| 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 - 396 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 - 1862 - 518 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 - 1861 - 638 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 - 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 - 340 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... | |
| Benjamin Greenleaf - 1869 - 516 pages
...TRIG0N0METRY. DEFINITI0NS. 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 - Spherical trigonometry - 1871 - 178 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 [(j of the planes of the great circles to each... | |
| Edward Olney - Geometry - 1872 - 472 pages
...Hence this intersection is MN, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 568. **A Spherical Triangle is a portion of the surface of a sphere** bounded by three arcs of great circles. In the present treatise these arcs will be considered as each... | |
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