coordinate geometry

There he learnt Turkish and even wrote a book on coordinate geometry in that language.

Again, to illuminate the mechanical method, it is convenient to use a little bit of coordinate geometry.

Algebraically it is generated by applying the rules of vectors and coordinate geometry to a space with four dimensions.

Families of cyclides give rise to various cyclidic coordinate geometries.

In coordinate geometry, lines in a Cartesian plane can be described algebraically by linear equations.

In those situations where a line is a defined concept, as in coordinate geometry, some other fundamental ideas are taken as primitives.

Treatise on Plane Coordinate Geometry (1858, 3rd ed., 1861)

COGO is a suite of programs used in civil engineering for solving coordinate geometry problems.

Other seven coordinate geometries include the mono-capped octahedron and mono-capped trigonal prism.

He was taught by John Buridan at the university of Paris, and was known for being an "inventor [of] coordinate geometry.

A proof that this characterization of the hyperbola is equivalent to the conic-section characterization can be done without coordinate geometry by means of Dandelin spheres.

Sidney Luxton Loney, The Elements of Coordinate Geometry, Macmillan and Company, Limited, London 1897.

Students in geometry (Year 1 students, Freshman), learn logic, truth tables, parallel lines, transversals, rules of polygons, coordinate geometry, circles, and geometry of solids.

Survey data can be directly entered into a GIS from digital data collection systems on survey instruments using a technique called coordinate geometry (COGO).

However, by the end of the 18th century, most of the algebraic character of coordinate geometry was subsumed by the calculus of infinitesimals of Lagrange and Euler.

Periodic boundary conditions in 1, 2 and 3 dimensions have been implemented through the Lorentz field (-point), and an internal coordinate geometry optimizer allows full (atom+cell) relaxation using analytic derivatives.

In classical mathematics, analytic geometry, also known as coordinate geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis.

The second section is the 60-minute, 60-question mathematics test with 14 covering pre-algebra, 10 elementary algebra, 9 intermediate algebra, 14 plane geometry, 9 coordinate geometry, and 4 elementary trigonometry questions.

The French mathematicians Franciscus Vieta and later René Descartes and Pierre de Fermat revolutionized the conventional way of thinking about construction problems through the introduction of coordinate geometry.

The coordinate geometry given by F for F a Pythagorean field satisfies many of Hilbert's axioms, such as the incidence axioms, the congruence axioms and the axioms of parallels.

A particular excavated level (corresponding, for example, to a bronze Age occupation floor) can be 'modelled' on a computer screen and the power of coordinate geometry embodied in a sophisticated computer program allows us to view it from any angle and at any elevation.

The outline of such an axe can be measured very precisely and processed by various techniques of coordinate geometry (including, incidentally, one originally invented by marine engineers to measure the shape of ship hulls) to give a final mathematical 'fingerprint' of the axe's shape.

In coordinate geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system.

He discovered Newton's identities, Newton's method, classified cubic plane curves (polynomials of degree three in two variables), made substantial contributions to the theory of finite differences, and was the first to use fractional indices and to employ coordinate geometry to derive solutions to Diophantine equations.

In Maxime Bôcher's 1891 dissertation, Ueber die Reihenentwickelungen der Potentialtheorie, it was shown that the Laplace equation in three variables can be solved using separation of variables in 17 conformally distinct quadric and cyclidic coordinate geometries.