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Triangle found by projecting a point onto the sides of another 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
Pedal_triangle
Shape with three sides
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
Triangle
Topics referred to by the same term
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
Pedal
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
Pedal_circle
Mathematical study of triangle properties (19th century–present)
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
Modern_triangle_geometry
Line constructed from a triangle
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
Simson_line
Foot-operated levers at the base of a piano
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
Piano_pedals
Online mathematics resource for cubic plane curves
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
Catalogue_of_Triangle_Cubics
Triangle with vertices at midpoints of another triangle's sides
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, and
Medial_triangle
One-seventh area triangle Orthocenter Orthocentric system Orthocentroidal circle Orthopole Pappus' area theorem Parry point Pedal triangle Perimeter bisector
List_of_triangle_topics
Intersection of triangle altitudes
\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
Orthocenter
Intersection of the 9-point circles of all triangles made from 4 points
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
Poncelet_point
Triangle center minimizing sum of distances to each vertex
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
Fermat_point
Type of symmetry between two triangles
triangle 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 (and as
Orthologic_triangles
Overview of and topical guide to geometry
of triangle inequalities List of triangle topics Pedal triangle Pedoe's inequality Pythagorean theorem Pythagorean triangle Right triangle Triangle inequality
Outline_of_geometry
Triangle derived from a given triangle and a coplanar point
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
Circumcevian_triangle
Plane curve unique to a given triangle
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
McCay_cubic
Pedal-driven two-wheel vehicle
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
Bicycle
Geometric transformation applied to points with respect to a given triangle
related to Isogonal Conjugates. Interactive Java Applet illustrating isogonal conjugate and its properties MathWorld Pedal Triangle and Isogonal Conjugacy
Isogonal_conjugate
Device attached to musical instrument to change its sound
mutes which produce a similar effect. Pianos have a soft pedal and occasionally a practice pedal, which both decrease the instrument's volume. According
Mute_(music)
Triangle related to a given triangle by two functions
triangle center. The pedal and antipedal triangles of X are central triangles of Type 2.[better source needed] Yff Central Triangle[better source needed]
Central_triangle
Intersection of the three symmedian lines of a triangle
excentral triangle. The centroid of the pedal triangle of the symmedian point is the symmedian point. The centroid of the antipedal triangle of the symmedian
Lemoine_point
2 points about which a triangle can be inverted into an equilateral triangle
pedal triangle of an isodynamic point, the triangle formed by dropping perpendiculars from S {\displaystyle S} to each of the three sides of triangle
Isodynamic_point
Circles tangent to all three sides of a triangle
incircle is a triangle center called the triangle's incenter. An excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent
Incircle_and_excircles
One of triangle line
names: authors list (link) Mathworld Orthocorrespondent. dagezjm. "Pedal triangle". AoPS. Li4. "圓錐曲線" (PDF) (in Chinese).{{cite web}}: CS1 maint: numeric
Orthotransversal
Curve generated by the projections of a fixed point on the tangents of another 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
Pedal_curve
Special points within 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
Brocard_points
Guitar effect pedal company
produce effects pedals for electric guitar and bass. Located in New York City, Electro-Harmonix became an early pioneer in effects pedal design and developed
Electro-Harmonix
Activity of riding a bicycle
bicycling or biking, is the activity of riding a bicycle or other types of pedal-driven human-powered vehicles such as balance bikes, unicycles, tricycles
