• Thumbnail for Pedal triangle
    plane geometry, a pedal triangle is obtained by projecting a point onto the sides of a triangle. More specifically, consider a triangle △ABC, and a point...
    6 KB (849 words) - 05:04, 23 December 2024
  • Thumbnail for Triangle
    the reference triangle, the vertices of the pedal triangle are the midpoints of the reference triangle's sides, and so the pedal triangle is called the...
    55 KB (6,518 words) - 09:58, 5 June 2025
  • Thumbnail for Simson line
    Simson line (redirect from Pedal line)
    circumcircle of the triangle formed by the three lines. Or in other words, the Simson line of a triangle ABC and a point P is just the pedal triangle of ABC and...
    10 KB (1,189 words) - 05:26, 19 March 2025
  • Thumbnail for Cubic plane curve
    point. Also, this cubic is the locus of X such that the pedal triangle of X is the cevian triangle of some point (which lies on the Lucas cubic). Also, this...
    20 KB (2,878 words) - 15:20, 7 May 2025
  • a pedal is used to control playback of voice dictations Pedal curve, a curve derived by construction from a given curve Pedal triangle, a triangle obtained...
    2 KB (384 words) - 22:01, 9 February 2025
  • Thumbnail for Medial triangle
    geometry, the medial triangle or midpoint triangle of a triangle △ABC is the triangle with vertices at the midpoints of the triangle's sides AB, AC, BC....
    7 KB (878 words) - 17:23, 30 December 2024
  • Thumbnail for Poncelet point
    the pedal triangle of D with respect to triangle △ABC and lies on the other analogous circles. (If they do lie on a circle, then those pedal triangles will...
    2 KB (279 words) - 20:41, 27 May 2025
  • Thumbnail for Pedal circle
    The pedal circle of the a triangle A B C {\displaystyle ABC} and a point P {\displaystyle P} in the plane is a special circle determined by those two entities...
    4 KB (494 words) - 23:53, 12 May 2024
  • Thumbnail for Modern triangle geometry
    the sides of the triangle ABC be D, E, F. The triangle DEF is called the pedal triangle of P. The antipedal triangle of P is the triangle formed by the lines...
    29 KB (3,686 words) - 05:16, 14 February 2025
  • Thumbnail for Piano pedals
    pedal (or una corda), the sostenuto pedal, and the sustaining pedal (or damper pedal). Some pianos omit the sostenuto pedal, or have a middle pedal with...
    30 KB (4,307 words) - 22:59, 13 June 2025
  • Thumbnail for Orthocenter
    Orthocenter (redirect from Orthic triangle)
    \end{aligned}}} If the triangle △ABC is oblique (does not contain a right-angle), the pedal triangle of the orthocenter of the original triangle is called the...
    19 KB (2,672 words) - 22:01, 22 April 2025
  • Thumbnail for Orthologic triangles
    triangle ABC The triangle formed by the bisectors of the external angles of triangle ABC The pedal triangle of any point P in the plane of triangle ABC...
    2 KB (250 words) - 01:05, 8 February 2025
  • Thumbnail for Bicycle
    Bicycle (redirect from Pedal cycle)
    A bicycle, also called a pedal cycle, bike, push-bike or cycle, is a human-powered or motor-assisted, pedal-driven, single-track vehicle, with two wheels...
    93 KB (10,459 words) - 03:48, 8 June 2025
  • Thumbnail for Fermat point
    Fermat point (category Triangle centers)
    The following triangles are equilateral: antipedal triangle of X(13) Antipedal triangle of X(14) Pedal triangle of X(15) Pedal triangle of X(16) Circumcevian...
    21 KB (3,133 words) - 08:55, 11 January 2025
  • McCay cubic (category Triangle geometry)
    the locus of a point P such that the pedal circle of P is tangent to the nine-point circle of the reference triangle △ABC. The McCay cubic can also be defined...
