- geometryradical axis-1the golden ratio (and aphrodite's phi)rose curvesangles between parallels...measuring angles...the lune of Hippocratespythagorean theorem (a puzzle)the lunes of Alhazentriangle angle-sum theorempythagorean spiralgeometric constructions - 13power of a pointFibonacci spiralsquare vs rhombusgeometric constructions - 12geometric constructions - 11geometric constructions - 2archimedes' arbelosa prism inside a prism...reflections...area of a trapezoidptolemy's theoremspythagorean and galileo's lawarea of a trianglearea of a parallelogramarea of a rectangleapproximating piconstructing a hyperbola...constructing an ellipse...constructing a parabolaa pyramid inside a cube...a math trick-2angles in a circle...tux walks up and down...a trianglequadrilateralssquare roots in a greek way...Thales' theoremregular octagonangle bisectorinscribed quadrilateralstangent at a pointtangent lines to a circledouble reflectiontriangles...a decagonthe intersept (thales) theoremmidpoint parallelogramclassifying triangles...the reflective property of parabolathe reflective property of ellipsethe reflective property of hyperbolapoint symmetrythe angle bisector theoremsthe triangle inequalitytriangle midpoint theoremreflections-2areas inside a parallelogramareas inside a trapezoidarchimedes' spiralreflections-3involute of a circlecardioidreflections-4pythagorean theorem (proof)tangent-chord anglearea of a kitemedian to the hypotenuseareas of similar trianglesequilateral triangle (SAS)find the slopea proof of pythagorean theorem-4measurements in a circlethe relative position of two circlesa cube...regular tetrahedronhexagonal prismsquare pyramidthe outer Napoleon trianglea pyramid inside a cube-1reflections of a trianglethe golden ratiocentral and inscribed anglessierpinski trianglesfind the arearegular polygonsan identity...an identity-2triangle-1area of a rectangle-1simson linenine-point circleangle bisector as locusincircle and excircles of a triangleregular polygons-1an archimedes' formulaarea of a circlearea of a circle-1radiansproperties of a rhombusproperties of a rectangleproperties of a trapezoidproperties of a squareaxis of symmetrypoint of symmetryequal chordsproperties of an isosceles trapezoidan isosceles triangle...properties of a kitecuboida tank with a tapfind the anglesfind the anglean equilateral trianglesum of the interior angles of a n-gona Reuleaux trianglecongruent trianglesarea of an equilateral trianglethe witch of agnesithe cissoid of dioclesdeltoidastroidnephroidranunculoidconchoid of nicomedeslimacon of pascalcycloidstrammel of archimedesgeneralization (pappus) of pythagoreanconchoid of a circlepiriformratio of areas-1ratio of areas-2division of a segmentan apollonian circleparabolasellipseshyperbolasa definition of conics (directrix)ellipse as a hypotrochoidellipses and hyperbolaseight curve (construction)radical axis-2archimedes' twin circlesarchimedes' "salinon"the flower of lifethe seed of lifeyin-yangdiagonals of n-gonsJohnson's theoremKoch snowflakeconstruction of a triangle (sss)miquel's triangle theoremproof of pythagorean-5Kaleidoscopethe three squares problemhippias' quadratrixangle trisectionfirst brocard pointnagel pointgergonne pointcollinear points-2morley's trianglerolling circle squares itselfgeometric-arithmetic mean inequalitylaw of cosines (pww)vivianni's theoremx+1/xthm about right triangleschords and tangentsregular star polygonssquaring a rectanglepitot theoremangle between secantsparallel tangents of an ellipsea property of the hyperbolatangents to a circleregular pentagona clocka clock(2)five squaresgolden ratio-3golden trianglegolden rectanglethe famous "1/7" trianglethe famous "1/5" squareequal chords-1supplementary anglesaristotle's wheel paradoxparallel chords theoremfrom kite to rhombus and squarechord theoremsecant-secant theoremtangent-secant theoremfractions in a greek way...areas-3area of a triangle (sas)area of a quadrilateralarea of a triangle-2Brahmagupta's formulaa square in a squarelemoine pointexeter pointpyth-proofpyth-proof7circle and ellipsebifoliumkappacurveright strophoidparallel tangents of an ellipse-1foliumtorpedo curveconstructing a trifoliumtrifolium-1bicorntrisectrix of maclaurindeltoidastroidversorialimacon of pascal-1cardioid-1cissoid of diokleslemniscate of bernoullieightcurveconchoid of nicomedes-1ellipse-1circle-1hyperbola-1parabola-1quadrilaterals-2rolling coin paradoxvecten pointsfeuerbach's pointarc length (verification)right triangle paradoxsquare-rectangle paradoxisosceles triangle paradoxsphere in cylindercone in cylindertangent-chord angle-1inscribed angles-1tangent to a circlepentalphastar of davidproperties of the altitudescommon external tangentscommon internal tangentscommon external tangents-1common internal tangents-1geometric mean theoremfrustum of a right conefrustum of a regular pyramidcylinder in coneconvex quadrilateralsapproximating pi-1a clock-3find the area-1triangular numbers-1pythagorean triples-euclidpythagorean triples-platopythagorean triples-proclusproof of pythagorean-9euclid's proof of pythagoreancircles of a regular n-gonArea of Circles (3)Solving Similar Triangles (1)angles between parallels-1Water Trianglemake an angleSeven Circles Theoremcircumference of circles-1cube of a binomialcylinder in a coneferris wheelthe reuleaux triangle-1points and segmentsbinomial formuladifference of two squaresconway circleparallels or not?lines through a pointregular polygons-3string artthe height of the pyramid
