| Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...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,... | |
| Elias Loomis - Logarithms - 1859 - 372 pages
...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... | |
| George Roberts Perkins - Geometry - 1860 - 470 pages
...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... | |
| 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 - 400 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 - 1861 - 628 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 - 1862 - 520 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 - 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 - 338 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... | |
| |