 | Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...formulas for rinding the area : = i£fti = £ he sin A ; and by making a + b + e = *, S = V 3. - a) ( «). A SPHERICAL TRIANGLE is a portion of the surface of a sphere, bounded by the arcs of three great circles. The arcs are sides, their points of intersection vertices,... | |
 | Elias Loomis - Logarithms - 1859 - 372 pages
...teaches how to determine the several parts of a spherical triangle from having certain parts given. A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles, each of which is less than a semicircumference. RIGHT-ANGLED... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...volumes of these two bodies are as their surfaces. EIGHTH BOOK, SPHERICAL GEOMETRY. DEFINITIONS. I. A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. Those arcs, named the sides of the triangle, are always supposed... | |
 | Benjamin Peirce - Plane trigonometry - 1861 - 394 pages
...height, the observer being 60 feet above the intervening sea. Ans. 7042 feet. SPHERICAL TRIGONOMETRY. SPHERICAL TRIGONOMETRY. CHAPTER I. DEFINITIONS. 1....sphere included between three arcs of great circles. 2. Tlie sides of a spherical triangle are the measures of the angles formed, at the centre of the sphere,... | |
 | Benjamin Peirce - Trigonometry - 1861 - 396 pages
...height, the observer being 60 feet above the intervening sea. Ans. 7042 feet. SPHERICAL TRIGONOMETRY, SPHERICAL TRIGONOMETRY. CHAPTER I. DEFINITIONS. 1....of the surface of a sphere included between three arcs'of great circles. 2. Tlie sides of a spherical triangle are the measures of the angles formed,... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...passing two planes through those arcs ; as the angle formed on the edge EF, by the planes EAT, EDP. 505. A SPHERICAL TRIANGLE is a portion of the surface of a Sphere bounded by three arcs of great circles, each arc being less than a semi-circumference ; as AE D. These... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...TRIG0N0METRY. DEFINITIONS. 145. SPHERICAL TRIGONOMETRY treats of methods of computing spherical triangles. 146. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of a great circle, each of which is less than a semi-circumference. The three... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...TRIGON0METRY. DEFINITIONS. 145. SPHERICAL TRIGONOMETRY treats of methods of computing spherical triangles. 146. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of a great circle, each of which is less than a semi-circumference. The three... | |
 | Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...90° distant from every point in the circumference of the great circle. 6. A spherical triangle is the portion of the surface of a sphere included between three arcs of great circles, as the triangle ABC. The angles being the inclinations of the planes of the great circles to each other,... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...passing two planes through those arcs ; as the angle formed on the edge EF, by the planes EAF, EDF. 505. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of great circles, each arc being less than a semi-circumference ; as A ED. These... | |
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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
