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" A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. "
ELEMENTS OF GEOMETRY AND TRIGONOMETRY - الصفحة 227
بواسطة A. M. LEGENDRE - 1852
عرض كامل - لمحة عن هذا الكتاب

Mathematics: Compiled from the Best Authors and Intended to be the ..., المجلد 2

1801 - عدد الصفحات: 426
...calculation of the sides and angles of spherical triangles. • . . ;2. A spherical triangle is a figure on the surface of a sphere, bounded by three arcs of great circles. 3. A spherical triangle, like a plane one, is eqttilateral, isoscelnr, or scalenous, according as the...

A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1806 - عدد الصفحات: 419
...drawn at the distance of 90° from its angular point ; thus A c is the measure of the angle ABC. 9. A spherical triangle, is a portion of the surface of a sphere, contained by the arcs of three great circles; as ABC. 73 10. A right-angled spherical triangle, is...

A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - 1811 - عدد الصفحات: 128
...between the two arcs which form the angle, and drawn at the distance of 90° from the angular point. 9. A spherical triangle is a portion of the surface of a sphere contained by the arcs of three great circles which intersect one another. Note. The three arcs are...

A Treatise on Plane and Spherical Trigonometry

Robert Woodhouse - 1819 - عدد الصفحات: 264
...A plane is said to be a tangent of a sphere, when it has one point only common with the sphere. 5. A spherical triangle is a portion of the surface of a sphere included within three arcs * of three great circles, which arcs are called sides of the triangle. *...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - عدد الصفحات: 367
...will be shewn (6. VII.) that every circle, great or little, has always two poles. VI. A splterical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. Those arcs, named the sides of the triangle, are always sup- * posed to be each less than a semicircumference....

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - عدد الصفحات: 316
...this circle. It will be shown (404.) that every circle, great or small, has always two poles. 442. A spherical triangle is a portion of the surface of...a sphere, bounded by three arcs of great circles. Those arcs, named the sides of the triangle, are always supposed to be each less than a setnicircumference....

A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - 1831 - عدد الصفحات: 330
...sphere only in one point ; it is therefore a tangent plane. SECTION II. ON SPHERICAL TRIANGLES. DEF. X. A spherical triangle is a portion of the surface of a sphere contained by .three arcs of great circles ; and is formed by taking any three points, (of which two...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - عدد الصفحات: 359
...other being nothing, its solidity will be i BOOK IX. OF SPHERICAL TRIANGLES AND SPHERICAL POLYGONS. * Definitions. 1. A spherical triangle is a portion...These arcs are named the sides of the triangle, and are always supposed to be each less than a semi-circumference. The angles, which their planes form...

First Part of an Elementary Treatise on Spherical Trigonometry

Benjamin Peirce - 1836 - عدد الصفحات: 71
...•' CHAPTER I. Definitions. 1. Spherical Trigonometry treats of the solution] of spherical triangles. A Spherical Triangle is a portion of the surface of a sphere included between three arcs of great circles. In the present treatise those spherical triangles only...

First Part of an Elementary Treatise on Spherical Trigonometry

Benjamin Peirce - 1836 - عدد الصفحات: 71
...TRIGONOMETRY. CHAPTER I. Definitions. 1. Spherical Trigonometry treats of the solution of spherical triangles. A Spherical Triangle is a portion of the surface of a sphere included between three arcs of great circles. In the present treatise those spherical triangles only...




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