Analytic Geometry.

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

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.

Mathematical Hull Design for Sailing Yachts

1981 ◽  
Author(s):  
John S. Letcher
Keyword(s):  
Historical Perspective ◽  
Analytic Form ◽  
Surface Shape ◽  
Analytic Geometry ◽  
Representation System ◽  
Construction Methods ◽  
Small Craft ◽  
Hull Design ◽  
Basic Concepts ◽  
Mathematical Design

Mathematical representations of hull surface shape have largely supplanted graphical fairing and lofting of lines in the shipbuilding and aircraft industries, but have had little application so far to small craft. Past methods of hull design are surveyed to put mathematical design into historical perspective and point up its many advantages. The basic concepts of analytic geometry of surfaces needed for yacht hull design are briefly introduced with references. Several special aspects of the geometry of yacht hulls, arising from considerations of aesthetics, hydrodynamics, and construction methods are discussed and cast into analytic form for inclusion in a hull design scheme. The paper explains in detail a particular representation system called FAIRLINE/1, simple enough to fit into the program and memory limitations of a TI-59 calculator, yet extremely versatile. A program listing and several example hull designs created with this program are presented.

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