(5) The line [L.sub.k] and the

conic section [phi] can intersect at [P'.sub.k] and possibly at another point [mathematical expression not reproducible], then let [P.sub.k+1] = [P'.sub.k]; otherwise, take [P'.sub.k+1] = [P.sup.[perpendicular].sub.k].

In this paper, the proposed privacy protection strategy based on

conic section abandons key encryption method and simplifies the problem to protect the real data.

A Set of Centers of Described for a Quadrangle

Conic Section. Mathematics and Informatics, 4, (2011), 15 - 20 (in Bulgarian).

There are two geometric designs represented in figure 7: the initial one that has the length z = 35 mm for the

conic section and the new one with the length z = 12.5 mm.

(3) A free point on a line, a circle, a

conic section or another curve is distributed by a variable, so we can move it to any position on the line or curve accurately by changing the value of the variable using an animation button.

Another topic of classical geometry that Lockhart investigates is that of

conic sections (first studied by Apollonius), something that has fallen somewhat out of favor in today's streamlined mathematics curriculum.

The topics include isometries in Euclidean vector spaces and their classification in Rn; the

conic sections in the Euclidean plane; linear fractional transformations and planar hyperbolic geometry; finite probability theory and Bayesian analysis; and Boolean lattices, Boolean algebras, and Stone's theorem.

For collimated beam, [5] presents an alternative GO shaping technique based on the representation of the reflector generatrices by concatenated local

conic sections. There, the authors employ rectangular coordinates to describe the local

conic sections representing the reflectors' generatrices, leading to a set of nonlinear algebraic equations.

Kanas, "Techniques of the differential subordination for domains bounded by

conic sections," International Journal of Mathematics and Mathematical Sciences, vol.

The cutout voids are very complex

conic sections, and we never would have been able to model, let alone build, these shapes without the aid of digital design and fabrication technology.

The process can produce vertical, horizontal and angled walls, mixed-material

conic sections, enclosed sections, crossovers and intersections.

The topics include before calculus, limits and continuity, the derivative in graphing and applications, principles of integral evaluation, mathematical modeling with differential equations, infinite series, and parametric and polar curves from

conic sections. Answers to odd-numbered exercises are in the end matter.