10 ENGLISH BOOKS RELATING TO «SPHERICAL POLYGON»
Discover the use of
spherical polygon in the following bibliographical selection. Books relating to
spherical polygon and brief extracts from same to provide context of its use in English literature.
Robert D. Miller 1837 Burrwood Circle E. Lansing, Ml 48823 0 Problem 0 Given a
spherical polygon described by its vertices, find its area. Each side of a spherical
polygon is a great circle arc on a sphere. Finding the area of a spherical ...
2
Machining Impossible Shapes
Figure 8 shows four great circles and a spherical polygon formed by taking
intersection of these great circles. Classifying Edges on Spherical Polygon: When
all the spherical polygons are formed, we can proceed to classify various part
edges ...
Gustav J. Olling, Byoung K. Choi, Robert B. Jerard, 1999
Moreover, related papers by L.A.Shor and Yu.A.Volkov have been added as supplements to this book.
N.S. Dairbekov, A.D. Alexandrov, Semën Samsonovich Kutateladze, 2006
4
Spatial Tessellations: Concepts and Applications of Voronoi ...
The term 'spherical polygon' mentioned above is a 'polygon' on a sphere S. To be
precise, let S, be a hemisphere on S. Then, a spherical polygon is defined by the
set of points on S which is obtained from the combination of intersections ...
Atsuyuki Okabe, Barry Boots, Kokichi Sugihara, 2009
5
Plane and Solid Geometry
657. Spherical Polygon. A portion of a spherical surface bounded by three or
more arcs of great circles is called a spherical polygon. The bounding arcs are
called the sides of theipolygon, the angles between the sides are called the
angles of ...
6
Mathematics of Surfaces XI: 11th IMA International ...
The area of each individual spherical polygon will be less than 2π in most cases.
Below is the description of the algorithm For each vertex v in V { face-list → Get
the list of faces for the current vertex. Order the faces around the current vertex in
...
Ralph Martin, Helmut Bez, Malcolm Sabin, 2005
7
The Mathematics Dictionary
Two polygons are mutually equilateral if their corresponding sides are equal.
equilateral spherical polygon. A spherical polygon which has all of its sides equal
. E'QUI-LIB'RI-UM, n. equilibrium of forces. The property of having their resultant ...
8
Theory of Shell Structures
Appendix 7 The area of a spherical polygon The surface area of a simply-
connected spherical polygon, drawn on the surface of a sphere of unit radius,
depends only on the angles at its vertices. Each edge of such a polygon (or n-
gon) is, ...
9
Elements of Geometry and Trigonometry: With Notes
... example, in other words, if the polygon is £ of the tri-rectangular polygon, then
the corresponding solid angle will also be | of the right solid angle.
PROPOSITION XXIV. THEOREM. The surface of a spherical polygon is BOOK VII.
179.
Adrien Marie Legendre, 1822
1*33 Area of a Spherical Polygon Let AX, A2, Ay.., An be a spherical polygon
having n sides. Take any point P on the surface of the sphere within the polygon
and join PioAuA2, A„. Thus the polygon is divided into n triangles PAXA2, PA2 ...
Dr. S. K. Sharma, Dr. R. K. Gupta, Dr. Dhirendra Kumar
