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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.

That branch of applied mathematics which determines, by means of observations and measurements, the figures and areas of large portions of the earth's surface, or the general figure and dimenshions of the earth; or that branch of surveying in which the curvature of the earth is taken into account, as in the surveys of…

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…

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

One skilled in geometry; a geometer; a mathematician.

That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space.

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

cause of it; malady. [R.] This grief (cancerous ulcers) hastened the end of that famous mathematician, Mr. Harriot. Wood. To come to grief, to meet with calamity, accident, defeat, ruin, etc., causing grief; to turn out badly. [Colloq.]

rmonic 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 physical…

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

h 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.

. A suffix used in forming the names of certain sciences, systems, etc., as acoustics, mathematics, dynamics, statistics, politics, athletics.

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 e…

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

ent. Elliptic integral, one of an important class of integrals, occurring in the higher mathematics; -- so called because one of the integrals expresses the length of an arc of an ellipse.

t or thorough inquiry or examination; as, the investigations of the philosopher and the mathematician; the investigations of the judge, the moralist.

als; 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.…

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

tion; -- chiefly used in the plural. There is a great difference in the delivery of the mathematics, which are the most abstracted of knowledges. Bacon. Knowledges is a term in frequent use by Bacon, and, though now obsolete, should be revived, as without it we are compelled to borrow "cognitions" to express its import…