| Edward Olney - Geometry - 1872 - 562 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 - 204 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... | |
| Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...— o M. Show that 89. Show that rr, r, r, = 104 PART II. SPHERICAL TRIGONOMETRY. INTRODUCTION. 85. **SPHERICAL TRIGONOMETRY treats of the solution of spherical...spherical triangle is a portion of the surface of a sphere** bounded by three arcs of great circles of the sphere. NOTE. — Before undertaking the study of spherical... | |
| Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1900 - 184 pages
...the rod. A. FIG. 60. PART II SPHERICAL TRIGONOMETRY CHAPTER VII RIGHT AND QUADRANTAL TRIANGLES 52. **A spherical triangle is a portion of the surface of a sphere** bounded by the arcs of three great circles which intersect. Spherical Trigonometry is concerned with... | |
| Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1902 - 186 pages
...of the rod. A FIG. 00. PART II SPHERICAL TRIGONOMETRY CHAPTER VII RIGHT AND QUADRANTAL TRIANGLES 52. **A spherical triangle is a portion of the surface of a sphere** bounded by the arcs of three great circles which intersect. Spherical Trigonometry is concerned with... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...is a right angle (247). That is, arc PAE is -L to circumference BEDC. QED SPHERICAL TRIANGLES 740. **A spherical triangle is a portion of the surface of a sphere** bounded by three arcs of great circles. The bounding arcs are the sides of the triangle. The intersections... | |
| James Gill - Nautical astronomy - 1918 - 468 pages
...P, and horizontal distance of P from tower. CHAPTER V. SOLUTION OF SPHERICAL TRIANGLES. ART. 17. — **A spherical triangle is a portion of the surface of a sphere** bounded by arcs of three great circles, and, like a plane triangle, has three sides and three angles.... | |
| Giora Hon, Bernard R. Goldstein - Science - 2008 - 336 pages
..."Triangle spherique est une partie de la surface de la sphere comprise par trois arcs de grands cercles." **(A spherical triangle is a portion of the surface of a sphere** enclosed by three arcs of great circles.) 73 Legendre [1794] 1817, 214-215: "L'egalite de ces triangles... | |
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