An elementary treatise on analytic geometry, embracing plane geometry and an introduction to geometry of threee dimensions with numerous examples.

UANL

The basic concepts of mathematics; a companion to current textbooks on algebra and analytic geometry.

pt.1. Algebra.

Analytic geometry,

"Answers to odd-numbered problems": p. 375-393.

Calculus and analytic geometry

Mode of access: Internet.

Calculus, with analytic geometry.

Includes index.

Historical development of some ideas in analytic geometry of space.

Thesis (A.M.)--Cornell Univ., June 1913.

Elements of analytic geometry.

Mode of access: Internet.

Practical analytic geometry with applications to aircraft /

"Answers": p. 273-277.

Analytic geometry.

Mode of access: Internet.

Projective and analytical geometry.

Mode of access: Internet.

A school course in geometry, including the elements of trigonometry and mensuration and an introduction to the methods of co-ordinate geometry,

Mode of access: Internet.

Notes on elements of (analytical) solid geometry /

Spine title: Venable's notes on solid geometry.

Notes and problems on solid geometry : [Text of C. Smith] /

Author's autograph on fly-leaf.

The bogomolov conjecture for totally degenerate Abelian varieties

We prove the Bogomolov conjecture for a totally degenerate abelian variety A over a function field. We adapt Zhang's proof of the number field case replacing the complex analytic tools by tropical analytic geometry. A key step is the tropical equidistribution theorem for A at the totally degenerate place.

Autonomous ship collision free trajectory navigation and control algorithms

A new autonomous ship collision free (ASCF) trajectory navigation and control system has been introduced with a new recursive navigation algorithm based on analytic geometry and convex set theory for ship collision free guidance. The underlying assumption is that the geometric information of ship environment is available in the form of a polygon shaped free space, which may be easily generated from a 2D image or plots relating to physical hazards or other constraints such as collision avoidance regulations. The navigation command is given as a heading command sequence based on generating a way point which falls within a small neighborhood of the current position, and the sequence of the way points along the trajectory are guaranteed to lie within a bounded obstacle free region using convex set theory. A neurofuzzy network predictor which in practice uses only observed input/output data generated by on board sensors or external sensors (or a sensor fusion algorithm), based on using rudder deflection angle for the control of ship heading angle, is utilised in the simulation of an ESSO 190000 dwt tanker model to demonstrate the effectiveness of the system.