Best way to convert your plt to pdf file in seconds. Digital approaches to visualization of geometric problems in wooden sangaku tablets. Chances are, you will come across to a collection geometrical drawings. Considering a line passing through the centers of two circles in a pappus chain, we give a theorem analogue to pappus chain theorem. Digital approaches to visualization of geometric problems. An analogue to pappus chain theorem with division by zero 411 proof. If you ever had the opportunity to visit iran, take time to look at the intriguing geometrical shapes that are carved onto the interior and exterior of old buildings and mosques.
An analogue to pappus chain theorem with division by zero. 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. In the situation with zero slope both lines are parallel and the intersection point vanishes. 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. Easy to use, no registration and 100% secure to use.
The rest of the theorem can be proved in a similar way. A pappus chain is an infinite sequence of circles tangent externally to the first two semicircles and to each other. Pdf international baccalaureate mathematics exploration. The pappus chain can be obtained as a geometric inversion of a column of circles with equal radii. Convertio advanced online tool that solving any problems with any files.
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