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ining the shape, location, singular points, and other perculiarities of a curve from its equation. -- Plane curve (Geom.), a curve such that when a plane passes through three points of the curve, it passes through all the other points of the curve. Any other curve is called a curve of double curvature, or a twisted cu…

To have adequate or sufficient courage for any purpose; to be bold or venturesome; not to be afraid; to venture. I dare do all that may become a man; Who dares do more is none. Shak. Why then did not the ministers use their new law Bacause they durst not, because they could not. Macaulay. Who dared to sully her sweet l…

The angular distance of any object from the celestial equator, either northward or southward.

Wanting, to make up completeness; wanting, as regards a requirement; not sufficient; inadequate; defective; imperfect; incomplete; lacking; as, deficient parts; deficient estate; deficient strength; deficient in judgment. The style was indeed deficient in ease and variety. Macaulay. Deficient number. (Arith.) See under…

the sixth degree. The degree of a power, or radical, is denoted by its index, that of an equation by the greatest sum of the exponents of the unknown quantities in any term; thus, ax4 + bx2 = c, and mx2y2 + nyx = p, are both equations of the fourth degree.

The act of deliquating.

The Dolphin, a constellation near the equator and east of Aquila.

To reduce (an equation) in a lower degree. To depress the pole (Naut.), to cause the sidereal pole to appear lower or nearer the horizon, as by sailing toward the equator.

The operation of reducing to a lower degree; -- said of equations.

The tribe of aquatic Amphibia which includes Amphiuma, Menopoma, etc. They have permanent gill openings, but no external gills; -- called also Cryptobranchiata. [Written also Derotrema.]

sinking; declension; degradation. Oblique descension (Astron.), the degree or arc of the equator which descends, with a celestial object, below the horizon of an oblique sphere. -- Right descension, the degree or arc of the equator which descends below the horizon of a right sphere at the same time with the object. [O…

m which admits of a limited number of solutions. -- Determinate quantities, Determinate equations (Math.), those that are finite in the number of values or solutions, that is, in which the conditions of the problem or equation determine the number.

al, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation.

Suitable; adequate; fit. [Obs.] Chaucer.

te analysis which has for its object the discovery of rational values that satisfy given equations containing squares or cubes; as, for example, to find values of x and y which make x2 + y2 an exact square.

The water ouzel (Cinolus aquaticus) of Europe.

An extinct Quaternary marsupial from Australia, about as large as the hippopotamus; -- so named because of its two large front teeth. See Illustration in Appendix.

n is the great safeguard of all other liberties. Macaulay. Discussion of a problem or an equation (Math.), the operation of assigning different reasonable values to the arbitrary quantities and interpreting the result. Math. Dict.

isproportional; unsuitable in form, size, quantity, or adaptation; disproportionate; inadequate. -- Dis`pro*por"tion*a*ble*ness, n. Hammond. -- Dis`pro*por"tion*a*bly, adv.

; not having proportion or symmetry of parts; unsuitable in form, quantity or value; inadequate; unequal; as, a disproportional limb constitutes deformity in the body; the studies of youth should not be disproportional to their understanding.