On the lines in space with equal distances to n given points

1977 ◽  
Vol 6 (1) ◽  
Author(s):  
O. Bottema ◽  
G.R. Veldkamp
Keyword(s):  
Lines In Space

On Five Lines, in Space of Four Dimensions, which lie upon a, Quadric Threefold and the Normal Quartic Curves of which they are Chords

1924 ◽  
Vol 22 (2) ◽  
pp. 189-199
Author(s):  
F. Bath
Keyword(s):  
Three Dimensions ◽  
Apparent Contradiction ◽  
Four Dimensions ◽  
Quartic Curve ◽  
Lines In Space ◽  
Quadric Threefold ◽  
Quartic Curves

The connexion between the conditions for five lines of S4(i) to lie upon a quadric threefold,and (ii) to be chords of a normal quartic curve,leads to an apparent contradiction. This difficulty is explained in the first paragraph below and, subsequently, two investigations are given of which the first uses, mainly, properties of space of three dimensions.

Lines in space: Combinatorics and algorithms

Algorithmica ◽  
1996 ◽  
Vol 15 (5) ◽  
pp. 428-447 ◽  
Author(s):  
B. Chazelle ◽  
H. Edelsbrunner ◽  
L. J. Guibas ◽  
M. Sharir ◽  
J. Stolfi
Keyword(s):  
Lines In Space

scholarly journals An Improved Bound for Joints in Arrangements of Lines in Space

2004 ◽  
Vol 33 (2) ◽  
pp. 307-320 ◽  
Author(s):  
Sharona Feldman ◽  
Micha Sharir
Keyword(s):  
Lines In Space ◽  
Arrangements Of Lines

SURFACES AND LINES IN SPACE

1967 ◽  
pp. 238-252
Author(s):  
William R. Gondin ◽  
Bernard Sohmer
Keyword(s):  
Lines In Space

What Points Are Equidistant from Two Skew Lines?

1969 ◽  
Vol 62 (2) ◽  
pp. 97-101
Author(s):  
Alexandra Forsythe
Keyword(s):  
Analytic Geometry ◽  
Interesting Problem ◽  
Single Plane ◽  
Lines In Space ◽  
Twelfth Grade

One spring my twelfth-grade analytic geometry students were restless. They were surfeited with the bite-sized pieces of theory parceled out in their text. What they needed was an interesting problem whose solution would require them to organize and fit together some of the facts they had been learning. This required a fairly diligent search, but we finally located the necessary problem. The statement of this problem has the double advantage of being brief and easy to understand. I found the problem intriguing myself. Here it is: Find the points equidistant from two skew lines. (Two lines in space are skew if they do not lie in a single plane.)

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