Meaning of "spherical triangle" in the English dictionary

PRONUNCIATION OF SPHERICAL TRIANGLE

spherical triangle

GRAMMATICAL CATEGORY OF SPHERICAL TRIANGLE

Spherical triangle is a noun.

A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES SPHERICAL TRIANGLE MEAN IN ENGLISH?

Spherical trigonometry

Spherical trigonometry is that branch of spherical geometry which deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons defined by a number of intersecting great circles on the sphere. Spherical trigonometry is of great importance for calculations in astronomy, geodesy and navigation. The origins of spherical trigonometry in Greek mathematics and the major developments in Islamic mathematics are discussed fully in History of trigonometry and Mathematics in medieval Islam. The subject came to fruition in Early Modern times with important developments by John Napier, Delambre and others, and attained an essentially complete form by the end of the nineteenth century with the publication of Todhunter's text book Spherical trigonometry for the use of colleges and Schools. This book is now readily available on the web. The only significant developments since then have been the application of vector methods for the derivation of the theorems and the use of computers to carry through lengthy calculations.

Definition of spherical triangle in the English dictionary

The definition of spherical triangle in the dictionary is a closed geometric figure formed on the surface of a sphere that is bounded by arcs of three great circles.

TRANSLATION OF SPHERICAL TRIANGLE

Find out the translation of spherical triangle to 25 languages with our English multilingual translator.

The translations of spherical triangle from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «spherical triangle» in English.

• Translator English - Chinese: 球面三角形
• Translator English - Spanish: triángulo esférico
• English: spherical triangle
• Translator English - Hindi: गोलाकार त्रिकोण
• Translator English - Arabic: مثلث كروي
• Translator English - Russian: сферический треугольник
• Translator English - Portuguese: triângulo esférico
• Translator English - Bengali: গোলাকার ত্রিভুজ
• Translator English - French: triangle sphérique
• Translator English - Malay: Segitiga sfera
• Translator English - German: sphärischen Dreiecks
• Translator English - Japanese: 球面三角形
• Translator English - Korean: 구면 삼각형
• Translator English - Javanese: Triangle singular
• Translator English - Vietnamese: tam giác hình cầu
• Translator English - Tamil: கோள முக்கோணம்
• Translator English - Marathi: गोलाकार त्रिकोण
• Translator English - Turkish: Küresel üçgen
• Translator English - Italian: triangolo sferico
• Translator English - Polish: trójkąt sferyczny
• Translator English - Ukrainian: сферичний трикутник
• Translator English - Romanian: triunghi sferic
• Translator English - Greek: σφαιρικό τρίγωνο
• Translator English - Afrikaans: boldriehoek
• Translator English - Swedish: sfärisk triangel
• Translator English - Norwegian: sfærisk trekant

10 ENGLISH BOOKS RELATING TO «SPHERICAL TRIANGLE»

Discover the use of spherical triangle in the following bibliographical selection. Books relating to spherical triangle and brief extracts from same to provide context of its use in English literature.

Handbook of Mathematics for Engineers and Scientists

There also exists an "inscribed cone of revolution" that is tangent to the three planes corresponding to the spherical triangle; the axis of this cone is the intersection of the angle bisector planes. The "circumradius" R and the "inradius" r are ...

Andrei D. Polyanin, Alexander V. Manzhirov, 2006

Geometry, plane, solid, and spherical, in six books: To ...

188 (&) In a spherical triangle, any two of the sides are together greater than the third side ; and any side is greater than the difference of the other two . 189 (c) The three sides of a spherical triangle (and, generally, all the sides of any spherical ...

Pierce Morton, 1835

Geometry and Topology

Miles Reid, Balazs Szendroi. P = (0,0,1) R'= (cos a, sin a. 0) 5'= (1,0,0) Figure 3.2 Spherical trig. Now a is the angle between the two unit vectors q and r, so cos a = q . r — cos ft cos y + sin /J sin y cos a . QED 3.3 The spherical triangle ...

Miles Reid, Balazs Szendroi, 2005

Handbook of Geomathematics

7.2 Integration over Spherical Triangles Given a spherical triangle A defined by three vertices vi,V2,V3 e S2, a natural approach (see, for example, Atkinson 1982 ; Boal and Sayas 2004) is to use a one-to-one map of the standard triangle To in  ...

Willi Freeden, Thomas Sonar, M. Zuhair Nashed, 2010

Computational Geometry and Graph Theory: International ...

International Conference, KyotoCGGT 2007, Kyoto, Japan, June 11-15, 2007. Revised Selected Papers Hiro Ito, Mikio Kano, Naoki Katoh, Yushi Uno. Seven Types of Random Spherical Triangle in Sn and Their Probabilities Yoichi Maeda  ...

Hiro Ito, Mikio Kano, Naoki Katoh, 2008

Spherical Astronomy

It is then intuitively obvious that each of the angles of the spherical triangle is less than 180°. Spherical triangles have certain properties in common with plane triangles. For example, any side is less than the sum of the other two. There are ...

Robin Michael Green, 1985

CRC Standard Mathematical Tables and Formulae, 31st Edition

The angles in a spherical triangle do not have to add up to 1 80 degrees. It is possible for a spherical triangle to have 3 right angles. 4.19.1 RIGHT SPHERICAL TRIANGLES Let a, b. and r be the sides of a right spherical triangle with opposite ...

Daniel Zwillinger, 2002

Spherical Techniques and Their Applications in a Scene Graph ...

Each point on the spherical triangle corresponding to an icosahedron face can be identified by a spherical version of barycentric coordinates. Definition 9 ( Spherical Barycentric Coordinates) Let p1 ,p 2 ,p 3 be three, non-collinear points on the ...

Christoph Fünfzig, 2007

Elements of Plane and Spherical Trigonometry: With Their ...

A right angled spherical triangle has one right angle ; the sides about the right angle are called legs; the side opposite to the right angle is called the hypo- thennse. 3. A quadrantal spherical triangle has one side equal to 90°, or is a quarter of ...

Olinthus Gregory, 1816

Geometry, plane, solid, and spherical. To which is added, in ...

188 (A) In a spherical triangle, any two of the sides are together greater than the third side ; and any side is greater than the difference of the other two . 189 (c) The three sides of a spherical triangle (and, generally, all the sides of any spherical ...

Pierce Morton, 1830

2 NEWS ITEMS WHICH INCLUDE THE TERM «SPHERICAL TRIANGLE»

Find out what the national and international press are talking about and how the term spherical triangle is used in the context of the following news items.

9 Scientific Methods To Locate Qibla Direction

It applies the laws of spherical triangle solution and "half sinus." It proves, for instance, that the Qibla direction for an observer in Alexandria, Egypt is 135.5 ... «Onislam.net, May 12»

Gravity, by George Gamow [Special Archive Article]

In particular, the sum of the angles of a plane triangle is equal to 180 degrees. In a spherical triangle the sum of the angles is greater than 180 degrees, and in a ... «Scientific American, Mar 11»