Analytic geometry

1998 ◽  
pp. 377-408 ◽  
Author(s):  
John W. Harris ◽  
Horst Stocker
Keyword(s):  
Analytic Geometry

Introduction to Trigonometry and Analytic Geometry.

1933 ◽  
Vol 40 (4) ◽  
pp. 237
Author(s):  
B. P. Gill ◽  
Ernest Brown Skinner
Keyword(s):  
Analytic Geometry

Analytic Geometry

1916 ◽  
Vol 8 (125) ◽  
pp. 323
Author(s):  
H. B. Phillips
Keyword(s):  
Analytic Geometry

scholarly journals Analytic Geometry

1921 ◽  
Vol 10 (154) ◽  
pp. 345
Author(s):  
Maria M. Roberts ◽  
Julia T. Colpitts
Keyword(s):  
Analytic Geometry

Analytic Geometry.

1959 ◽  
Vol 66 (3) ◽  
pp. 245
Author(s):  
Alice T. Schafer ◽  
E. J. Purcell
Keyword(s):  
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.

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