Review of Short Phrases and Links|
This Review contains major "Triangle"- related terms, short phrases and links grouped together in the form of Encyclopedia article.
- A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments.
- A triangle is a polygon and a 2- simplex (see polytope).
- A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon.
- A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments.
- Triangle (e) is an "edge" triangle, and is adjacent to a pentagon and two triangles.
- If the base is a triangle too, then the pyramid has four faces.
- If you look at the word tetrahedron (tetrahedron means "with four planes"), you could call every pyramid with a triangle as the base a tetrahedron.
- Thus, the equilateral triangle has a three-fold rotational symmetry for this axis, or a three-fold axis of symmetry.
- The ghutra is folded on a diagonal to form a triangle and placed with the fold in front.
- The keffiyeh is usually folded in half, into a triangle, and the fold is worn across the forehead.
- Toshi Kato asks if you can fold the triangle into a tetrahedron with only three folds.
- Any surface has a triangulation: a decomposition into triangles such that each edge on a triangle is glued to at most one other edge.
- Nine-point circle demonstrates a symmetry where six points lie on the edge of the triangle.
- Let be the area of the spherical triangle formed by the th face of a tetrahedron in a sphere of radius, and let be the angle subtended by edge.
- In two dimensions, there is an infinite family of convex uniform polytopes, the regular polygons, the simplest being the equilateral triangle.
- In two dimensions, there is an infinite family of convex uniform polytopes, the regular polygon s, the simplest being the equilateral triangle.
- The simplest such curve is known as the Reuleaux triangle, named after engineer Franz Reuleaux, who taught in Berlin during the late nineteenth century.
- As was stated previously an equilateral triangle is a triangle with all its angles and all its sides equal in measure.
- In a scalene triangle, all sides are unequal.[ 4] The three angles are also all different in measure.
- Triangle b and h are the base and altitude (measured perpendicular to the base), respectively.
- Find a right triangle having the property that the hypotenuse equals the sum of one leg plus the altitude on the hypotenuse.
- A horizontal line through P intersects this minor auxiliary circle of radius b, establishing another right triangle with altitude y and hypotenuse b.
- So the slope of the tangent line (the derivative)at that point P is equal to the height of the triangle (the value of the function).
- Height is the altitude of the triangle and is perpendicular to the base.
- The tubes forming the edge of the triangle had a diametre of 0.245 metres with a wall thickness between 8 and 34 milimetres depending on the height.
- Samoa, Tonga, Marquesas, and French Polynesia are the other main island groups located within the Polynesian triangle.
- The Hawaiian islands are at the apex of the Polynesian triangle with New Zealand and Easter Island at the base corners.
- Rapa Nui, or Easter Island, is the eastern corner of the Polynesian triangle.
- The flag has typically base to length (height of triangle) 1 to 20.
- The remainder of the flag is medium blue with seven five-pointed white stars and two half stars top and bottom along the hypotenuse of the triangle.
- This flag combines the Union Jack with the pink triangle of Gay Pride.
- Niue is located 2,400 kilometres north-east of New Zealand in a triangle between Tonga, Samoa and the Cook Islands.
- If you drew a triangle from Hawaii, New Zealand and Tahiti you would find Samoa in the middle.
- Geographically, and oversimply, the Polynesian Triangle may be seen with its corners at Hawaii, New Zealand and Easter Island.
- A triangle determined by an edge and the center of a dodecahedron is half of a rhombus, with diagonal ratio equal to the square of the golden ratio.
- A rhombicuboctahedron is a polyhedron with 26 face s, consisting of 18 square s and 8 triangle s.
- That edge will be used for places on the polyhedron where a triangle meets a square.
- A deltahedron (plural deltahedra) is a polyhedron whose face s are all equilateral triangle s.
- If I have two vectors A and B, I can form a parallelogram with them or I can form a triangle.
- This is essentially a vector form of the law of cosines for the triangle formed by the vectors u, v, and u – v.
- The argument should be a vector of vectors of values which determine the upper triangle of the matrix.
- A surface normal, or just normal, is a three dimensional vector which is perpendicular to a given surface (such as a triangle).
- In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e.
- An altitude of a triangle is a straight line through a vertex and perpendicular to (i.e.
