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ted 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.…

g 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,…

also 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…

ophy (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 th…

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.

students, 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.

sion 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 knowled…

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…

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

ical; mental. Moral philosophy was his chiefest end; for the rational, the natural, and mathematics . . . were but simple pastimes in comparison of the other. Sir T. North.

hollow cylinder. This singular phenomenon was first discovered by Sir W. R. Hamilton by mathematical reasoning alone, unaided by experiment. -- Differential refraction (Astron.), the change of the apparent place of one object relative to a second object near it, due to refraction; also, the correction required to be m…

To serve as a sign or symbol of; as, mathematical symbols represent quantities or relations; words represent ideas or things.

operation; consequence or effect; as, the result of a course of action; the result of a mathematical operation. If our proposals once again were heard, We should compel them to a quick result. Milton.