 | 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 - 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 - 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 - 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... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...TRIG0N0METRY. DEFINITI0NS. 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 - Spherical trigonometry - 1871 - 178 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 [(j of the planes of the great circles to each... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...Hence this intersection is MN, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 568. A Spherical Triangle is a portion of the surface of a sphere bounded by three arcs of great circles. In the present treatise these arcs will be considered as each... | |
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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
