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" A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. "
First Part of an Elementary Treatise on Spherical Trigonometry - Page 1
by Benjamin Peirce - 1836 - 71 pages
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Elements of Geometry and Trigonometry: With Practical Applications

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...
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The Elements of Plane and Spherical Trigonometry ...

Alfred Challice Johnson - Spherical trigonometry - 1871
...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...
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A Treatise on Special, Or Elementary Geometry

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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A Treatise on Special Or Elementary Geometry, Volumes 1-2

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...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

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...
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Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

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...
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Elements of Plane and Spherical Trigonometry

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...
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Plane and Spherical Trigonometry: An Elementary Text-book

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...
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Plane and Spherical Trigonometry: An Elementary Text-book

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...
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Plane and Solid Geometry

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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