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Triangle with at least two sides congruent
mathematical study of isosceles triangles dates back to ancient Egyptian mathematics and Babylonian mathematics. Isosceles triangles have been used as decoration
Isosceles_triangle
Right triangle with a feature making calculations on the triangle easier
in their sides; see Triangle group. In plane geometry, dividing a square along its diagonal results in two isosceles right triangles, each with one right
Special_right_triangle
Geometric theorem about isosceles triangles
geometry, the theorem that the angles opposite the equal sides of an isosceles triangle are themselves equal is known as the pons asinorum (/ˈpɒnz ˌæsɪˈnɔːrəm/
Pons_asinorum
Shape with three equal sides
the equilateral triangle is a regular polygon, occasionally known as the regular triangle. It is the special case of an isosceles triangle by modern definition
Equilateral_triangle
Property of geometry, also used to generalize the notion of "distance" in metric spaces
the triangle inequality for distances in plane geometry using the construction in the figure. Beginning with triangle ABC, an isosceles triangle is constructed
Triangle_inequality
Right triangle related to the golden ratio
same triangle characterize it in terms of the three Pythagorean means of two numbers, or via the inradius of isosceles triangles. This triangle is named
Kepler_triangle
Type of isosceles triangle
A golden triangle, also called a sublime triangle, is an isosceles triangle in which the duplicated side is in the golden ratio φ {\displaystyle \varphi
Golden_triangle_(mathematics)
Shape with three sides
Euclid. Equilateral triangle Isosceles triangle Scalene triangle Right triangle Acute triangle Obtuse triangle All types of triangles are commonly found
Triangle
December 5, 1995 —N/a Red isosceles triangle (based on the hoist side) dividing the flag into two right triangles; the upper triangle is green, the lower one
List of national flags of sovereign states
List_of_national_flags_of_sovereign_states
Figure that, added to a given figure, makes a larger figure of the same shape
larger one. The gnomon is itself isosceles if and only if the ratio of the sides to the base of the original isosceles triangle, and the ratio of the base to
Gnomon_(figure)
Number, approximately 1.618
triangle formed by two diagonals and a side of a regular pentagon is called a golden triangle or sublime triangle. It is an acute isosceles triangle with
Golden_ratio
Tetrahedron whose faces are all congruent
normally called a disphenoid. When the faces of a disphenoid are isosceles triangles, it is called a tetragonal disphenoid. In this case it has D 2 d
Disphenoid
Netherlands) Flag of Saint Lucia – a golden isosceles triangle overlapping a white fimbriated black isosceles triangle (sharing a base, but twice the height)
List of national flags by design
List_of_national_flags_by_design
Triangle containing a 90-degree angle
right triangle is half of a rectangle which has been divided along its diagonal. When the rectangle is a square, its right-triangular half is isosceles, with
Right_triangle
In discrete geometry, an isosceles set is a set of points with the property that every three of them form an isosceles triangle. More precisely, each three
Isosceles_set
Romantic relationship involving three people
of brotherhood and they allow a woman into their relationship, an isosceles triangle is created" automatically, as "in Truffaut's film Jules et Jim". René
Love_triangle
Certain type of mistaken proof
isosceles triangle, from (Maxwell 1959, Chapter II, § 1), purports to show that every triangle is isosceles, meaning that two sides of the triangle are
Mathematical_fallacy
Line constructed from a triangle
line only for isosceles triangles, for which the Euler line coincides with the symmetry axis of the triangle and contains all triangle centers. The tangential
Euler_line
Triangles without a right angle
an isosceles triangle approaches 180°, and with the right inequality approaching equality only as the obtuse angle approaches 90°. If the triangle is
Acute_and_obtuse_triangles
Five-pointed star polygon
.} The pentagram includes ten isosceles triangles: five acute and five obtuse isosceles triangles. In all of them, the ratio of the longer
Pentagram
Asterism
Winter Triangle is an astronomical asterism formed from three of the brightest stars in the winter sky. It is an imaginary isosceles triangle drawn on
Winter_Triangle
side (and follow the flag's diagonals). The "Y" embraces a black isosceles triangle from which the arms are separated by narrow gold bands; the red and
Flag_of_South_Africa
Small tiled plot of land in New York City
