividing the diameter of a semicircle into two parts, the left hand part forming the diameter of a second semicircle within the first one. Easy to use, no registration and 100% secure to use. The chain of circles that fills an arbelos shoemakers knife was first studied by the greek mathematician, pappus of alexandria.
A pappus chain is an infinite sequence of circles tangent externally to the first two semicircles and to each other. Digital approaches to visualization of geometric problems. Digital approaches to visualization of geometric problems in wooden sangaku tablets. After this the point comes back from a very far position on. Considering a line passing through the centers of two circles in a pappus chain, we give a theorem analogue to pappus chain theorem. The rest of the theorem can be proved in a similar way. It is not easy to construct the circles which must be tangent to adjacent circles and the circular arcs that make up the arbelos.
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