Cycling
Plucked-string keyboard instrument
Hill introduced his design for a pedal harpsichord, most pedal harpsichords were built based on the designs of extant pedal pianos from the 19th century,
Harpsichord
Conic plane curve associated with a given triangle
several different ways in which a conic could be associated with a triangle. Note: The pedal circle of any point on a rectangular circumhyperbola passes through
Triangle_conic
Effect for electric guitar
Big Muff Pi (π), often known simply as the Big Muff, is a fuzz effects pedal made by New York City-based Electro-Harmonix. Marketed as a "distortion/sustainer"
Big_Muff
geometry. It states that all the pedal circles for a points located on a line through the center of the triangle's circumcircle share a common (fixed)
Griffiths'_theorem
Bicycle part
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
Bicycle_suspension
details about specific playing techniques (e.g., which fingers, keys, or pedals are to be used, whether a string instrument should be bowed or plucked,
List_of_musical_symbols
2016 studio album by Wynonna Judd
guitars Tommy Hannum – pedal steel guitar Dow Tomlin – bass Cactus Moser – drums, percussion, backing vocals Tami Olin – triangle Keith Sewell – fiddle
Wynonna_&_the_Big_Noise
Australian musician (born 1986)
Volume Pedal Boss FS-5U Footswitch Dunlop Cry Baby Wah Pedal Dunlop MXR Carbon Copy Analog Delay Pedal Dunlop MXR Dyna Comp Compression Pedal DOD FX25
Kevin_Parker
2026 film by Son Jae-gon
stars Gang Dong-won, Um Tae-goo, Park Ji-hyun, and Oh Jung-se. It follows "Triangle", a once-popular co-ed dance trio that reunites after 20 years and embarks
Wild_Sing
Condition for 3 lines with common point to be perpendicular to the sides of triangle
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
Carnot's theorem (perpendiculars)
Carnot's_theorem_(perpendiculars)
1993 compilation album by Quiet Riot
put on the reissue as a bonus track. Kevin DuBrow - lead vocals, triangle, wah pedal overdub on "Trouble" Randy Rhoads - guitars Kelly Garni - bass Drew
The_Randy_Rhoads_Years
Musician who plays various instruments
with a beater which is connected to a foot pedal, cymbals strapped between the knees or triggered by a pedal mechanism, tambourines and maracas tied to
One-man_band
1988 synthesizer
Input/output Keyboard 61 keys Left-hand control Left wheel - pitch bend Right wheel - modulation. External control MIDI In, out, thru, sustain pedal input
Kawai_K1
main triangle of a bicycle frame. They are used to add luggage capacity to your bike in a low-profile way without impeding on the ability to pedal and
Frame_bag
Polyphonic analogue synthesizer
key, resulting in rich, powerful timbres. Also available: Sustain/foot pedal inputs, pitch bend wheel and modulation wheel with adjustable "depth." The
Akai_AX60
Development of bicycle technology
and von Drais is seen as the "father of the bicycle", but it did not have pedals. Von Drais introduced it to the public in Mannheim in 1817 and in Paris
History_of_the_bicycle
Athletic competition
calories were rowed on a Concept-2 rowing machine. The 16 calories were pedaled on an Assault AirBike. The dumbbell squat snatches are performed with a
2015_CrossFit_Games
Braking device for bicycles
a mechanism for the rider to apply the brakes, such as brake levers or pedals; a mechanism for transmitting that signal, such as Bowden cables, hydraulic
Bicycle_brake
American alternative rock band
throughout the United States. In June 2011, the band released the EP Triangles on its own label, Ruby Wristwatch Records. The band celebrated its 30th
10,000_Maniacs
Standard for MIDI-based music synthesizers
(E2) 41 Low Floor Tom (F2) 42 Closed Hi-hat(F#2) 43 High Floor Tom(G2) 44 Pedal Hi-hat (Ab2) 45 Low Tom (A2) 46 Open Hi-hat (Bb2) 47 Low-Mid Tom (B2) 48
General_MIDI
Cubic plane curve
by such means. The pedal curve of a parabola with respect to its vertex is a cissoid of Diocles. The geometrical properties of pedal curves in general
Cissoid_of_Diocles
1878 musical work by Pablo de Sarasate
movement, the following sentence can be heard: "Baja el pedal de la sordina." ("Lower the damper pedal.") It has been recorded by a large number of violinists
Zigeunerweisen
English rock band
Screening Purposes Only, in 2005. Two of its singles, "Circle. Square. Triangle" and "What's Your Damage", reached the top 40 of the UK singles chart.
