Pappus Chain
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the Pappus chain was created by Pappus of Alexandria in the 3rd century AD.The arbelos is defined by two circles, CU and CV, which are tangent at the point A and where CU is enclosed by CV. Let the radii of these two circles be denoted as rU and rV, respectively, and let their respective centers be the points U and V. The Pappus chain consists of the circles in the shaded grey region, which are externally tangent to CU (the inner circle) and internally ta...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the Pappus chain was created by Pappus of Alexandria in the 3rd century AD.The arbelos is defined by two circles, CU and CV, which are tangent at the point A and where CU is enclosed by CV. Let the radii of these two circles be denoted as rU and rV, respectively, and let their respective centers be the points U and V. The Pappus chain consists of the circles in the shaded grey region, which are externally tangent to CU (the inner circle) and internally tangent to CV (the outer circle). Let the radius, diameter and center point of the nth circle of the Pappus chain be denoted as rn, dn and Pn, respectively.
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