...a point in the surface equally distant from all the points in the circumference of this circle. 12. 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...

...observer being 60 feet above the intervening sea. Ans. 7043 feet. SPHEEICAL TBIGONOMETEY. SPHEEICAL TRIGONOMETRY. CHAPTER I. DEFINITIONS. 1. Spherical...180°. 2. The angle, formed by two sides of a spherical triangle, is the same as the angle formed by their planes. 3. Besides the usual method of denoting...

...DEFINITIONS. 1. X/,hericul Trigonometry treats of tlie solution of spherical triangles. Л fyherical Triangle is a portion of the surface of a sphere included...the present treatise those spherical triangles only fire treated of, in which the sides and angles are less than 180'. 2. The angle, formed by two sides...

...segment, H its altitude : the solidity of the segment is BOOK IX. SPHERICAL GEOMETRY. DEFINITIONS. 1. A SPHERICAL TRIANGLE is a portion of the surface of a sphere,. bounded by three arcs of great circles. These arcs are named the sides of the triangle, and each is...

...segment has but one base, its solidity is ±PxH+\«xH\ BOOK IX. SPHERICAL GEOMETRY. DEFINITIONS. 1. A SPHERICAL TRIANGLE is a portion of the surface of a sphere, bounded by three arcs of great circles. These arcs are named the sides of the triangle, and each is...

...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...

...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 semicircle. EIGHT-ANGLED SPHERICAL...

...D : 0 G : : sin ED : radius. If the radius of the sphere = 1, this ratio becomes sin ED : 1. (91.) A spherical triangle is a portion of the surface of a sphere contained by three arcs of great circles. (92.) Any two sides of a spherical triangle taken together...

...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...

...and that of the latter, by subtracting the logarithm of the sine from 20 SPHERICAL TRIGONOMETRY. 1. A SPHERICAL TRIANGLE is a portion of the surface of a sphere included by the arcs of three great circles (B. 1x., D. 1). Hence, every spherical triangle has six parts ;...