 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
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...polyhedral angle 0-AB CD, the sum of all the face angles is less than 360°. § 581 §783 791. DBF. If, from the vertices of a spherical triangle as poles, arcs of great circles are described, another spherical triangle is formed, called the polar triangle of the first. Thus, if A is the pole... | |
 | George Albert Wentworth - Trigonometry - 1902 - 256 pages
...The sum of the angles of a spherical triangle is greater than 180° and less than 540°. 4. If, from the vertices of a spherical triangle as poles, arcs of great circles are drawn, another triangle is formed so related to the first that each angle of either triangle is the... | |
 | George Albert Wentworth, George Anthony Hill - Logarithms - 1903 - 348 pages
...The sum of the angles of a spherical triangle is greater than 180° and less than 540°. 4. If, from the vertices of a spherical triangle as poles, arcs of great circles are drawn, another triangle is formed so related to the first that each angle of either triangle is the... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...than 360°. § 581 .'. AB + BC + CD + DA < 360°. § 783 BOOK VIII. SOLID GEOMETRY. 791. DBF. If, from the vertices of a spherical triangle as poles, arcs of great circles are described, another spherical triangle is formed, called the polar triangle of the first. Thus, if A is the pole... | |
 | Daniel Alexander Murray - 1906 - 466 pages
...lies on the same side of BC as does A, namely A^\ and similarly for the other intersections ; then a spherical triangle is formed, which is called the polar triangle of the first triangle ABC. SPHERICAL TRIGONOMETRY. [Cn. I. are mutually equiangular when the angles of the one are... | |
 | Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...lies on the same side of BC as does A, namely Ai\ and similarly for the other intersections ; then a spherical triangle is formed, which is called the polar triangle of the first triangle ABC. Two spherical polygons are mutually equilateral when the sides of the one are respectively... | |
 | Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...lies on the same side of BO as does A, namely At; and similarly for the other intersections ; then a spherical triangle is formed, which is called the polar triangle of the first triangle ABC. SPHERICAL TRIG ONOMETR Y. [Cn. I are mutually equiangular when the angles of the one... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...angles of the polygon are equal to the corresponding dihedral angles of the polyhedron. 673. If from the vertices of a spherical triangle as poles, arcs of great circles are drawn, these arcs form a second triangle which is the polar triangle of the first. 674. ABC is any... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...DBF. If from the vertices of any spherical triangle as poles arcs of great circles are drawn, another triangle is formed which is called the polar triangle of the first triangle. Thus, if A is the pole of the great circle arc B'C ' , B the pole of the great circle arc... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...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. Thus, if A is the pole of the arc of the great circle JB'C", B of C'A', C of A'B', A'B'C' is the polar triangle... | |
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