| 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 - 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... | |
| 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... | |
| Edward Olney - Geometry - 1872 - 566 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... | |
| Benjamin Greenleaf - Trigonometry - 1876 - 208 pages
...TRIGONOMETRY. DEFINITIONS. 146. 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... | |
| Edward Olney - Geometry - 1883 - 344 pages
...Hence this intersection is MM, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 688. **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... | |
| |