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A Greek geometer of the 3d century

Related to Euclid, or to the geometry of Euclid. Euclidian space (Geom.), the kind of space to which the axioms and definitions of Euclid, relative to straight lines and parallel lines, apply; -- called also flat space, and homaloidal space.

Shak. Asses' Bridge. Etym: [L. pons asinorum.] The fifth proposition of the first book of Euclid, "The angles at the base of an isosceles triangle are equal to one another." [Sportive] "A schoolboy, stammering out his Asses' Bridge." F. Harrison. -- To make an ass of one's self, to do or say something very foolish or…

two eras or events. Ten years' distance between one and the other. Prior. The writings of Euclid at the distance of two thousand years. Playfair.

to spaces, whether real or imagined, in which the definitions, axioms, and postulates of Euclid respecting parallel straight lines are assumed to hold true.

A mathematical point; -- regularly used in old English translations of Euclid.

tive curvature generated by the revolution of a tractrix. This surface corresponds in non-Euclidian space to the sphere in ordinary space. An important property of the surface is that any figure drawn upon it can be displaced in any way without tearing it or altering in size any of its elements.

One of the intervals, or open places, between the lines of the staff. Absolute space, Euclidian space, etc. See under Absolute, Euclidian, etc. -- Space line (Print.), a thin piece of metal used by printers to open the lines of type to a regular distance from each other, and for other purposes; a lead. Hansard. -- Sp…

other emotion. -- A straight line. "That which lies evenly between its extreme points." Euclid. "The shortest line between two points." Chauvenet. "A line which has the same direction through its whole length." Newcomb. -- Straight-way valve, a valve which, when opened widely, affords a straight passageway, as for w…

ntention of; to have knowledge of; to comprehend; to know; as, to understand a problem in Euclid; to understand a proposition or a declaration; the court understands the advocate or his argument; to understand the sacred oracles; to understand a nod or a wink. Speaketh [i. e., speak thou] so plain at this time, I you p…