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Origination by some process, mathematical, chemical, or vital; production; formation; as, the generation of sounds, of gases, of curves, etc.

That which generates; the point, or the mathematical magnitude, which, by its motion, generates another magnitude, as a line, surface, or solid; -- called also describent.

A treatise on this science. Astronomical, or Mathematical, geography treats of the earth as a planet, of its shape, its size, its lines of latitude and longitude, its zones, and the phenomena due to to the earth's diurnal and annual motions. -- Physical geography treats of the conformation of the earth's surface, of t…

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…

The art or the science of drawing; esp. of drawing according to mathematical rules, as in perspective, projection, and the like.

Harmonic series or progression. See under Progression. -- Spherical harmonic analysis, a mathematical method, sometimes referred to as that of Laplace's Coefficients, which has for its object the expression of an arbitrary, periodic function of two independent variables, in the proper form for a large class of physica…

Relating to that kind of homology or symmetry, the mathematical conception of organic form, in which all axes are equal. See under Promorphology.

ich treats of the laws of motion and action of nonelastic fluids, whether as investigated mathematically, or by observation and experiment; the principles of dynamics, as applied to water and other fluids.

[In this sense the plural is always indices.] Index error, the error in the reading of a mathematical instrument arising from the zero of the index not being in complete adjustment with that of the limb, or with its theoretically perfect position in the instrument; a correction to be applied to the instrument readings…

s, those errors in instrumental measurements, etc., which arise, exclusively from want of mathematical accuracy in an instrument.

rvals; true pitch. (b) The giving all chords and intervals in their purity or their exact mathematical ratio, or without temperament; a process in which the number of notes and intervals required in the various keys is much greater than the twelve to the octave used in systems of temperament. H. W. Poole.…

curves, curves produced by machinery, or a combination of motions, as distinguished from mathematical curves.

See Mathematical.

An instrument for experimenting upon the mathematical relations of musical sounds. It consists of a single string stretched between two bridges, one or both of which are movable, and which stand upon a graduated rule for the purpose of readily changing and measuring the length of the part of the string between them.…

ong the settlers was alarming. Bill of mortality. See under Bill. -- Law of mortality, a mathematical relation between the numbers living at different ages, so that from a given large number of persons alive at one age, it can be computed what number are likely to survive a given number of years. -- Table of mortalit…

osophy (as opposed to the theories of Descartes and others), and, most frequently, to the mathematical theory of universal gravitation. -- Newtonian telescope (Astron.), a reflecting telescope, in which rays from the large speculum are received by a plane mirror placed diagonally in the axis, and near the open end of…

The symbol, quantity, or thing upon which a mathematical operation is performed; -- called also faciend.

A mathematical point; -- regularly used in old English translations of Euclid.

vision of morphology created by Haeckel. It is essentially stereometric, and relates to a mathematical conception of organic forms. See Tectology.

A mathematical instrument for laying down and measuring angles on paper, used in drawing or in plotting. It is of various forms, semicircular, rectangular, or circular.