Revision #619 → #1454 · back to history
addedParabola as focus–directrix locuseaa54cd1a850
addedParabola as a conic section65b5a487fed9
addedGraph of a quadratic function is a parabolaf8b826f21e5e
addedReflective property of parabolase9014905c70d
addedAll parabolas are geometrically similarce9358453291
addedProjectile path follows a parabola (Galileo)2f3d55305e44
addedParabola (locus definition)29260c7ef41d
addedVertex and focal length5aca5013c6a8
addedAxis of the parabola3711550ad689
addedFocus location for vertex at origin99a3496aa32a
addedEquation of parabola with vertex at origind7ef1a930d2f
addedLatus rectum and semi-latus rectumc3fcfb223c25
addedSemi-latus rectum equals focus-to-directrix distanceca9ef5917ac9
addedEquation for general vertex positionbad046589864
addedGraph of a quadratic function is a parabola (remark)4737c030e634
addedEquation for general focus/directrix position3b5f872f8c40
addedImplicit equation of a parabola943f4952db7a
addedParabola as graph of a functioneff41a384093
addedFocus and focal length of y = ax²6c86e0e21e60
addedUnit parabola54ac58016767
addedVertex form via completing the square4e077621c0f5
addedSimilar objects in the Euclidean plane8e1ffe633c91
addedEvery parabola maps to the unit parabola by a similarity1c3b18a6aa19
addedConics similar iff equal eccentricity9b21af50a5d6
addedAll parabolas are affinely equivalent7cb422254387
addedPencil of conics by eccentricity8525867d7e91
addedPolar representation of a parabola2ffc4da2b38d
addedParabola is the inverse of a cardioid51efb81c674b
addedCone section yields the quadratic relationa76c290c6385
addedFocal length of the parabola in the cone1827446ee28b
addedPoint F is the focus of the conic-section parabola4deb6360d3d1
addedConic-section and quadratic-graph definitions are equivalent1eeb8e67351f
addedCone cut parallel to a generatrix is a parabolae94564c87f10
addedDirectrix property proven via Dandelin spheres8addd2d3b952
addedReflective property statement8b8557c296aa
addedLine BE is the tangent at Ec3297fe0e712
addedTangent bisection property82a5039d08f6
addedTangent–focus-perpendicular intersection lies on vertex tangentbe5fda5e00e5
addedReflection off the convex side75e08324382b
addedPin-and-string construction draws a parabolad4f77d167b24
addedParabola as affine part of a projective coniceb4b3e1603d0
added4-points propertyd0ef53919d42
added3-points–1-tangent property6b61afe3ef36
added2-points–2-tangents property9a21a986c93c
addedAxis-direction propertyeb71c2f7b4b1
addedChord slope is harmonic average of tangent slopes3f3b777e5ba2
addedSteiner construction of a conic938efe284b7f
addedSteiner generation of the parabola71ec5ee8d531
addedDual parabola5d4b00f749d1
addedSteiner-generated lines are tangents of a parabola665cc251775d
addedParabola is a degree-2 Bézier curve37dd442aface
addedParabola determined by three pointsd8abaeb25565
addedAngle measurement relative to the directrixca0a9bf7f44f
addedInscribed angle theorem for parabolas042f59f7f184
added3-point form of the parabola18e31c0d013b
addedEquation of the tangent at a point3191147fda8e
addedPole–polar relation of the parabolaeb2890bc975d
addedPolar of a point on the parabola is its tangentbcef66380711
addedFocus and directrix form a pole–polar pairc3fd511fb08e
addedLatus-rectum tangent propertiesa7776f6eb99d
addedOrthoptic property5a00906e675d
addedLambert's theoremd250a9bcb78c
addedTsukerman's converse to Lambert's theorem6e07c71b97a9
addedFocal length from chord parameters48ceceb2a229
addedArea between parabola and chord8365581fbca1
addedArea formula for a parabolic segment6a2d7cca8724
addedMidpoints of parallel chords are collinearf8b7efa570ae
addedArc length of a parabola1ad486276cd6
addedParabolic sector area equals one-third of triangle VBQ435a2d4e2663
addedSector area increases at constant rate under inverse-square forcee22c2e5475da
addedFocal length is half the radius of curvature at the vertexe71b5cb62707
addedSpherical mirror approximates a parabolic mirror7def3f64ccbf
addedParabola via affine transformations1422eaa88f19
addedAffine transformation of the planed4266f31fd74
addedParametric representation of the affine image70ebc07febfd
addedVertex parameter of the affine image698b6c5d1e4c
addedFocal length and focus of the affine image57b34bb6d539
addedImplicit representation of the affine imagebcfd6f2c0c27
addedParabola in space2d4a288fec07
addedQuadratic Bézier curve0a431c517b71
addedQuadratic Bézier curve is a parabolic arcf76af118c0b8
addedSimpson's rule via parabolic arcs693cf2965d25
addedQuadrics containing parabolas as plane sections01ce57b3defa
addedParabola as a trisectrix6ab961cdd7af
addedLine meets parabola in at most two points over any field8f1af5d83875
addedTangents all parallel in characteristic 2ddef153b1e91
addedRational normal curves generalize the parabola2d924c832231
addedParabola as graph of the quadratic form x²05553f816a1e
addedHigher parabolasa296c623ca48
addedProjectile trajectory in uniform gravity40bb5ba73b98
addedParabolic orbit at escape velocityaf686a220aa0
addedHanging spring of zero unstressed lengthdb2f29d1665a
addedParabolic reflectorc6262d80660f
addedRotating liquid forms a paraboloid surfaceeb2b7610f40d