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cal; 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.

ollow 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 ma…

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

peration; 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.

A mathematical instrument, consisting of a slip of wood, ivory, or metal, with one or more sets of spaces graduated and numbered on its surface, for measuring or laying off distances, etc., as in drawing, plotting, and the like. See Gunter's scale.

Any lineal or mathematical diagram; an outline. To draw an exact scheme of Constantinople, or a map of France. South.

A mathematical instrument, consisting of two rulers connected at one end by a joint, each arm marked with several scales, as of equal parts, chords, sines, tangents, etc., one scale of each kind on each arm, and all on lines radiating from the common center of motion. The sector is used for plotting, etc., to any scale…

ally go together; an assortment; a suit; as, a set of chairs, of china, of surgical or mathematical instruments, of books, etc. [In this sense, sometimes incorrectly written sett.]

and execute; ability to perceive and perform; expertness; aptitude; as, the skill of a mathematician, physician, surgeon, mechanic, etc. Phocion, . . . by his great wisdom and skill at negotiations, diverted Alexander from the conquest of Athens. Swift. Where patience her sweet skill imparts. Keble.…

n ways or guides by screws or otherwise, and having compound motion. -- Slide rule, a mathematical instrument consisting of two parts, one of which slides upon the other, for the mechanical performance of addition and subtraction, and, by means of logarithmic scales, of multiplication and division. -- Slide valve. (a…

tricate problem or difficult question; explanation; clearing up; -- used especially in mathematics, either of the process of solving an equation or problem, or the result of the process.

scribed by a point, called the generatrix, moving along a straight line according to a mathematical law, while the line is revolving about a fixed point called the pole. Cf. Helix.

The branch of mathematics which studies methods for the calculation of probabilities.

Right, in a mathematical sense; passing from one point to another by the nearest course; direct; not deviating or crooked; as, a straight line or course; a straight piece of timber. And the crooked shall be made straight. Isa. xl. 4. There are many several sorts of crooked lines, but there is only one which is straight…

That branch of applied mathematics which teaches the art of determining the area of any portion of the earth's surface, the length and directions of the bounding lines, the contour of the surface, etc., with an accurate delineation of the whole on paper; the act or occupation of making surveys. Geodetic surveying, geod…

To adjust, as the mathematical scale to the actual scale, or to that in actual use.

et closely suggestive of its origin in nature, and this system of tuning, although not mathematically true, yet satisfies the ear, while it has the convenience that the same twelve fixed tones answer for every key or scale, C# becoming identical with D, and so on.

Of or pertaining to Torricelli, an Italian philosopher and mathematician, who, in 1643, discovered that the rise of a liquid in a tube, as in the barometer, is due to atmospheric pressure. See Barometer. Torricellian tube, a glass tube thirty or more inches in length, open at the lower end and hermetically sealed at th…

That branch of mathematics which treats of the relations of the sides and angles of triangles, which the methods of deducing from certain given parts other required parts, and also of the general relations which exist between the trigonometrical functions of arcs or angles.

final university examination for classical honors, optional to all who have taken the mathematical honors. C. A. Bristed. -- Tripos paper, a printed list of the successful candidates for mathematical honors, accompanied by a piece in Latin verse. There are two of these, designed to commemorate the two tripos days. Th…