Fundamentals of Mathematics from and Advanced Viewpoint. Vols. 3 and 4; Geometry and Geometric Analysis; Solid Geometry and Spherical Trigonometry

1971 ◽  
Vol 55 (394) ◽  
pp. 482
Author(s):  
H. Martyn Cundy ◽  
E. G. Kogbetliantz
Keyword(s):  
Geometric Analysis ◽  
Spherical Trigonometry ◽  
Solid Geometry

Coda

2021 ◽  
Vol 50 (4) ◽  
pp. 619-621
Author(s):  
Michael Silverstein
Keyword(s):  
High School ◽  
Spherical Trigonometry ◽  
Solid Geometry ◽  
Prep Schools

These interesting situations in which generics play a key role in interactional pragmatics sparked my memory of solid geometry and spherical trigonometry class at Stuyvesant High School in the early 1960s. Each morning our instructor, the somewhat irascible Mr. Burns, would start off by asking a question on the day's material, calling for a response by ‘[student surname]’. Stuyvesant, in those days an all-male institution, functioned, like prep schools, on a surname basis for both reference and address; the teachers’ names were prefaced by Mr. or Mrs. or Miss, while student names had no prefixed title.

Concerning Cross Track Distance at Mid-Longitude (3)

2005 ◽  
Vol 58 (1) ◽  
pp. 152-153
Author(s):  
Paul Hickley
Keyword(s):  
The Other ◽  
Spherical Trigonometry ◽  
Map Projection ◽  
Solid Geometry ◽  
Cross Track

I am grateful to both Dr Ponsonby and Sqn Ldr Hoare for their responses to my original article and would like to thank them for replying. It is interesting that they have come up with such different approaches, one based on solid geometry (but not spherical trigonometry) and the other based on a map projection, which both give exact or near-exact answers.

scholarly journals Plane Trigonometry, Solid Geometry, and Spherical Trigonometry.

1943 ◽  
Vol 50 (7) ◽  
pp. 450
Author(s):  
Beatrice L. Hagen ◽  
W. W. Hart ◽  
W. L. Hart
Keyword(s):  
Spherical Trigonometry ◽  
Solid Geometry

Geometric Analysis of a Foldable Barrel Vault With Origami

2013 ◽  
Vol 135 (11) ◽  
Author(s):  
Jianguo Cai ◽  
Yixiang Xu ◽  
Jian Feng
Keyword(s):  
Geometric Analysis ◽  
Radius Of Curvature ◽  
Spherical Trigonometry ◽  
Longitudinal Length ◽  
Relationship Of ◽  
The Relationship

This paper investigates the geometry of a foldable barrel vault with modified Miura-ori patterns, which displays a curvature during the motion. The principal of spherical trigonometry was used to obtain the relationship of the inclined angles between adjacent folded papers of Miura-ori. Then, the radius, span, rise, and longitudinal length of the foldable barrel vault in all configurations throughout the motion are determined. The results show that the radius of curvature grows exponentially and the span increases during deployment. Furthermore, the rise increases first, followed by a decrease with increasing deployment angle.

Ungraded Classes for Superior Pupils

1944 ◽  
Vol 37 (2) ◽  
pp. 81-83
Author(s):  
Burr D. Coe
Keyword(s):  
High School ◽  
Plane Geometry ◽  
Spherical Trigonometry ◽  
Elementary Algebra ◽  
Solid Geometry ◽  
Intermediate Algebra

Elementary algebra, plane geometry, intermediate algebra, plane and spherical trigonometry, solid geometry, and advanced algebra are all being studied in the same room at the same time. Sounds something like a one-room country school, doesn't it? This is being done by a group of mentally superior pupils in two ungraded classes (taught by the writer) at Monroe High School.

scholarly journals Plane Trigonometry, Solid Geometry, and Spherical Trigonometry

1943 ◽  
Vol 18 (2) ◽  
pp. 94
Author(s):  
J. William Peters ◽  
Walter W. Hart ◽  
William L. Hart
Keyword(s):  
Spherical Trigonometry ◽  
Solid Geometry

scholarly journals A Geometric Investigation of the Skeleton of CSG Objects

1990 ◽  
Author(s):  
Debasish Dutta ◽  
Christoph M. Hoffmann
Keyword(s):  
Computer Vision ◽  
Motion Planning ◽  
Mesh Generation ◽  
Medial Axis ◽  
Geometric Analysis ◽  
Constructive Solid Geometry ◽  
Solid Geometry

Abstract We sketch an algorithm for computing the skeleton (medial-axis surface) of an object defined using constructive solid geometry (CSG). The skeleton can be used in blending, motion planning, medical tomography, computer vision, and in mesh generation. We also present a geometric analysis of Voronoi surfaces from which the skeleton is composed, for a large number of surface pairs arising often in practice.

Devices for the Mathematics Classroom: A simple quadrant compasses

1954 ◽  
Vol 47 (7) ◽  
pp. 498-500
Author(s):  
William J. Hazard
Keyword(s):  
Mathematics Classroom ◽  
Spherical Trigonometry ◽  
Solid Geometry

The teacher of spherical trigonometry and solid geometry will find the simple quadrant compasses illustrated in Figure 1 a convenient device for drawing circles on a blackened globe. It is easy to use and makes it possible to obtain results that are more uniform than free-hand drawings.

Solid Geometry and Spherical Trigonometry.

1944 ◽  
Vol 51 (4) ◽  
pp. 226
Author(s):  
Virgil Snyder ◽  
H. C. L. Leighton
Keyword(s):  
Spherical Trigonometry ◽  
Solid Geometry
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