101. Poncelet's Porism

Poncelet's Porism: if there exists an n-gon inscribed in a given circle and simultaneously circumscribed around another given circle, there are infinitely many such n-gons
URL: http://www.cut-the-knot.org/Curriculum/Geometry/PonceletChain.shtml - 23kb - 19 Jun 2006

102. The Squinting Eyes Theorem

The Squinting Eyes Theorem
URL: http://www.cut-the-knot.org/Curriculum/Geometry/Eyeball2.shtml - 23kb - 19 Jun 2006

103. Incidence in Feuerbach's Theorem: What Is It About?

Incidence in Feuerbach's Theorem: 9-point is tangent to the incircle and the three excircles
URL: http://www.cut-the-knot.org/Curriculum/Geometry/FeuerbachIncidence.shtml - 23kb - 19 Jun 2006

104. Four Triangles, One Circle: What Is It About?

Four Triangles, One Circle: one (9-point) circle is tangent to the incircles and the excircles of of four triangles
URL: http://www.cut-the-knot.org/Curriculum/Geometry/FeuerbachTreasure.shtml - 23kb - 19 Jun 2006

105. Building a Bridge

Building a Bridge: find an optimal position for a bridge to connect two cities on opposite banks of a river
URL: http://www.cut-the-knot.org/Curriculum/Geometry/BuildingBridge.shtml - 23kb - 19 Jun 2006

106. The Cleaver

The Cleaver
URL: http://www.cut-the-knot.org/Curriculum/Geometry/Cleaver.shtml - 23kb - 19 Jun 2006

107. Squares Inscribed In a Triangle III

Squares Inscribed In a Triangle III: squares with opposite vertices on the same side line
URL: http://www.cut-the-knot.org/Curriculum/Geometry/OrthicAxis.shtml - 23kb - 19 Jun 2006

108. Orthopole

Orthopole: point of concurrency of three perpendiculars
URL: http://www.cut-the-knot.org/Curriculum/Geometry/Orthopole.shtml - 23kb - 19 Jun 2006

109. Areas and Centroid in a Triangle

Areas and Centroid in a Triangle: a property of the centroid
URL: http://www.cut-the-knot.org/Curriculum/Geometry/ParaInTriangle.shtml - 23kb - 19 Jun 2006

110. Three Similar Triangles

Three Similar Triangles: a curious collinearity
URL: http://www.cut-the-knot.org/Curriculum/Geometry/MoreSimilarTriangles.shtml - 23kb - 19 Jun 2006

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