...and the equatorial distance between two meridians 5 feet ; required tin- lunar area. Ans. 120 feet. A spherical triangle is a portion of the surface of a sphere bounded by the arcs of three great circles. The spherical excess is the excess of the three angles above two right...

...sphere,when it meets the sphere, but, being produced, does not cut it. 6. A spherical triangle is a part of the surface of a sphere, bounded by three arcs of great circles, each of which is less than a semicircumference. These arcs are called the sides of the triangle; and...

...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 to be each less than a semicircumference;...

...20, 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 (I!. IX., ]). 1). Hence, every spherical triangle has six...

...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 SPHERICAL TRIANGLES. THEOREM I. (206.)...

...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 TRIANGLES. ТНЕППЬМ I. In any...

...finding the area : 1. S = lph; 2. S = £ be sin A ; and by making a + 4 + с = * , 3. 5 = - a) * e). Л SPHERICAL TRIANGLE is a portion of the surface of a sphere, bounded by the arcs of three great circles. The arce are sides, their points of intersection rcrticcs, and the...

...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 to be each less than a semi-circumference...

...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, and the...