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

ls; 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.…

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

ion; -- 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.…

ed 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.…

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 mortality,…

lso the Law of Dalton, from its discoverer. -- Multiple algebra, a branch of advanced mathematics that treats of operations upon units compounded of two or more unlike units. -- Multiple conjugation (Biol.), a coalescence of many cells (as where an indefinite number of amoeboid cells flow together into a single mass)…

phy (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…

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.

tudents, in a particular branch of learning; as a professor of theology, of botany, of mathematics, or of political economy.

or branch of learning; an expert; an adept; as, proficient in a trade; a proficient in mathematics, music, etc.

ion 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.

See Methylene blue, under Methylene. -- Pure chemistry. See under Chemistry. -- Pure mathematics, that portion of mathematics which treats of the principles of the science, or contradistinction to applied mathematics, which treats of the application of the principles to the investigation of other branches of knowledg…

the Pythagorean philosophy is the idea of number, the recognition of the numerical and mathematical relations of things. Encyc. Brit. Pythagorean proposition (Geom.), the theorem that the square described upon the hypothenuse of a plane right-angled triangle is equal to the sum of the squares described upon the other t…

which can be increased, diminished, or measured; especially (Math.), anything to which mathematical processes are applicable.