...and drawn at the distance of 90° from its angular point ; thus A c is the measure of the angle ABC. 9. A spherical triangle, is a portion of the surface of a sphere, contained by the arcs of three great circles; as ABC. 73 10. A right-angled spherical triangle, is that which has...

...between the two arcs which form the angle, and drawn at the distance of 90° from the angular point. 9. A spherical triangle is a portion of the surface of a sphere contained by the arcs of three great circles which intersect one another. Note. The three arcs are called the sides...

...A plane is said to be a tangent of a sphere, when it has one point only common with the sphere. 5. A spherical triangle is a portion of the surface of a sphere included within three arcs * of three great circles, which arcs are called sides of the triangle. *...

...this circle. It will be shown (404.) that every circle, great or small, has always two poles. 442. 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...

...sphere only in one point ; it is therefore a tangent plane. SECTION II. ON SPHERICAL TRIANGLES. DEF. X. A spherical triangle is a portion of the surface of a sphere contained by .three arcs of great circles ; and is formed by taking any three points, (of which two are in the plane of a great...

...nothing, its solidity will be i BOOK IX. OF SPHERICAL TRIANGLES AND SPHERICAL POLYGONS. * 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 are always...

...•' CHAPTER I. Definitions. 1. Spherical Trigonometry treats of the solution] of spherical triangles. A Spherical Triangle is a portion of the surface of a sphere included between three arcs of great circles. In the present treatise those spherical triangles only...

...TRIGONOMETRY. CHAPTER I. Definitions. 1. Spherical Trigonometry treats of the solution of spherical triangles. A Spherical Triangle is a portion of the surface of a sphere included between three arcs of great circles. In the present treatise those spherical triangles only...

...intercepted between two parallel planes ; and the intercepted solid is called a spherical segment. A spherical triangle, is a portion of the surface of a sphere, bounded by three arcs of great circles, that is, circles whose planes pass through the centre. The...

...and Q; and since each of the angles РОЛ, QOB, is a right angle, L POQ = ¿ ЛОВ = ¿ ACB. 7- The portion of the surface of a sphere contained by three arcs of great circles which cut one another two and two, is called a spherical triangle; the planes in which...