 | 1801 - 658 sider
...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... | |
 | Adrien Marie Legendre - 1819 - 574 sider
...circumference of the circle. It will be shown art. 464, that every circle great or small has two poles. 442. A spherical triangle is a part of the surface of a sphere comprehended by three arcs of great circles. These arcs, which are called the sides of the triangle,... | |
 | Adrien Marie Legendre - 1822 - 394 sider
...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.... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 sider
...circumference of the circle. It will be shown art. 464, that every circle great or small has two poles. 442. A spherical triangle is a part of the surface of a sphere comprehended by three arcs of great circles. These arcs, which are called the sides of the triangle,... | |
 | Adrien Marie Legendre - 1825 - 276 sider
...circumference of the circle. It will be shown art. 464, that every circle great or small has two poles. 442. A spherical triangle is a part of the surface of a sphere comprehended by three arcs of great circles. These arcs, which are called the sides of the triangle,... | |
 | Adrien Marie Legendre - 1836 - 394 sider
...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.... | |
 | Benjamin Peirce - 1837 - 216 sider
...otherwise, there would be points in these surfaces unequally distant from the centre. 430. Definitions. A spherical triangle is a part of the surface of a sphere comprehended by three arcs of great circles. These arcs, which are called the sides of the triangle,... | |
 | Roswell Park - 1841 - 722 sider
...planes ; and the intercepted solid is tailed 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 convex surface of a cylinder, is equal to... | |
 | Adrien Marie Legendre - 1841 - 288 sider
...circumference of the circle. It will be shown, art. 464, that every circle, great or small, has two poles. 442. A spherical triangle is a part of the surface of a sphere comprehended by three arcs of great circles. These arcs, which are called the sides of the triangle,... | |
 | Charles Waterhouse - 1842 - 178 sider
...obtuse-angled triangle has one obtuse angle. 24. An acute-angled triangle has its three angles acute. 25. A spherical triangle is a part of the surface of a sphere comprehended by three arcs of great circles. NOTE, — A spherical triangle takes the name of right-angled,... | |
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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