Village neighborhood of Manhattan, New York City. The plot is an isosceles triangle covered by a mosaic plaque that reads: PROPERTY OF THE HESS ESTATE
Hess_triangle
Unique positive real number which when multiplied by itself gives 2
also a right isosceles triangle. It also follows that FC = n − (m − n) = 2n − m. Hence, there is an even smaller right isosceles triangle, with hypotenuse
Square_root_of_2
Geometrical theorem relating the lengths of two segments that divide a triangle
the theorem is that the angle bisector of the vertex angle of an isosceles triangle will also bisect the opposite side. There exist many different ways
Angle_bisector_theorem
white fleurs de lis and a gold castle, respectively, and a white isosceles triangle at the hoist, within which is a gold five-pointed star. It was designed
Flag_of_Acadiana
the black isosceles triangle based on the hoist-side bearing a white five-pointed star in the center superimposed on the larger yellow triangle, also based
Flag_of_Timor-Leste
and golden-yellow with white fimbriations and a red isosceles triangle at the hoist. The triangle is charged with a five-pointed gold star in its centre
Flag_of_Mozambique
Trapezoid symmetrical about an axis
In Euclidean geometry, an isosceles trapezoid or isosceles trapezium is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides
Isosceles_trapezoid
Tent function, often used in signal processing
a triangle function, hat function, or tent function) is a function whose graph takes the shape of a triangle. Often this is an isosceles triangle of
Triangular_function
pall fesswise Argent, Azure, and Gules. The flag is formed from an isosceles triangle that extends halfway along the rectangle (a common mistake is to draw
Flag_of_the_Czech_Republic
Príncipe is a horizontal triband of green, yellow, and green, with a red isosceles triangle at the hoist and two five-pointed black stars on the yellow band.
Flag_of_São_Tomé_and_Príncipe
Catalan solid with 60 faces
icosahedron is an Archimedean dual solid, or a Catalan solid, with 60 isosceles triangle faces. Its dual is the truncated dodecahedron. It has also been called
Triakis_icosahedron
Triangle with integer side lengths
triangle is the building block for two isosceles Heronian triangles since the join can be along either leg. All pairs of isosceles Heronian triangles
Integer_triangle
Topics referred to by the same term
up isosceles in Wiktionary, the free dictionary. An isosceles triangle is a triangle with two equal sides. Isosceles may also refer to: Isosceles (band)
Isosceles_(disambiguation)
does not go through its incenter unless the triangle is isosceles. For all non-isosceles triangles, the distance d from the incenter to the Euler line satisfies
List_of_triangle_inequalities
a cerulean blue field charged with a golden triangle in front of a white-edged black isosceles triangle. Adopted in 1967 to replace the British Blue
Flag_of_Saint_Lucia
excircles of a triangle Inellipse Integer triangle Isodynamic point Isogonal conjugate Isoperimetric point Isosceles triangle Isosceles triangle theorem Isotomic
List_of_triangle_topics
by a red isosceles triangle based on the hoist-side pointed toward the fly-side and then divided into two right triangles. The upper triangle is green
Flag_of_Eritrea
Shape with ten sides
designated in the picture). Now the triangle E 10 E 1 P {\displaystyle {E_{10}E_{1}P}\;} is an isosceles triangle with vertex E 1 {\displaystyle E_{1}}
Decagon
bands sky blue and green, and a white isosceles triangle located on the side of the pole. In the middle of the triangle, a red five-pointed star appears.
Flag_of_Djibouti
Species of beetle
noble chafer the scutellum is an equilateral triangle, but on the rose chafer it is an isosceles triangle. Rose chafers are capable of fast flight; they
Cetonia_aurata
Relation between sides of a right triangle
7289, calculates the diagonal of a square or, equivalently, of an isosceles right triangle. In India, the Baudhayana Shulba Sutra, the dates of which are
Pythagorean_theorem
Marked objects for finding random numbers
starting from 6 Bipyramids, the duals of the infinite set of prisms, with triangle faces: any multiple of 4 (so that a facet faces up), starting from 8 Disphenoids
Dice
1884 novella by Edwin Abbott Abbott
when dealing with Isosceles Triangles (Soldiers and Workmen) with only two congruent sides. The smallest angle of an Isosceles Triangle gains 30 arc minutes
Flatland
Perpendicular line segment from a triangle's side to opposite vertex
the triangle. The altitudes are also related to the sides of the triangle through the trigonometric functions. In an isosceles triangle (a triangle with
Altitude_(triangle)
Property of objects which are scaled or mirrored versions of each other
