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Examples of the the word, vertex , in a Sentence Context

The word ( vertex ), is the 18615 most frequently used in English word vocabulary

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  1. Die is marked with three numbers such that when it settles, the numbers at the, vertex ,pointing up are the same and the one counted. The zocchihedron, invented by Lou
  2. The exterior angle. It measures the amount of rotation one has to make at this, vertex ,to trace out the polygon. If the corresponding interior angle is a reflex angle
  3. Tracing the segment perpendicular to its hypotenuse and passing by the opposite, vertex , and express the obvious fact that the total area is the sum of the two smaller
  4. In parallel layers. (One of these honeycombs is the cubic, shown above. ) The, vertex ,figure of each is an irregular bipyramid whose faces are isosceles triangles.
  5. 2-covers the tetrahemihexahedron, which accordingly has the same abstract, vertex ,figure (2 triangles and two squares: 3.4.3.4) and half the vertices, edges
  6. Rank 4. These families can produce uniform honeycombs with unbounded facets or, vertex ,figure, including ideal vertices at infinity: An assassination is" to murder (
  7. Cosh \track). The lengths of the curve from the vertex to A and from the, vertex ,to A′ are: a \sing \track, \,a \sing \track respectively, so the length from A
  8. K = a (\cosh \track - \cosh \track). The lengths of the curve from the, vertex ,to A and from the vertex to A′ are: a \sing \track, \,a \sing \track
  9. Two binary trees, adding a vertex , and adding an edge directed from the new, vertex ,to the root of each binary tree. This also does not establish the order of
  10. For example, Floyd–Marshall algorithm, the shortest path to a goal from a, vertex ,in a weighted graph can be found by using the shortest path to the goal from
  11. Two squares: 3.4.3.4) and half the vertices, edges,and faces. (The actual, vertex ,figure of the tetrahemihexahedron is 3.4.3/2.4,with the a/2 factor due to the
  12. No more than two singled out as the root. With the root thus chosen, each, vertex , will have a uniquely defined parent, and up to two children; however, so far
  13. Achromatism, ). Similarly, for systems used in photography,the, vertex ,of the color curve must be placed in the position of the maximum sensibility of
  14. N32) rotational symmetry. Vertex arrangement The dodecahedron shares its, vertex ,arrangement with four nonconvex uniform polyhedra and three uniform polyhedra
  15. Configuration refers to the type of regular polygons that meet at any given, vertex , For example, a vertex configuration of (4,6,8) means that a square, hexagon
  16. Other. Sometimes it is instead only required that the faces that meet at one, vertex ,are related isometrically to the faces that meet at the other. This difference
  17. Enclosing octahedron. Related polyhedra The cuboctahedron shares its edges and, vertex ,arrangement with two nonconvex uniform polyhedra: the cubohemioctahedron (
  18. Adjacent side is some fraction that is the product of 1 the distance from the, vertex , and 2 the magnitude of the opposite side. The second input variable in this
  19. At both ends. The gyro elongated triangular prismatic tiling has the same, vertex ,figure as one of the plain prismatic filings; the two may be derived from the
  20. Opposite angles. These angles are equal in measure. *Angles that share a common, vertex ,and edge but do not share any interior points are called adjacent angles. *Two
  21. Sides of a die add up to seven, implying that the 1,2 and 3 faces share a, vertex ,; these faces may be placed clockwise or counterclockwise about this vertex . If
  22. Configuration of (4,6,8) means that a square, hexagon,and octagon meet at a, vertex ,(with the order taken to be clockwise around the vertex ). Some definitions of
  23. To some reference, which is typically a vector passing through the angle's, vertex ,and perpendicular to the plane in which the rays of the angle lie. In
  24. Distances from A to A′. Translate the axes so that the origin is at the, vertex ,of the catenary, so the equation of the curve is: y = a \cosh \track and let the
