 If from the vertices of a spherical triangle as poles arcs of great circles are described, another spherical triangle is formed which is called the polar triangle of the first.  The Elements of Geometry - Page 326by Webster Wells - 1886 - 371 pagesFull view - About this book
 | William Chauvenet - Geometry - 1871 - 380 pages
...sphere is nearly if not quite as simple as the comparison of plane figures. 67. Definition. If from the vertices of a spherical triangle as poles, arcs of great circles are described, these arcs form by their intersection a second triangle which is called the polar triangle of the first.... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...poles, arcs of great circles are described, these arcs form by their intersection a second triangle which is called the polar triangle of the first. Thus, if A, B and C are the poles of the arcs of great circles, B'C', A'C', and A'B', respectively, A'B' C' is the polar triangle of ABC. Since all... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...sphere is nearly if not quite as simple as the comparison of plane figures. 67. Definition. If from the vertices of a spherical triangle as poles, arcs of great circles are described, these arcs form by their intersection a second triangle which is called the polar triangle of the first.... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...on the surface of a sphere is the arc of a great circle joining the points. 181 Definition. If from the vertices of a spherical triangle as poles arcs of great circles are described, these arcs intersecting form a triangle which is called the polar triangle of the first triangle. Thus... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...on the surface of a sphere is the arc of a great circle joining the points. 18i Definition. If from the vertices of a spherical triangle as poles arcs of great circles are described, these arcs intersecting form a triangle which is called the polar triangle of the first triangle. Thus... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...equal A'B', and the two triangles will coincide throughout. by their intersection a second triangle, which is called the polar triangle of the first. Thus, if A, B, and C are the poles of the arcs of great circles, JS'C", A'C", and A'B', respectively, A'B'C' is the polar triangle of ABC. Since all... | |
 | William Chauvenet - Geometry - 1887 - 346 pages
...circles are described, these arcs form by their intersection a second triangle, which is called tho polar triangle of the first. Thus, if A, B, and C are the poles of the arcs of great circles, B'C', A'C', and A'B', respectively, A'B'C' is tho polar triangle of ABC. Since all... | |
 | William Chauvenet - 1893 - 340 pages
...equal A'B', and the two triangles will coincide throughout. by their intersection a second triangle, which is called the polar triangle of the first. Thus, if A, B, and C are the- poles of the arcs of great circles, B'C', A'C', and A'B', respectively, A'B'C' is the polar triangle of ABC. Since all... | |
 | William C. Bartol - Geometry, Solid - 1893 - 112 pages
...corresponding diedral angle between the planes of these circles are equal in value (188). 191. If, from the vertices of a spherical triangle as poles, arcs of great circles be described, a second spherical triangle will be formed which is called the polar triangle of the... | |
 | George Albert Wentworth - Geometry - 1894 - 456 pages
...corresponding polyhedral angle 0-ABCD, the sum of all the face angles is less than 860°. § 540 733. If, from the vertices of a spherical triangle as poles, arcs...called the polar triangle of the first. Thus, if A, B, C are the poles of the arcs of the great circles B'C', A'C', A'B', respectively, then A'B'C' is the... | |
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