. The cyclopaedia; or, Universal dictionary of arts, sciences, and literature. Encyclopedias and dictionaries. I R R I R R plict Elijah, 1 KirigR, xviii. 27, by Solomon, Ecclt-f. xi. 9, and bv our Saviour himfolf, Mark, vii. 5. IROQUOIS. See Six Nations. iROciUOis, National Muftc. Claude Pcrrault, an un- believer in the harmony or counterpoint of th^ ancients, tells us, ill his " Phyfical Effays," that Louis XIV., near the end of his reign, when lonie of the Iroquois nation were brought into France, wiiliing to hear them Hng, that he might form fomc idea of their mullc, many of them
. The cyclopaedia; or, Universal dictionary of arts, sciences, and literature. Encyclopedias and dictionaries. I R R I R R plict Elijah, 1 KirigR, xviii. 27, by Solomon, Ecclt-f. xi. 9, and bv our Saviour himfolf, Mark, vii. 5. IROQUOIS. See Six Nations. iROciUOis, National Muftc. Claude Pcrrault, an un- believer in the harmony or counterpoint of th^ ancients, tells us, ill his " Phyfical Effays," that Louis XIV., near the end of his reign, when lonie of the Iroquois nation were brought into France, wiiliing to hear them Hng, that he might form fomc idea of their mullc, many of them fung their wild melodies in uniions and oftaves, while others ac- vompanicd them in grunting like pigs ; regularly, however, marking tiie meafure by a violent jolt. And thus they at- tempered the acute voices by the mixture of the grave gru/its and rhythniical puliation? ot the others. Pen-auk imagines, from the defcripuon which Cnfiiodorus gives of harmony, or hnging together, which the ancients «-d''lcdJymj>/.<0Ny, that Roman harmony refembled that of the Iroquois. IRRADIATION, fignifies an emanation or fliooling out of rays, or fubtle effluvia, from any body. See Emana- tion, Ray, Effluvia, and Qualiiy. IRRATIONAL Numbers, the fame as furJ tiumkrs. See Surd and Numi5kks. Irrational Quantities. See Rational Quantities. Irrational Soul. See Soul. IRREDUCIBLE Case, in yl/^ehm, is an exprcffion arihng from the folution of certain equations of the third degree, which always appears under an imaginary form, notwithllanding it is, in fad, a real quantity, but the reduc- tion of it to a rational, or irrational finite cxprcffion, has at prefent reiiiled the united efforts of many of the moil cele- brated mathematicians of Europe. Every cubic equation may be reduced lo tlie form .r' -f- a x = If; and then, ac- cording to the common rule, yea. is alfo negative ; and, there- fore, when â is imaginary ; becaufe we cannot ex- traft thcfquare root of a negative quantity ; and thi
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Keywords: ., bookcentury1800, bookdecade1810, booksubjectencyclo, bookyear1819