Test_Icicles
Longest muscle in the human body
lateral border of the femoral triangle, and the point where it crosses adductor longus marks the apex of the triangle. Deep to sartorius and its fascia
Sartorius_muscle
— 2 sided Triangle Acute triangle Equilateral triangle Isosceles triangle Obtuse triangle Rational triangle Right triangle 30-60-90 triangle Isosceles
List_of_mathematical_shapes
78310G CPU Input/output Keyboard 61 keys Left-hand control Mod - Wheel, Pitch -Wheel External control MIDI [Pedal - Sustain, Velocity, Pedal - Volume
Kawai_K4
2024 EP by Bon Iver
three tracks together as one body of work: "They feel like an equidistant triangle, a triptych. It's three, and it couldn't be longer. It runs the gamut from
Sable_(EP)
1994 studio album by Yngwie Malmsteen
furious upon seeing the triangular shape on the nose, saying, "They drew a triangle on my face." He also faced considerable difficulty selecting a vocalist
The_Seventh_Sign_(album)
1985 digital FM synthesizer
DX21 has 1/4" jacks for plugging in a sustain pedal, a portamento pedal, and a volume expression pedal and an input for a BC-1 breath controller. The
Yamaha_DX21
Musical instrument consisting of a collection of percussion instruments
Hi-hat cymbals, a pair of cymbals that can be played with a foot-operated pedal as well as the hands Drum sets may be smaller consisting of only snare drum
Drum_kit
1990 synthesizer
Left-hand control Bender / Modulation Lever, Master Volume Slider, C1 Slider External control MIDI Expression Pedal Jack, Pedal Switch Jack, Hold Pedal Jack
Roland_D-70
curve Involute Isoptic including Orthoptic Negative pedal curve Fish curve Orthotomic Parallel curve Pedal curve Radial curve Roulette Strophoid Bathtub curve
List_of_curves
2018 studio album by The Sheepdogs
Guitar, Mandolin, Pedal Steel Guitar, Viola, Violin, backing vocals Additional musicians Adam Hindle – Congas, Drums, Percussion, Triangle, Whistle "AllMusic
Changing_Colours
Welsh mathematician (1837–1916)
Carmarthenshire. Griffiths' theorem describing a property of pedal circles in a triangle is named after him. "Mr. John Griffiths". The Times. 19 May 1916
John Griffiths (mathematician)
John_Griffiths_(mathematician)
Bicycle that has a drivetrain with no freewheel mechanism
bicycle that has a drivetrain with no freewheel mechanism, meaning the pedals always spin together with the rear wheel. The freewheel was developed early
Fixed-gear_bicycle
Analogue effects pedals
trademark for a series of analog effects pedals manufactured by Moog Music. There are currently eight different pedals produced; however, one of these models
Moogerfooger
Cubic plane curve
negative pedal curve of the parabola with respect to its focus. For any curve C {\displaystyle C} and fixed point P {\displaystyle P} , the negative pedal curve
Tschirnhausen_cubic
2009 video game
foot pedal cover system, but providing the player with a machine gun as the default weapon and a handheld ballistic shield. Pressing down on the pedal allows
Razing_Storm
1981 studio album by Delta 5
arrangements Melv Jefferson - backing vocals, syndrums B.J. Cole - pedal steel guitar on "Triangle" John Sidwell, Steve Bishop, Steve Sidwell - horns Technical
See_the_Whirl
Brass instrument
production of the fundamental as a pedal tone pitch. Instead, trombonists use the higher harmonics of the instrument to produce pedal tones, giving them a bright
Trombone
2026 studio album by Varials
the Dark" on September 19, 2025. The song features the use of a wah-wah pedal which, according to Lyons, "is underutilized in our genre". All tracks are
Where_the_Light_Leaves
1984 studio album by Dan Fogelberg
string arrangements (2, 4, 6), electric piano (3, 5, 8) Gary Burden – pedal steel guitar (4) Dave Falkenberry – lap steel guitar (4), dobro (4) Kenny
Windows_and_Walls
Synthesizer
Memory 2), a substractive synthesis based on either basic sine, square, triangle or saw oscillators (digital modelling of earlier analog synthesizers),
Yamaha_SY99
1969 studio album by Earth Opera
Horowitz – organ, piano, keyboards Bill Keith – pedal steel, steel guitar Bob Zachary – percussion, triangle "The Great American Eagle Tragedy - Earth Opera
The Great American Eagle Tragedy
The_Great_American_Eagle_Tragedy
piano Steirische Harmonika Terpodion Virginals AlphaSphere Audiocubes Bass pedals Continuum Fingerboard Croix Sonore Denis d'or Dubreq stylophone Drum machine
List_of_musical_instruments
Main component of a bicycle
based on the safety bicycle, and consists of two triangles: a main triangle and a paired rear triangle. This is known as the diamond frame. Frames are
Bicycle_frame
1968 song by Pink Floyd
the 25 and 26 January 1968 at EMI Studios. David Gilmour uses a wah-wah pedal on his electric guitar and possibly contributes backing vocals. It has been
See-Saw_(song)
2023 studio album by Chris Stapleton
Jung-Min Shin – violin (6) Mary Van Osdale – violin (6) Paul Franklin – pedal steel (9, 11–13) Technical Chris Stapleton – production Morgane Stapleton
Higher (Chris Stapleton album)
Higher_(Chris_Stapleton_album)
Knee-length walking shorts
Ordnance Island Volunteer/Territorial Army Units 1895–1965 Geography Bermuda Triangle Bermuda Institute of Ocean Sciences (BIOS) Islands National Trust Sargasso
Bermuda_shorts
American singer-songwriter (born 1997)
VoiceJam before switching to Logic Pro by 2018. In live shows, she uses a loop pedal to perform solo. Gish is frequently compared to Regina Spektor, whom she
Sidney_Gish
2007 studio album by Randy Travis
guitar, electric guitar, harmonica Dan Dugmore - dobro, acoustic guitar, pedal steel guitar Larry Franklin - fiddle, mandolin Steve Gibson - acoustic guitar
Songs_of_the_Season
Object used to strike or beat a percussion instrument
may be manually operated, as in the striker for a triangle, or mechanically, such a bass drum pedal. The term drum stick is applied to a wide range of
Percussion_mallet
1985 composition by John Adams
suspended cymbal sizzle cymbal, suspended claves bell tree triangle tambourine castanets snare drum pedal bass drum timpani Keyboards piano Strings harp string
The_Chairman_Dances
1965 studio album by the Beatles
Its unusual guitar sound was achieved using a volume/tone pedal – the first time a guitar pedal was used on a Beatles song. A year after Harrison's death
Help!
