congruence ce (konggroens)

[= OF. F. con gruence = Sp. Pg. congruencia = It. congruenza = D. congruentie = G. congruenz = Dan. kon gruents, L. congruent i a, ment; consistency. Also congruency. IMG:content-1071.png:[blocks in formation] x6-1=(x-1)( x - 2)( x - 3) ( x -4)( x -5) ( x -6) (mod. 7), which means that any integer being substituted for æ, the remainders of the quantities on the two sides of the sign after division by 7 are equal. See congruency. 3. In gram., concord; agreement. -4. Same as congruency, 2. - Linear congruence, a congruence in which the unknown number is not multiplied into itself. congruency (kong'grö-en-si), n. 1. Same as congruence, 1. The philosophic cabbala and the text have a marvellous fit and easy congruency. Dr. H. More, Conjectura Cabbalistic a (1653), p. 236. 2. In math., a continuous and doubly infinite system of infinite straight lines; the system of all the forms of any given kind in space which fulfil two conditions, as all the double tangent lines of a surface. The order of a congruency is the number of its rays that lie in an arbitrary plane; the cla of a congruency is the number of its lines that pa through an arbitrary point; the order - cla is the number that intersects both of an arbitrary pair of lines, which is the same as the sum of the order and cla . Also congruence. - Congruency of rotations or forces, a system of rotations or forces which belong at once to two, three, or four complexes. - Crem on i an congruency, a twofold system of rays, each of which pa es through a pair of corresponding points in two planes having a Cre monian correspondence. - Double congruency, a sys tem of rotations or forces belonging at once to three complexes. Triple congruency, a system of forces or rotations belonging at once to four complexes.