FIGURATE a.
written above or below to indicate the other notes of the harmony). -- Figurate numbers (Math.), numbers, or series of numbers, formed from any arithmetical progression in which the first term is a unit, and the difference a whole number, by taking the first term, and the sums of the first two, first three, first four…
GENERATION n. 2 definitions
Origination by some process, mathematical, chemical, or vital; production; formation; as, the generation of sounds, of gases, of curves, etc.
GENERATRIX n.
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.
GEOGRAPHY n.
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…
GEOMETRY n. 2 definitions
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.
GRIEF n.
a 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.]
HARMONIC; HARMONICAL a.
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…