orthogonal trajectories

См. также в других словарях:

• Orthogonal trajectory — In mathematics, orthogonal trajectories are a family of curves in the plane that intersect a given family of curves at right angles. The problem is classical, but is now understood by means of complex analysis; see for example harmonic conjugate …   Wikipedia

• Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   Wikipedia

• orthogonal trajectory — Math. the locus of a point whose path cuts each curve of a family of curves at right angles. [1810 20] * * * ▪ mathematics  family of curves that intersect another family of curves at right angles (orthogonal; see figure >). Such families of… …   Universalium

• Sectrix of Maclaurin — In geometry, a sectrix of Maclaurin is defined as the curve swept out by the point of intersection of two lines which are each revolving at constant rates about different points called poles. Equivalently, a sectrix of Maclaurin can be defined as …   Wikipedia

• Harmonic conjugate — For geometric conjugate points, see Projective harmonic conjugates. In mathematics, a function defined on some open domain is said to have as a conjugate a function if and only if they are respectively real and imaginary part of a holomorphic… …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Cassini oval — Some Cassini ovals. (b=0.6a, 0.8a, a, 1.2a, 1.4a, 1.6a) A Cassini oval is a plane curve defined as the set (or locus) of points in the plane such that the product of the distances to two fixed points …   Wikipedia

• Harmonic function — In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U rarr; R (where U is an open subset of R n ) which satisfies Laplace s equation,… …   Wikipedia

• Isaac Newton's later life — During his residence in London, Newton had made the acquaintance of John Locke. Locke had taken a very great interest in the new theories of the Principia. He was one of a number of Newton s friends who began to be uneasy and dissatisfied at… …   Wikipedia

• Nicolaus II Bernoulli — Nicolaus II Bernoulli, a.k.a. Niklaus Bernoulli, Nikolaus Bernoulli, (February 6, 1695, Basel, Switzerland – July 31, 1726, St. Petersburg, Russia) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family …   Wikipedia

• Orbital perturbation analysis (spacecraft) — Isaac Newton in his Philosophiæ Naturalis Principia Mathematica demonstrated that the gravitational force between two mass points is inversely proportional to the square of the distance between the points and fully solved corresponding two body… …   Wikipedia