...calculation of the sides and angles of spherical triangles. • . . ;2. A spherical triangle is a figure on the surface of a sphere, bounded by three arcs of great circles. 3. A spherical triangle, like a plane one, is eqttilateral, isoscelnr, or scalenous, according as the...

...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...

...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...

...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. *...

...will be shewn (6. VII.) that every circle, great or little, has always two poles. VI. A splterical 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 sup- * posed to be each less than a semicircumference....

...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 to be each less than a setnicircumference....

...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...

...other being nothing, its solidity will be i BOOK IX. OF SPHERICAL TRIANGLES AND SPHERICAL POLYGONS. * Definitions. 1. A spherical triangle is a portion...These arcs are named the sides of the triangle, and are always supposed to be each less than a semi-circumference. The angles, which their planes form...

...•' 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...