Recent changes to Interactive Mathematics Miscellany and PuzzlesInteractive Mathematics Miscellany and Puzzles is a frequently updated site. Here are the most recent addtions. For other changes please visit the site.Two Conics, Pascal, Chasles, and Cross-RatioSi xpoints on a conic with the segments joining the opposite ones collinear lead to another conic
http://www.cut-the-knot.org/m/Geometry/BuratinoPart2.shtml
Construct Triangle by Angle, Altitude and MedianConstruct Triangle by median mb, altitude ha and angle at A
http://www.cut-the-knot.org/m/Geometry/TriangleFrom_mb_ha_A.shtml
A Conic in a TriangleThree lines parallel to the sides of a triangle through a given point cut the sides in si xpoints that lie on a conic
http://www.cut-the-knot.org/m/Geometry/BuratinoPascal.shtml
Concurrence in ArbelosAbelos consists of three semicircles. The circles, with centers at the tops of the arcs, passing through the endpoints of the semicircles, are concurrent
http://www.cut-the-knot.org/m/Geometry/GarciaArbelos.shtml
Areas in Two Parallelograms and a TranslationWhen one parallelogram is entirely within another the sum of two opposite areas so formed does not change on translation of the small parallelogram
http://www.cut-the-knot.org/m/Geometry/BuratinoAreaLemma.shtml
Triangle from Angle Bisector, Altitude and InradiusTriangle from Angle Bisector, Altitude and Inradius
http://www.cut-the-knot.org/triangle/TriangleFrom_la_ha_rr.shtml
Triangle from Median, Altitude and CircumradiusTriangle from Median, Altitude and Circumradius
http://www.cut-the-knot.org/triangle/TriangleFrom_ma_ha_R.shtml
An Equation Involving the Total Number of DigitsGiven positive integer n find the largest positive integer k such that the sequence 1, 2, 3, 4, ..., k-1, k has a total of n*k digits
http://www.cut-the-knot.org/arithmetic/SumOfDigits.shtml
Triangle from Angle Bisector, Altitude and CircumradiusTriangle from Angle Bisector, Altitude and Circumradius
http://www.cut-the-knot.org/triangle/TriangleFrom_la_ha_R.shtml
An Equation Involving Four Collinear PointsAn equation with distances involving four collinear points in the plane
http://www.cut-the-knot.org/arithmetic/algebra/EquationWithFoutPointsOnLine.shtml