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Spherical trigonometry   Listen
noun
Trigonometry  n.  (pl. trigonometries)  
1.
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.
2.
A treatise in this science.
Analytical trigonometry, that branch of trigonometry which treats of the relations and properties of the trigonometrical functions.
Plane trigonometry, and Spherical trigonometry, those branches of trigonometry in which its principles are applied to plane triangles and spherical triangles respectively.


adjective
Spheric, Spherical  adj.  
1.
Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body.
2.
Of or pertaining to a sphere.
3.
Of or pertaining to the heavenly orbs, or to the sphere or spheres in which, according to ancient astronomy and astrology, they were set. "Knaves, thieves, and treachers by spherical predominance." "Though the stars were suns, and overburned Their spheric limitations."
Spherical angle, Spherical coordinate, Spherical excess, etc. See under Angle, Coordinate, etc.
Spherical geometry, that branch of geometry which treats of spherical magnitudes; the doctrine of the sphere, especially of the circles described on its surface.
Spherical harmonic analysis. See under Harmonic, a.
Spherical lune,portion of the surface of a sphere included between two great semicircles having a common diameter.
Spherical opening, the magnitude of a solid angle. It is measured by the portion within the solid angle of the surface of any sphere whose center is the angular point.
Spherical polygon,portion of the surface of a sphere bounded by the arcs of three or more great circles.
Spherical projection, the projection of the circles of the sphere upon a plane. See Projection.
Spherical sector. See under Sector.
Spherical segment, the segment of a sphere. See under Segment.
Spherical triangle,re on the surface of a sphere, bounded by the arcs of three great circles which intersect each other.
Spherical trigonometry. See Trigonometry.





Collaborative International Dictionary of English 0.48


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"Spherical trigonometry" Quotes from Famous Books



... A Treatise on Spherical Trigonometry. For the use of Colleges and Schools. With numerous Examples. Crown ...
— The Works of William Shakespeare [Cambridge Edition] [9 vols.] - Introduction and Publisher's Advertising • William Shakespeare
... modern mathematics and mechanics had been laid. At the beginning of the period Arabic notation and the early books of Euclid were about all that were taught; at its end the western world had worked out decimals, symbolic algebra, much of plane and spherical trigonometry, mechanics, logarithms (1614) and conic sections (1637), and was soon to add the calculus (1667-87). Mercator had published the map of the world (1569) which has ever since born his name, and the Gregorian calendar had been introduced (1572). The barometer, thermometer, air-pump, ...
— THE HISTORY OF EDUCATION • ELLWOOD P. CUBBERLEY
... chords. They had an approximate knowledge of parallax. [Footnote: Delambre, Hist. d'Astr. Anc., tom. 1, p. 184.] They could calculate eclipses of the moon, and use them for the correction of their lunar tables. They understood spherical trigonometry, and determined the motions of the sun and moon, involving an accurate definition of the year, and a method of predicting eclipses. They ascertained that the earth was a sphere, and reduced the phenomena of the heavenly bodies to uniform movements ...
— The Old Roman World • John Lord
... with my children, especially with the one I was nursing; but as I did not go into society, I rose early, and, having plenty of time, I resumed my mathematical studies. By this time I had studied plane and spherical trigonometry, conic sections, and Fergusson's "Astronomy." I think it was immediately after my return to Scotland that I attempted to read Newton's "Principia." I found it extremely difficult, and certainly did not understand it till I returned to it some time after, when ...
— Personal Recollections, from Early Life to Old Age, of Mary Somerville • Mary Somerville
... had a rectilinear trigonometry and tables of chords. They had an approximate knowledge of parallax. [Footnote: Delambre, Hist. d'Astr. Anc., tom. 1, p. 184.] They could calculate eclipses of the moon, and use them for the correction of their lunar tables. They understood spherical trigonometry, and determined the motions of the sun and moon, involving an accurate definition of the year, and a method of predicting eclipses. They ascertained that the earth was a sphere, and reduced the phenomena of the heavenly bodies to uniform ...
— The Old Roman World • John Lord


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