isosceles triangles can have different base angles. If two angles of a triangle have measures equal to the measures of two angles of another triangle
Similarity_(geometry)
Heronian triangle Pythagorean triangle Isosceles heronian triangle Primitive Heronian triangle Right triangle 30-60-90 triangle Isosceles right triangle Kepler
List of two-dimensional geometric shapes
List_of_two-dimensional_geometric_shapes
On triangles inscribed in a circle with a diameter as an edge
OA = OB = OC, △OBA and △OBC are isosceles triangles, and by the equality of the base angles of an isosceles triangle, ∠ OBC = ∠ OCB and ∠ OBA = ∠ OAB
Thales's_theorem
Cubic plane curve
the isosceles triangles is 1 2 ( π − θ ) {\displaystyle {\tfrac {1}{2}}(\pi -\theta )} . Segment F G {\displaystyle FG} divides the apex of isosceles triangle
Tschirnhausen_cubic
tetragonal disphenoidal cells. Cells are face-transitive with 4 identical isosceles triangle faces. John Horton Conway calls it an oblate tetrahedrille or shortened
Tetragonal disphenoid honeycomb
Tetragonal_disphenoid_honeycomb
Type of triangle
with. The skinny triangle finds uses in surveying, astronomy, and shooting. The approximated solution to the skinny isosceles triangle, referring to figure
Skinny_triangle
Triangle center minimizing sum of distances to each vertex
construct an isosceles triangle, with base the side in question, 30-degree angles at the base, and the third vertex of each isosceles triangle lying outside
Fermat_point
Generalization of Pythagorean theorem
a line segment of length b cos γ. Duplicate the right triangle to form the isosceles triangle ACP. Construct the circle with center A and radius b, and
Law_of_cosines
Prism with a 3-sided base
the prism, two equilateral triangle faces on the planes of the triangular ends of the prism, and six more isosceles triangle faces. By giving rise to a
Triangular_prism
Two-dimensional packing problem
isosceles right triangle". Retrieved 2011-05-01. Xu, Y. (1996). "On the minimum distance determined by n (≤ 7) points in an isoscele right triangle"
Circle packing in an isosceles right triangle
Circle_packing_in_an_isosceles_right_triangle
Shooting technique for handguns
Weaver stance. The Isosceles Stance is a two-handed technique in which the dominant hand's fingers grip the pistol directly (the Isosceles Grip is not recommended
Isosceles_Stance
Angle formed in the interior of a circle
both radii of the circle, so they have equal lengths. Therefore, triangle △VOA is isosceles, so angle ∠BVA and angle ∠VAO are equal. Angles ∠BOA and ∠AOV
Inscribed_angle
Special triangle in geometry
largest square that it contains, and is not the equilateral triangle. It is an isosceles triangle which is obtuse with an irrational but algebraic ratio between
Calabi_triangle
Limiting case which is different from the rest of the class
special cases are degenerate. For example, right triangles, isosceles triangles and equilateral triangles are non-generic and non-degenerate. In fact, degenerate
Degeneracy_(mathematics)
Geometry puzzle
form the problem was as follows: A B C {\displaystyle ABC} is an isosceles triangle with ∠ C B A = ∠ A C B = 80 ∘ . {\displaystyle \angle {CBA}=\angle
Langley's_Adventitious_Angles
Pyramid with a square base
form of right pyramid with four isosceles triangles. When all of the pyramid's edges are equal in length, its triangles are all equilateral, an example
Square_pyramid
Self-similar fractal curve
two sides of this triangle. At the second stage, the two new lines each form the base for another right-angled isosceles triangle, and are replaced by
Lévy_C_curve
Paper model
(2007). "Octaflexagon: Isosceles Octaflexagon". Loki3.com. Retrieved October 26, 2012. Sherman, Scott (2007). "Enneaflexagon: Isosceles Enneaflexagon". Loki3
Flexagon
Polyhedron with parallel bases connected by triangles
right n-antiprisms have congruent regular n-gon bases and congruent isosceles triangle side faces, thus have the same (dihedral) symmetry group as the uniform
Antiprism
seven-pointed stars and a white bordered blue isosceles triangle based on the hoist side with a shell inside the triangle. 2015 Proposed flag for Fiji A cyan field
Flag_of_Fiji
Kepler–Poinsot polyhedron
broken into triangles, it is topologically related to the triakis icosahedron, with the same face connectivity, but much taller isosceles triangle faces. If
Great_stellated_dodecahedron
Quadrilateral symmetric across a diagonal
is tangent to its four sides at the four vertices of an isosceles trapezoid. For any isosceles trapezoid, tangent lines to the circumscribing circle at
Kite_(geometry)
Polyhedron with 12 faces
resulting in ten triangles and two pentagons. It is C2v symmetry of order 4. Hexagonal bipyramid: a bipyramid with twelve isosceles triangles, obtained by
