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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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An Elementary Treatise on Plane and Spherical Trigonometry: With Their ...

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,...
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

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,...
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Elements of Geometry and Trigonometry: With Practical Applications

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

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...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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An Introduction to Plane and Spherical Trigonometry

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,...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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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 - 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...
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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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