- In the following identities, A, B and C are the angles of a triangle and a, b and c are the lengths of sides of the triangle opposite the respective angles.
- The shape of the triangle is determined by the lengths of the sides alone.
- In other words, a Pythagorean triple represents the lengths of the sides of a right triangle where all three sides have integer lengths.
- Thales' theorem implies that if the circumcenter is located on one side of the triangle, then the opposite angle is a right one.
- AAS: Two angles and a corresponding (non-included) side in a triangle have the same measure and length, respectively, as those in the other triangle.
- For instance, one statement of plane geometry states that a triangle is determined by a side and two angles.
- Each edge of the cube turns into another square, and each vertex turns into a triangle, and the resulting solid is the rhombicuboctahedron.
- This triangle is the polygon of the side of an octahedron, the polyhedron dual to the cube.
- For example a triangle will have 3 sides and 3 vertices and a cube will have 4 sides and 4 vertices.
- The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side.
- For example 126.96.36.199 is a vertex with one triangle and 3 squares, and it represents the rhombicuboctahedron.
- At each vertex of the tiling there is one triangle and one heptagon, alternating between two squares.
- It's also a good base for day trips to the Golden Triangle where the borders of Myanmar (Burma) Laos and Thailand meet at the confluence of the Mekong River.
- North Chiang Rai and falls within the region known as the Golden Triangle, the area where the borders of Thailand, Myanmar and Laos converge.
- The province of Chiang Rai, lies in the heart of the fabled Golden Triangle, the area wherethe borders of Thailand, Burma (Myanmar) and Laos converge.
- In Euclidean space of dimensions 0, 1, 2, and 3, the simplexes are the point, line segment, triangle and tetrahedron, respectively.
- In 0, 1, 2 and 3 dimensional space the simplexes are the point, line segment, triangle and tetrahedron, respectively.
- A proof from Euclid's elements that, given a line segment, an equilateral triangle exists that includes the segment as one of its sides.
- Examples of line segments include the sides of a triangle or square.
- For example straight line through P and Q can be defined as a set of points A such that the triangle A P Q is degenerate, i.e.
- This is the nine-point circle, it intersects each side of the original triangle at two points: the base of altitude and midpoint.
- Often used, rightly or wrongly, is Euclidean distance, the length of the hypotenuse of a right triangle formed between the points.
- Make an equilateral triangle, the third point of which is the south celestial pole.
- The triangle is bounded by the Hawaiian islands in the north, New Zealand in the west, and Easter Island in the east.
- The market place was laid out on the higher ground to the east of the manor house in the triangle now bounded by High Street, Surrey Street and Crown Hill.
- For example, a 2-simplex is a triangle, a 3-simplex is a tetrahedron, and a 4-simplex is a pentachoron.
- If the polyhedron has equilateral triangle faces, it becomes the net of the four-dimensional regular polytope known as the pentachoron.
- An equilateral triangle can be constructed by taking the two centers of the circles and either of the points of intersection.
- After visit The Golden Triangle at the intersection between the Mekong River and Kong River,The gate of the borders in Thailand Burma and Loas.
- Let M be the centroid of a triangle with vertices A, B, and C, and let P be any interior point.
- From the difference in altitude between these points and their spacing on the map, you can draw a triangle from which the dip of the contact is determined.
- Map of Africa showing the Afar Triangle, an example of a triple junction (right).
- L p for 0 p p map does not satisfy the triangle inequality, and is therefore not a norm.
- The Orienteering Course The Start is shown on the map as a purple triangle.
- The symmetry group of the tiling is the (2,3,7) triangle group, and a fundamental domain for this action is the (2,3,7) Schwarz triangle.
- In the three cases of the triangle, if we take the large one in the figure, the symmetry group corresponds to that of Euclidean symmetry of the figure.
- The orbifold corresponding to its symmetry group is a spherical triangle having angles; so its symmetry group is.
- Each triangle in this dual tiling represent a fundamental domain of the Wythoff construction for the symmetry group [7,3].
- We can divide this by one diagonal, and take one half (a triangle) as fundamental domain.
- In the tilings above, each triangle is a fundamental domain, colored by even and odd reflections.
- Each triangle corresponds to one tenth of a dodecahedron face or, equivalently, one sixth of an icosahedron face.