Dodecahedron
Point in a triangle that can be seen as its middle under some criteria
components of the associated triangle center are always equal. Therefore, all triangle centers of an isosceles triangle must lie on its line of symmetry
Triangle_center
Ancient Greek philosopher (c. 626 – c. 545 BC)
a circle is bisected by its diameter, that the base angles of an isosceles triangle are equal and that vertical angles are equal. Two fundamental theorems
Thales_of_Miletus
Small device used in playing guitar
metal, glass, tagua, or stone. They are often shaped in an acute isosceles triangle with the two equal corners rounded and the third corner less rounded
Guitar_pick
Concept in geometry
Euclid's Elements), forming an isosceles triangle. More generally, the law of sines states that the sine of each angle of a triangle is proportional to the side
Subtended_angle
Circumellipse of a triangle whose center is the triangle's centroid
S} and parallel to A B {\displaystyle AB} transforms the triangle onto the isosceles triangle A ′ B ′ C ′ {\displaystyle A'B'C'} (see diagram). Point C
Steiner_ellipse
Mountain in the country of Canada
Isosceles Peak is a 2,488-metre (8,163-foot) mountain summit located in British Columbia, Canada. Isosceles Peak is set within Garibaldi Provincial Park
Isosceles_Peak
Spherical triangle that can be used to tile a sphere
symmetry, The Schwarz triangles (p q r), grouped by density: Density 1: (3 3 3) – 60-60-60 (equilateral), (4 4 2) – 45-45-90 (isosceles right), (6 3 2) –
Schwarz_triangle
Near-cylindrical polyhedron with large area
limit of the areas of polyhedra. It is formed by stacked rings of isosceles triangles, arranged within each ring in the same pattern as an antiprism. The
Schwarz_lantern
Mathematical treatise by Euclid
and its converse (46–48). Proposition 5, that the base angles of an isosceles triangle are equal, became known in the Middle Ages as the pons asinorum, or
Euclid's_Elements
English pastry
city of Coventry, England. They are in the form of a right-angled isosceles triangle, marked with three slits on the top and sprinkled with sugar. The
Coventry_Godcake
Topics referred to by the same term
vertex in a polyhedron or the point where the two equal sides of an isosceles triangle meet Apex graph, a graph that can be made planar by the removal of
Apex
Triangle whose side lengths and area are integers
Examples of Heronian triangles that are not right-angled are the isosceles triangle obtained by joining a Pythagorean triangle and its mirror image along
Heronian_triangle
Specific, usually well-known application of a mathematical rule or law
case of the rhombus. If an isosceles triangle is defined as a triangle with at least 2 identical angles, an equilateral triangle is therefore a special case
Special_case
Theorem on cyclic quadrilateral
Finally, the angles ∠CME and ∠FMA are the same. Hence, △AFM is an isosceles triangle, and thus the sides AF and FM are equal. The proof that FD = FM goes
Brahmagupta_theorem
Topics referred to by the same term
Golden triangle (composition), a rule of thumb for composition in photographs or paintings Golden triangle (mathematics), an isosceles triangle whose sides
Golden_Triangle
Polyhedron formed by joining mirroring pyramids base-to-base
its center (a regular right bipyramid) then all of its faces are isosceles triangles; sometimes the name bipyramid refers specifically to symmetric regular
Bipyramid
Relationship between two lines that meet at a right angle
also play a prominent role in triangle geometry. The Euler line of an isosceles triangle is perpendicular to the triangle's base. The Droz-Farny line theorem
Perpendicular
Regular tiling of the plane
Scalene triangle p2 symmetry Scalene triangle pmg symmetry Isosceles triangle cmm symmetry Right triangle cmm symmetry Equilateral triangle p6m symmetry
Triangular_tiling
Oval made by smoothly connecting four circular arcs
a right isosceles triangle ABC with apex C. To construct Moss's egg: Draw a semicircle on the base AB of the triangle, outside of the triangle. Connect
Moss's_egg
April 2017. a wide blue vertical band on the fly side with a yellow isosceles triangle abutting the band and the top of the flag; the remainder of the flag
Flag of Bosnia and Herzegovina
Flag_of_Bosnia_and_Herzegovina
Polyhedron with 24 faces
Catalan solids, convex: Triakis octahedron - isosceles triangles Tetrakis hexahedron - isosceles triangles Deltoidal icositetrahedron - kites Pentagonal
Icositetrahedron
13 polyhedra; duals of the Archimedean solids
tetrahedron 12 isosceles triangles 18 8 129.521° Td rhombic dodecahedron 12 rhombi 24 14 120° Oh triakis octahedron 24 isosceles triangles 36 14 147.350°
Catalan_solid
