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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

## Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Conic sections - 1845 - 244 pages
...a point in the surface equally distant from all the points in the circumference of this circle. 6. 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...

## A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...a point in the surface equally distant from all the points in the circumference of this circle. 6. 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...

## Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...a point in the surface equally distant from all the points in the circumference of this circle. 6. 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...

## Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...a point in the surface equally distant from all the points in the circumference of this circle. 12. 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...

## Pantology; or, A systematic survey of human knowledge

Roswell Park - 1847 - 632 pages
...intercepted between two parallel planes ; and the intercepted solid is called a spherical segment. A spherical triangle, is a portion of the surface of a sphere, bounded by three arcs of great circles, that is, circles whose planes pass through the centre. The...

## A Treatise on Plane and Spherical Trigonometry ...

Thomas Grainger Hall - Trigonometry - 1848 - 192 pages
...circles, each at right angles to DF, and the point P of their intersection will be the pole of DF. 9. A spherical triangle is a portion of the surface of a sphere contained by three arcs of three great circles, each of which is supposed to be less than a semicircle....

## Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...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. 2. A spherical triangle takes the name of right-angled, isosceles,...

## The Mechanic's Assistant: A Thorough Practical Treatise on Mensuration and ...

D. M. Knapen - Measurement - 1849 - 300 pages
...and the equatorial distance between two meridians 5 feet ; required tin- lunar area. Ans. 120 feet. A spherical triangle is a portion of the surface of a sphere bounded by the arcs of three great circles. The spherical excess is the excess of the three angles...