| 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... | |
| 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... | |
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