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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.

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 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.

. 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…

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

luent. 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.

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

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.

nition; -- 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 impo…

rated or accepted for immediate use in the demonstration of some other proposition, as in mathematics or logic.

Learning; especially, mathematics. [R.] Pope.

That science, or branch of applied mathematics, which treats of the action of forces on bodies.

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…