- Regular Icosahedron It has 12 vertices, 30 edges and 20 faces, each one being an equilateral triangle.
- Consider one such pyramid; its base is a face of the icosahedron and therefore a B 1 equilateral triangle, and its apex the corresponding vertex of the cube.
- Triangle (v) is a "vertex" triangle, and is adjacent to three triangles.
- It is an equilateral triangular tiling with each triangle divided into three triangles from the center point.
- The simplest regular polygons are the equilateral triangle, the square, the regular pentagon (of 5 sides), and the regular hexagon (of 6 sides).
- The vector p comprises all regular polygons arranged along this horizontal vector and illustrated with a triangle (3), square (4) and a pentagon (5).
- These primitive data include basic geometric components, such as points, lines, triangles, quadrilaterals, triangle strips and polygons.
- Theorem: If a triangle has two equal angles, then it has two equal sides.
- An isosceles triangle has two equal angles.
- The triangle s with this symmetry are isosceles, the quadrilateral s with this symmetry are the kites and the isosceles trapezoid s.
- Such a triangle has the same area as the quadrilateral and can be constructed from it by cutting and pasting.
- The inner angles of a triangle add up to 180 degrees or π radians; the inner angles of a quadrilateral add up to 360 degrees or 2π radians.
- A: Trigonometry is the study of how the sides and angles of a triangle are related to each other.
- Trigonometry can be used to measure the side of the triangle that corresponds to the distance from the Sun to the star.
- The height of a triangle can be found through an application of trigonometry.
- Nasir al-Din Tusi in his Treatise on the Quadrilateral was the first to list the six distinct cases of a right angled triangle in spherical trigonometry.
- He also developed spherical trigonometry into its present form, and listed the six distinct cases of a right-angled triangle in spherical trigonometry.
- Located in the constellation of Triangulum, the Triangle, the Triangulum Galaxy is a nearby face-on spiral galaxy.
- NGC752 has formed a vast triangle in the autumnal night skies with the Andromeda Galaxy (M31) and M33 in Triangulum.
- Its name is Latin for triangle, and it should not be confused with Triangulum Australe in the southern sky.
- It is found right between Octans, the constellation that contains the south celestial pole, and Triangulum Australe, the southern triangle.
- This constellation appears directly below Triangulum Australe, the southern triangle.
- Trigonometry (from Greek trigōnon "triangle" + metron "measure")[ 1] is a branch of mathematics that studies triangles, particularly right triangles.
- In mathematics, a triangle group is a group that can be realized geometrically by sequences of reflections across the sides of a triangle.
- In mathematics, a Schwarz triangle is a spherical triangle that can be used to tile a sphere.
- In Euclidean geometry, the sum of the angles of a triangle always add up to exactly 180 degrees, no matter where it is nor how large it is.
- In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry between the three sides of a right-angled triangle.
- In mathematics, the Pythagorean theorem or Pythagoras' theorem, is a relation in Euclidean geometry between the three sides of a right angled triangle.
- Three lines can be drawn between their midpoints, and the vertex figure is therefore a triangle.
- A median of a triangle is a straight line through a vertex and the midpoint of the opposite side, and divides the triangle into two equal areas.
- The dimple D at the midpoint 24 of the side is the largest dimple along the side and the dimples A at the points 25 of the triangle are the smallest.
- A perpendicular bisector of a triangle is a straight line passing through the midpoint of a side and being perpendicular to it, i.e.
- An equilateral triangle has rotational symmetry with respect to an angle of 120°.
- In elliptic geometry there are no parallels to a given line L through an external point P, and the sum of the angles of a triangle is greater than 180°.
- This gives us a triangle with an angle sum of 270°, which would be impossible in Euclidean geometry.
- United Kingdom > England > Northumberland > Angles
- Mathematics > Geometry > Polygons > Triangles
- Science > Mathematics > Geometry > Polygon
* Bermuda Triangle
* Equilateral Triangle
* Equilateral Triangles
* Interior Angles
* Internal Angles
* Pacific Ocean
* Pink Triangle
* Pythagorean Theorem
* Right Angle
* Right Triangle
* Spherical Triangle
* Three Angles
* Three Faces
* Three Sides
* Three Vertices
* Triangle Choke
* Triangle Inequality
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