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A treatise on this science. Analytical, or Coördinate, geometry, that branch of mathematical analysis which has for its object the analytical investigation of the relations and properties of geometrical magnitudes. -- Descriptive geometry, that part of geometry which treats of the graphic solution of all problems invo…

One who analyzes; formerly, one skilled in algebraical geometry; now commonly, one skilled in chemical analysis.

lytical experiment; analytic reasoning; -- opposed to synthetic. Analytical or coördinate geometry. See under Geometry. -- Analytic language, a noninflectional language or one not characterized by grammatical endings. -- Analytical table (Nat. Hist.), a table in which the characteristics of the species or other group…

nce for the purpose of enlarging or perfecting another; as, the application of algebra to geometry.

h of mathematics that may involve calculation. Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which coëfficients or weights are ascribed. -- Calculus of functions, that branch of mathematics which treats of the forms of functions that shall s…

rve invented by Diocles, for the purpose of solving two celebrated problems of the higher geometry; viz., to trisect a plane angle, and to construct two geometrical means between two given straight lines.

he plane are sometimes, though not generally included. -- Conic sections, that branch of geometry which treats of the parabola, ellipse, and hyperbola. -- Conical pendulum. See Pendulum. -- Conical projection, a method of delineating the surface of a sphere upon a plane surface as if projected upon the surface of a…

That branch of geometry which treats of the cone and the curves which arise from its sections.

proved beyond doubt or question. The grand articles of our belief are as demonstrable as geometry. Glanvill.

ch treats of the forms and relations of parts, but not of their textures. -- Descriptive geometry, that branch of geometry. which treats of the graphic solution of problems involving three dimensions, by means of projections upon auxiliary planes. Davies & Peck (Math. Dict. ) -- De*scrip"tive*ly, adv. -- De*scrip"tiv…

l principles of any system in philosophy, science, or art; rudiments; as, the elements of geometry, or of music.

Related to Euclid, or to the geometry of Euclid. Euclidian space (Geom.), the kind of space to which the axioms and definitions of Euclid, relative to straight lines and parallel lines, apply; -- called also flat space, and homaloidal space.

One skilled in geometry; a geometrician; a mathematician. I. Watts.

Pertaining to geometry. [Obs.]

Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.

According to the rules or laws of geometry.

One skilled in geometry; a geometer; a mathematician.

laws; to make geometrical constructions; to proceed in accordance with the principles of geometry. Nature geometrizeth, and observeth order in all things. Sir T. Browne.

the horizontal component of the earth's magnetic force. -- Horizontal line (Descriptive Geometry & Drawing), a constructive line, either drawn or imagined, which passes through the point of sight, and is the chief line in the projection upon which all verticals are fixed, and upon which all vanishing points are found…

That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity. Circle at infinity, an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass.…