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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: With, Practical Applications - Σελίδα 232
των George Roberts Perkins - 1850 - 320 σελίδες
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 2

1801
...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 - 419 σελίδες
...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 - 128 σελίδες
...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 - 264 σελίδες
...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 - 367 σελίδες
...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,...arcs, named the sides of the triangle, are always sup- * posed to be each less than a semicircumference. The angles, which their planes form with each...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 316 σελίδες
...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...triangle, are always supposed to be each less than a setnicircumference. The angles, which their planes form with each other, are the angles of the triangle....

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1830 - 316 σελίδες
...this circle. It will be shown (464.) that every circle, great or small, has always two poles. 442. A spherical triangle is a portion of the surface of...named the sides of the triangle, are always supposed to-be each less than a semicircumference. The angles, which their planes form with each other, are...

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

Richard Wilson - 1831 - 330 σελίδες
...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 - 359 σελίδες
...nothing, its solidity will be i BOOK IX. OF SPHERICAL TRIANGLES AND SPHERICAL POLYGONS. * Definitions. 1. A spherical triangle is a portion of the surface of...a sphere, bounded by three arcs of great circles. These arcs are named the sides of the triangle, and are always supposed to be each less than a semi-circumference....

First Part of an Elementary Treatise on Spherical Trigonometry

Benjamin Peirce - 1836 - 71 σελίδες
...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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