Definition & Betydelse | Engelska ordet HYPOTENUSE

Definition av HYPOTENUSE

1. (matematik) hypotenusa

Exempel på hur man kan använda HYPOTENUSE i en mening

• Every triangle whose base is the diameter of a circle and whose apex lies on the circle is a right triangle, with the right angle at the apex and the hypotenuse as the base; conversely, the circumcircle of any right triangle has the hypotenuse as its diameter.
• The slant range (1) is the hypotenuse of the triangle represented by the altitude of the aircraft and the distance between the radar antenna and the aircraft's ground track (point (3) on the earth directly below the aircraft).
• It is intersected by state highway routes 14 and 16; and may be found along the hypotenuse of a triangle running from Cambridge to Easton and from Easton to Salisbury, putting East New Market some 22 and 26 miles from those county seats of Talbot and Wicomico counties respectively.
• Neckerchiefs worn by sailors are shaped like a square, and are folded in half diagonally before rolling, with rolling occurring from the tip of the resulting triangle to its hypotenuse.
• As a consequence of the Pythagorean theorem, the hypotenuse is the longest side of any right triangle; that is, the hypotenuse is longer than either of the triangle's legs.
• Porro prisms can reflect light rays that are not parallel to the optical axis in such a manner that they are internally reflected off the hypotenuse of the prism.
• Any contiguous subset of halves of triangles in this tiling is allowed, so unlike most polyforms, a polydrafter may have cells joined along unequal edges: a hypotenuse and a short leg.
• The angle opposite the leg of length 1 (this angle can be labeled φ = π/2 − θ) has cotangent equal to the length of the other leg, and cosecant equal to the length of the hypotenuse.
• The rafter is the hypotenuse and the legs or catheti of the triangle are the top wall plates of the structure.
• The hyperbolic cosine of the hypotenuse is also the product of the cosines of the angles divided by the product of their sines.
• The inner hypotenuse of the right-angled triangle shows the path of an incident ray and the outer hypotenuse shows an extension of the path of the refracted ray if the incident ray met a change of medium whose face is vertical at the point where the two hypotenuses intersect.
• The largest example is the equinoctial sundial belonging to Jaipur's assembly of instruments, consisting of a gigantic triangular gnomon with the hypotenuse parallel to the Earth's axis.
• Chapter 2 (Sphuta-prakaranam (On true planets)): Computation of risings, and arcs, construction of a circle of diameter equal to the side of a given square, computation of the circumference without the use of square and roots, sum of series, sum of the series of natural numbers, of squares of numbers, of cubes of numbers, processes relating to Rsines and arcs, computation of the arc of a given Rsine, computation of the circumference of a circle, derivation of Rsines for given Rversed sine and arc, computation of Rsine and arcs, accurate computation of the 24 ordained Rsines, sectional Rsines and Rsine differences, sum of Rsine differences, summation of Rsine differences, computation of the arc of an Rsine according to Madhava, computation of Rsine and Rversed sine at desired point without the aid of the ordained Rsines, rules relating to triangles, rules relating to cyclic quadrilaterals, rules relating to the hypotenuse of a quadrilateral, computation of the diameter from the area of the cyclic quadrilateral, surface area of a sphere, computation of the desired Rsine, the ascensional difference, sun's daily motion in minutes of arc, application of ascensional difference to true planets, measure of day and night on applying ascensional difference, conversion of the arc of Rsine of the ascensional difference, etc.
• Kleinzeit's physical illness and his creative urges are linked in the novel, an identification strengthened by the fact that all the diseases suffered by patients on Kleinzeit's ward (ward A4, like the paper) are literary, geometric or musical terms: he himself has a painful hypotenuse and diapason and develops a faulty stretto, while other patients suffer from hendiadys or ‘imbricated noumena’.
• The bed occupies the rectangular area closest to the side of the car, and there remains a small right-angled triangular area of floor space which remains clear, its hypotenuse adjacent to the corridor, which zigzags the opposite way once at the start of each roomette on each side, dovetailing with the triangular area in each roomette.
• Chapter 7 : Epicycles of the Moon and the Sun, the apogee and perigee of the planets; sign calculation based on the zodiacal sign in which the planets are present; the chord connected with rising, setting, the apogee and the perigee; the method for determining the end-time of a month; the chords of the epicycles and apogee for all the planets, their hypotenuse.
• Eta Crateris lies in the sky NE of Zeta Crateris and NNW of 31 Crateris, the three stars forming an almost perfect right triangle with Eta at the right angle and 31 and Zeta the ends of the hypotenuse.
• The base is formed by the coronary sinus orifice and the vestibule of the right atrium, and the hypotenuse is formed by the tendon of Todaro, which is often a continuation off the Eustachian valve.
• The outline of Hackney's traditional boundary resembles a right-angled triangle with the right-angle in the SW and the Lower Lea Valley, running NW–SE forming the hypotenuse.

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