The Beginnings of Analytic Geometry in Three Dimensions

1948 ◽  
Vol 55 (2) ◽  
pp. 76 ◽  
Author(s):  
J. L. Coolidge
Keyword(s):  
Three Dimensions ◽  
Analytic Geometry

scholarly journals On the Implicit Equation of Conics and Quadrics Offsets

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1784
Author(s):  
Jorge Caravantes ◽  
Gema M. Diaz-Toca ◽  
Mario Fioravanti ◽  
Laureano Gonzalez-Vega
Keyword(s):  
Three Dimensions ◽  
Analytic Geometry ◽  
Implicit Equation ◽  
Determinantal Representation ◽  
Point Positioning ◽  
Geometric Queries ◽  
Expanded Form

A new determinantal representation for the implicit equation of offsets to conics and quadrics is derived. It is simple, free of extraneous components and provides a very compact expanded form, these representations being very useful when dealing with geometric queries about offsets such as point positioning or solving intersection purposes. It is based on several classical results in “A Treatise on the Analytic Geometry of Three Dimensions” by G. Salmon for offsets to non-degenerate conics and central quadrics.

A Treatise on the Analytic Geometry of Three Dimensions.

Biometrika ◽  
1959 ◽  
Vol 46 (1/2) ◽  
pp. 271
Author(s):  
F. N. David ◽  
George Salmon ◽  
C. H. Rowe
Keyword(s):  
Three Dimensions ◽  
Analytic Geometry

scholarly journals A Treatise on the Analytic Geometry of Three Dimensions. Vol. I

1912 ◽  
Vol 6 (99) ◽  
pp. 351 ◽  
Author(s):  
G. Salmon ◽  
R. A. P. Rogers
Keyword(s):  
Three Dimensions ◽  
Analytic Geometry

scholarly journals A Treatise on the Analytic Geometry of Three Dimensions. Vol. II

1915 ◽  
Vol 8 (119) ◽  
pp. 160 ◽  
Author(s):  
M. Long ◽  
G. Salmon ◽  
R. A. P. Rogers
Keyword(s):  
Three Dimensions ◽  
Analytic Geometry
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