. The cyclopaedia; or, Universal dictionary of arts, sciences, and literature. Encyclopedias and dictionaries. E X T this divided by 3 a1 will give 9 as for tlic next term of tlie quotient, &c. But the roots of quantities of this kind are much more expeditioully obtained by means of the binomial theorem. For the fquare root of a'1 +- .va = a^+PV^ ; and a11 +V]» ="a7)'1 + J Xa''! X *'. , X â ^ xa 1 x> + -,'_ x a "â x\ Sec. = (bringing the of a from the numerators to the denominators, »' by changing the figns of their exponents) a + â â *7> + - 16a , &c. Thus alfo the c
. The cyclopaedia; or, Universal dictionary of arts, sciences, and literature. Encyclopedias and dictionaries. E X T this divided by 3 a1 will give 9 as for tlic next term of tlie quotient, &c. But the roots of quantities of this kind are much more expeditioully obtained by means of the binomial theorem. For the fquare root of a'1 +- .va = a^+PV^ ; and a11 +V]» ="a7)'1 + J Xa''! X *'. , X â ^ xa 1 x> + -,'_ x a "â x\ Sec. = (bringing the of a from the numerators to the denominators, »' by changing the figns of their exponents) a + â â *7> + - 16a , &c. Thus alfo the cube root of a' -f .v' = a' -+⢠.\ and a' + *3| =a'i + § x a1 \* X x> X x> + &c. = a^'j + \ x~a~] 3 X â j x â i X a7) 5 *> + X a' X a'j X*V> x° + x , &.C. a + § x a â" x3 â 5- x a Sjfi 81 as x .v + â¢Â«â ', &c. = a + â->-â7 + 3a 9a , &c. See Maclaurin's Algebra, part i. ch. viii. p. 50, 51. See Root, EXTRACTOR, in Midwifery, an inftrument contrived to extract children in cafes or difficult births. We have the defcription of a forceps for extracting children by the head when lodged low in the pelvis of the mother, in the Medic. Eff. Edinb. vol. iii. art. 20. See alfo the abridg- ment of this book, vol. ii. p. 438, where fome alteration is mentioned of this inftrument from GifTard's Midwifery, and an improvement of it by Mr. Freke. See Forceps. EXTRACTUM Catharticum, a form of medicine in the London Difpenfatory, intended as an equivalent for the extraelum Rudii, commonly called Rudius's pill, and which is for many reafons a better compofition than that pill. It is now called " extra&um colocynthidis com- ; See Colocynthis. EXTRADOS, the outfide of a vault. EXTRANEOUS Fossils, in Geology. Adventitious, fecondary, or figured foffils, have among them (fee Fossils, Extraneous) thofe remains and exuvia of organized beings, which are found imbedded in the ftrata of the earth. Since the difcovcry of
Size: 2927px × 854px
Photo credit: © The Book Worm / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1800, bookdecade1810, booksubjectencyclo, bookyear1819