Species of gastropod
FMRFamidergic, where the cerebral ganglia develop first followed by the pedal-, and the posterior ganglia. As in other nudibranchs described, the central
Berghia_stephanieae
Family of closed mathematical curves
total perimeter of a superellipse. The pedal curve is relatively straightforward to compute. Specifically, the pedal of | x a | n + | y b | n = 1 , {\displaystyle
Superellipse
1976 studio album by 10cc
tracks), piano (4, 6, 7), bass guitar (2, 6), electric piano (4, 6, 7), pedal steel (7), Levi zipper (5) Lol Creme – lead (3, 6, 8) and backing vocals
How_Dare_You!_(album)
American musician (born 1958)
the guitar's 'B' string one whole step to play in a style similar to a pedal steel guitar. Stuart bought this unique guitar in 1980 from White's widow
Marty_Stuart
1994 studio album by Silver Jews
Additional personnel Doug Easley – pedal steel guitar; whistle on "Living Waters" David McCain — pink noise Andra Sherman — triangle Dan Mackta — Wurlitzer electric
Starlite_Walker
Interior channel of a wind instrument
multiples of a "fictitious fundamental" which can often still be played as a pedal tone. Players of brasses (in contrast to woodwinds) are able to "lip" notes
Bore_(wind_instruments)
1986 orchestral work by John Adams
high/medium/low woodblocks, pedal bass drum, snare drum, large bass drum, suspended cymbal, sizzle cymbal, large tam tam, tambourine, triangle, glockenspiel, xylophone
Short_Ride_in_a_Fast_Machine
2020 single by Taylor Swift
country, folk rock, and guitar pop. Its production consists of a harmonica, a pedal steel, guitars, and a key change after the bridge. The lyrics are about
Betty_(Taylor_Swift_song)
British mathematician
envelope of the pedal line of a triangle". 1871: volume 11, page 38: "Mathematical Notes", concerning dynamics, aberration, glissettes, and pedal lines. Besant
W._H._Besant
2020 studio album by Taylor Swift
collection of three songs I refer to as the Teenage Love Triangle. These three songs explore a love triangle from all three people's perspectives at different
Folklore_(Taylor_Swift_album)
American filmmakers
2011–2012 Happy Endings Yes Yes Episodes Both: "Pilot" Anthony only: "Barefoot Pedaler", "Blax, Snake, Home", "Secrets and Limos" Joe only: "Bo Fight", "Yesandwitch"
Russo_brothers
tramway level crossings, bus and pedal cycle facilities and road works. STOP or GIVE WAY ahead Plate use with "STOP" triangle to give the distance to STOP
Road signs in the United Kingdom
Road_signs_in_the_United_Kingdom
1977 studio album by Rush
and guitarist Alex Lifeson plays new guitar models and a Moog Taurus bass pedal synthesizer, which Lee also used. Once recording finished, the album was
A_Farewell_to_Kings
Capital city of Canada
Retrieved 25 July 2022. "HistoricPlaces.ca - Capital BIXI Takes Ottawa: Pedal into the Past!". www.historicplaces.ca. Archived from the original on 25
Ottawa
Unpitched percussion instrument
instructed to roll ad lib on the suspended cymbal while moving the timpani pedal up and down as a glissando. Film composer Danny Elfman has made great use
Suspended_cymbal
Patchable semi-modular monophonic analog synthesizer
Controller, MS-02 Interface, MS-03 Signal Processor, and MS-04 Modulation Pedal. Although the MS-20 follows a conventional subtractive synthesis architecture
Korg_MS-20
South Park character
Garrison and Chef, to which Chef remarks, "How the hell did he reach the gas pedal?". Other episodes also portray Mr. Hat as somewhat autonomous. In one episode
Mr._Garrison
travel, tourism, insurance
PEDAL TRIANGLE
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