  25. Thin φ AGS is proportional to the length of chain between the r and the, vertex , Derivation of equations for the curve The differential equation given above
  26. The length of circular arc swept out when one ray is rotated about the, vertex ,to coincide with the other (see" Measuring angles ", below ). Where there is
  27. Where there is no risk of confusion, the angle may be referred to simply by its, vertex ,(" angle A" ). Potentially, an angle denoted, say,BAC might refer to any of
  28. A binary tree is a connected acyclic graph such that the degree of each, vertex ,is no more than three. It can be shown that in any binary tree of two or more
  29. On the curve. In order to measure an angle θ, a circular arc centered at the, vertex ,of the angle is drawn,e.g. with a pair of compasses. The length of the arc s
  30. And octagon meet at a vertex (with the order taken to be clockwise around the, vertex ,). Some definitions of semiregular polyhedron include one more figure, the
  31. Of the cell. During the assembly process, a portal subunit is assembled at one, vertex ,of the capsid. Through this portal, viral DNA or RNA is transported into the
  32. To the type of regular polygons that meet at any given vertex . For example,a, vertex ,configuration of (4,6,8) means that a square, hexagon,and octagon meet at a
  33. Properties The number of vertices is 720° divided by the, vertex ,angle defect. The cuboctahedron and icosidodecahedron are edge-uniform and are
  34. A vertex ; these faces may be placed clockwise or counterclockwise about this, vertex , If the 1,2 and 3 faces run counterclockwise, the die is called right-handed
  35. Of a face and then rendering the pixels of that face as a blending of the, vertex ,colors. This version of pasteurization has overtaken the old method as it allows
  36. May be derived as follows. Let c be the lowest point on the chain, called the, vertex ,of the catenary, and measure the parameter s from c. Assume r is to the right
  37. Labels attached to the three points that define them. For example, the angle at, vertex ,A enclosed by the rays AB and AC (i.e. the lines from point A to point B and
  38. To the correct amount. A cube can be inscribed in a dodecahedron so that each, vertex ,of the cube is a vertex of the dodecahedron and each edge is a diagonal of one
  39. 2π ⋅ (1 - cos (A/2) ), where A is the radiation angle of the lamp—the full, vertex ,angle of the emission cone. For example, a lamp that emits 590 CD with a
  40. A\ \operator name (s/a),\ s a \sing. The y-axis thus chosen passes though the, vertex ,and is called the axis of the catenary. These results can be used to eliminate
  41. A binary tree is either: * A graph formed by taking two binary trees, adding a, vertex , and adding an edge directed from the new vertex to the root of each binary
  42. Three uniform coloring, named by the colors of the square faces around each, vertex ,: 111,112,123. The cube has three classes of symmetry, which can be
  43. Images of two enantiomers, see below, are counted separately). Here the, vertex ,configuration refers to the type of regular polygons that meet at any given
  44. An angle is the figure formed by two rays sharing a common endpoint, called the, vertex ,of the angle. The magnitude of the angle is the" amount of rotation" that
  45. The angle, in trig, terms ), a block on a pin fixed to the frame defined the, vertex ,between the hypotenuse and the adjacent side. At any distance along the
  46. A cube can be inscribed in a dodecahedron so that each vertex of the cube is a, vertex ,of the dodecahedron and each edge is a diagonal of one of the dodecahedron's
  47. It is composed of 12 regular pentagonal faces, with three meeting at each, vertex , and is represented by the Scholarly symbol. It has 20 vertices and 30 edges.
  48. The elongated and gyro elongated alternated cubic filings have the same, vertex ,figure, but are not alike. In the elongated form, each prism meets a
  49. Convex polygon about which a circle can be circumscribed, passing through each, vertex , A well-studied example is the cyclic quadrilateral. A hypocycloid is a curve
  50. Any two vertices, there must be an isometry of the entire solid that takes one, vertex ,to the other. Sometimes it is instead only required that the faces that meet at

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