    3 KB (390 words) - 16:15, 1 June 2024
  • Thumbnail for Pedal curve
    to the pedal, then by similar triangles p r = q p . {\displaystyle {\frac {p}{r}}={\frac {q}{p}}.} It follows immediately that the if the pedal equation...
    13 KB (1,964 words) - 05:34, 29 May 2025
  • of triangle inequalities List of triangle topics Pedal triangle Pedoe's inequality Pythagorean theorem Pythagorean triangle Right triangle Triangle inequality...
    13 KB (914 words) - 10:26, 25 December 2024
  • One-seventh area triangle Orthocenter Orthocentric system Orthocentroidal circle Orthopole Pappus' area theorem Parry point Pedal triangle Perimeter bisector...
    11 KB (634 words) - 12:01, 7 February 2025
  • Thumbnail for Isodynamic point
    Isodynamic point (category Triangle centers)
    pedal triangle of an isodynamic point, the triangle formed by dropping perpendiculars from S {\displaystyle S} to each of the three sides of triangle...
    15 KB (1,958 words) - 22:36, 15 November 2024
  • Thumbnail for Isogonal conjugate
    Isogonal conjugate (category Triangle geometry)
    related to Isogonal Conjugates. Interactive Java Applet illustrating isogonal conjugate and its properties MathWorld Pedal Triangle and Isogonal Conjugacy...
    4 KB (433 words) - 22:49, 23 January 2025
  • triangle of P is similar to the pedal triangle of P. The McCay cubic is the locus of point P such that the circumcevian triangle of P and ABC are orthologic...
    3 KB (302 words) - 16:00, 9 October 2023
  • Thumbnail for Mute (music)
    mutes which produce a similar effect. Pianos have a soft pedal and occasionally a practice pedal, which both decrease the instrument's volume. According...
    37 KB (4,524 words) - 12:49, 25 May 2025
  • triangle center. The pedal and antipedal triangles of X are central triangles of Type 2.[better source needed] Yff Central Triangle[better source needed]...
    6 KB (1,003 words) - 12:26, 9 May 2024
  • Thumbnail for Orthotransversal
    Orthotransversal (category Triangle geometry)
    names: authors list (link) Mathworld Orthocorrespondent. dagezjm. "Pedal triangle". AoPS. Li4. "圓錐曲線" (PDF) (in Chinese).{{cite web}}: CS1 maint: numeric...
    7 KB (662 words) - 02:36, 30 May 2025
  • Thumbnail for Big Muff
    Muff Pi (π), often known simply as the Big Muff, is a "fuzzbox" effects pedal produced in New York City by the Electro-Harmonix company, along with their...
    16 KB (1,108 words) - 02:13, 3 May 2025
  • Thumbnail for Brocard points
    Brocard points (category Points defined for a triangle)
    ^{2}\omega }}.} The pedal triangles of the first and second Brocard points are congruent to each other and similar to the original triangle. If the lines AP...
    8 KB (1,193 words) - 05:39, 19 November 2023
  • Thumbnail for Harpsichord
    organ, a harpsichord may have more than one keyboard manual and even a pedal board. Harpsichords may also have stop levers which add or remove additional...
    37 KB (4,650 words) - 15:46, 6 June 2025
  • Thumbnail for Carnot's theorem (perpendiculars)
    Carnot's theorem (perpendiculars) (category Theorems about triangles)
    as well, that is if the equation holds for the pedal points of three perpendiculars on the three triangle sides then they intersect in a common point. Therefore...
    3 KB (521 words) - 21:09, 20 May 2024
  • Thumbnail for Electro-Harmonix
    Muff, and the Triangle Big Muff, and in early 2020 the Ram's Head Big Muff was reissued. Electro-Harmonix often produces a range of pedals based on a single...
    32 KB (3,628 words) - 09:24, 25 May 2025
  • Thumbnail for Bicycle suspension
    down while a rider pedaled. This movement was called pedal bob, kickback, or monkey motion and took power out of a rider's pedal stroke — especially...
    53 KB (7,242 words) - 17:41, 10 May 2025