T Sundara Rows Geometric Exercises in Paper Folding

Cover T Sundara Rows Geometric Exercises in Paper Folding
T Sundara Rows Geometric Exercises in Paper Folding
T Tandalam Sundara Rao
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As A moves back to O, B moves forward to infinity. The polar of the center of inversion or the polar center is the line at infinity.
222. The angle between the polars of two points is equal to the angle subtended by these points at the polar center.
223. The circle described with B as a center and BC as a radius cuts the circle CDE orthogonally.
224. Bisect AB in L and fold LN perpendicular to AB. Then all circles passing through A and B will have their centers on this line. These circles cut t
...he circle CDE orthogonally. The circles circum scribing the quadrilaterals ABFH and ABGK are such circles. AF and AG are diameters of the re spective circles. Hence if two circles cut orthogon ally the extremities of any diameter of either are con jugate points with respect to the other.
225. The points O, A, //and K are concyclic. H, A, K being inverses of points on the line FBG, the inverse of a line is a circle through the center of in version and the pole of the given line, these points being the extremities of a diameter ; and conversely.


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