Number used to approximate the square root of 2
triangular numbers, to construct integer approximations to the right isosceles triangle, and to solve certain combinatorial enumeration problems. As with
Pell_number
Point pair associated with plane triangles
These centers can be thought as the vertices of isosceles triangles erected on the sides of triangle ABC with the base angles equal to π/6 (30 degrees)
Napoleon_points
for which this second triangle L M N {\displaystyle LMN} is isosceles are exactly the triangles that are themselves either isosceles or automedian. This
Automedian_triangle
Polygon constructed from another
conversely. For example, the dual of a highly acute isosceles triangle is an obtuse isosceles triangle. In the Dorman Luke construction, each face of a dual
Dual_polygon
Game
reduce set-up time between games. Each scoring zone comprises an isosceles triangle 6 feet × 9 feet with the short edge away from the shooter. Behind
Shuffleboard
Polynomial equation of degree 3
representing the three roots serve as the vertices of an isosceles triangle. (The triangle is isosceles because one root is on the horizontal (real) axis and
Cubic_equation
Type of metric space
is, every triple of points in the space forms an isosceles triangle, so the whole space is an isosceles set. Defining the (open) ball of radius r > 0 {\displaystyle
Ultrametric_space
Type of die
from the downward face. Another form of d4s are long dice with four isosceles triangle-shaped faces, sometimes called wedge dice. They do not roll well and
Four-sided_die
Shape subdivided into copies of itself
rep-tile researchers, the 45°-90°-45° triangle and the 30°-60°-90° triangle. Polyforms based on isosceles right triangles, with sides in the ratio 1 : 1 : √2
Rep-tile
ISOSCELES TRIANGLE
ISOSCELES TRIANGLE
ISOSCELES TRIANGLE
Boy/Male
German
From the Little Home
Girl/Female
Hindu, Indian, Malayalam
New; Expert; Wisdom
Male
Yiddish
 Variant spelling of Yiddish Lieber, LIBER means "beloved." Compare with another form of Liber.
Girl/Female
Greek
Honesty.
Boy/Male
Tamil
An erudite, Respected and calm person
Boy/Male
Hindu, Indian
God
Male
Romanian
 Short form of Roman Latin Marianus, MARIAN means "like Marius." In use by the Romanians. Compare with feminine Marian.
Boy/Male
Biblical
He that defends Baal; let Baal defend his cause.
Girl/Female
Latin English Greek
Defender of man.
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Tamil, Telugu
Endless; Eternal
ISOSCELES TRIANGLE
ISOSCELES TRIANGLE
ISOSCELES TRIANGLE
ISOSCELES TRIANGLE
ISOSCELES TRIANGLE
n.
A kind of frame formed of three poles stuck in the ground and united at the top, to which soldiers were bound when undergoing corporal punishment, -- now disused.
a.
Having three angles; triangular.
adv.
In a triangular manner; in the form of a triangle.
n.
A small constellation situated between Aries and Andromeda.
n.
That branch of mathematics which treats of the relations of the sides and angles of triangles, which the methods of deducing from certain given parts other required parts, and also of the general relations which exist between the trigonometrical functions of arcs or angles.
n.
A small constellation near the South Pole, containing three bright stars.
n.
A wedge-shaped crystal bounded by four equal isosceles triangles. It is the hemihedral form of a square pyramid.
n.
A kind of game at ball played by three persons standing at the angular points of a triangle.
n.
An instrument of percussion, usually made of a rod of steel, bent into the form of a triangle, open at one angle, and sounded by being struck with a small metallic rod.
a.
Having three sides; being three-sided; as, a trilateral triangle.
n.
Any symbol of the Trinity employed in Christian art, especially the triangle.
a.
Having three quadrants; thus, a triquadrantal triangle is one whose three sides are quadrants, and whose three angles are consequently right angles.
a.
Having three angles; having the form of a triangle.
n.
A figure having three angles; a triangle.
v. t.
To divide into triangles; specifically, to survey by means of a series of triangles properly laid down and measured.
n.
A figure bounded by three lines, and containing three angles.
n.
The series or network of triangles into which the face of a country, or any portion of it, is divided in a trigonometrical survey; the operation of measuring the elements necessary to determine the triangles into which the country to be surveyed is supposed to be divided, and thus to fix the positions and distances of the several points connected by them.
a.
Having two legs or sides that are equal; -- said of a triangle.
a.
Having equal legs or sides; isosceles.
n.
A draughtsman's square in the form of a right-angled triangle.