231. The Book of Lemmas: Proposition 13

The Book of Lemmas: Proposition 13. If a diameter AB of a circle meet any chord CD, not a diameter, in E, and if AM, BN be drawn perpendicular to CD, then CN DM.
URL: http://www.cut-the-knot.org/Curriculum/Geometry/BookOfLemmas/BOL13.shtml - 27kb - 19 Jun 2006

232. The Book of Lemmas: Proposition 2

The Book of Lemmas: Proposition 2. Let AB be the diameter of a semicircle, and let the tangents to it at B and at any other point D on it meet in T. If now DE be perpendicular to AB, and if AT, DE meet in F, then DF FE.
URL: http://www.cut-the-knot.org/Curriculum/Geometry/BookOfLemmas/BOL2.shtml - 28kb - 19 Jun 2006

233. Perpendicular Bisectors in an Inscriptible Quadrilateral

Perpendicular Bisectors in an Inscriptible Quadrilateral form another inscripible quadrilateral
URL: http://www.cut-the-knot.org/Curriculum/Geometry/deVilliers3.shtml - 28kb - 19 Jun 2006

234. Easy Construction of Bicentric Quadrilateral

Easy Construction of Bicentric Quadrilateral
URL: http://www.cut-the-knot.org/Curriculum/Geometry/BicentricQuadri.shtml - 28kb - 19 Jun 2006

235. Archimedes' Twin Circles and a Brother

Archimedes' Twin Circles and a Brother
URL: http://www.cut-the-knot.org/Curriculum/Geometry/CircleTriplet.shtml - 28kb - 19 Jun 2006

236. Inversion: Reflection in a Circle

Inversion: Reflection in a Circle
URL: http://www.cut-the-knot.org/Curriculum/Geometry/SymmetryInCircle.shtml - 28kb - 19 Jun 2006

237. Easy Construction of Bicentric Quadrilateral II

Easy Construction of Bicentric Quadrilateral
URL: http://www.cut-the-knot.org/Curriculum/Geometry/BicentricQuadri2.shtml - 28kb - 19 Jun 2006

238. Maxwell's Theorem

Maxwell's Theorem: given a triangle ABC and cevians through a point P. If the sides of triangle A'B'C' are parallel to the cevians through P, then the cevians of A'B'C' parallel to the sides of ABC are concurrent
URL: http://www.cut-the-knot.org/Curriculum/Geometry/Maxwell.shtml - 28kb - 19 Jun 2006

239. The Book of Lemmas: Proposition 1

The Book of Lemmas: Proposition 1. In two tangent circles, the endpoints of parallel diameters are collinear with the common point of the circles.
URL: http://www.cut-the-knot.org/Curriculum/Geometry/BookOfLemmas/BOL1.shtml - 28kb - 19 Jun 2006

240. Quadrilaterals Formed by Perpendicular Bisectors

Quadrilaterals Formed by Perpendicular Bisectors: perpendicular bisectors of the sides of a quadrilateral form a quadrilateral, and so on.
URL: http://www.cut-the-knot.org/Curriculum/Geometry/PerpBisectQuadri.shtml - 29kb - 19 Jun 2006

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