Page:Cyclopaedia, Chambers - Supplement, Volume 2.djvu/916

 RUL

RYE

the other line continually, and take the refult for a dividend. 4 . Multiply the remaining terms continually, and let the product of them be a divifor. 5 . The quotient of this divi- sion will be the term required.

By producing terms here, are meant, whatever neceffarily and jointly produce any effecT ; as the Caufe and the Time ;

length, breadth, and depth ; buyer and his money ; feller and

his goods j all neceflarily infeparable in producing their feve-

ral effects.

In a queftion where a term is underftood, and not exprefTed

that term may be exprefTed by unity.

Example. If 250/. ferve fix perfons for nine months; how

long will 1000/. ferve four perfons at the fame rate ?

Here the terms which exprefs the condition are.

£■ P- M - 250 16:9

correfponding terms 1000 : 4 : Q.

Where Q_is put to reprefent the term required. Among the conditional terms, fix perfons and nine months are producing, and 250/. is produced : among their corre- fponding terms four perfons and Qjire producing, and 1000/. are produced.

But it being impoffible to multiply the producing terms in the fecond line, and the produced in the firft, becaufe Q_is unknown ; therefore multiply the producing terms of the firft Jine, by the produced in the fecond, and divide by the pro- dud of the reft.

Then will Q= £ X 9 * I00 ° = 6 X 9 = 54- 4 X 25°

See Mr. Dotffon's Anti logarithmic Canon, pag. 38. fcq. But tf the notion of producing and produced terms mould feem obfeure, thofe who have a knowlege of the docTrine of compound ratios, will eafily perceive that in the foregoing queftion, Q_is to 9 months in the compound ratio of 4 per- fons to 6 perfons inverfely, and of J 000/. to 250/. directly

Q_= 6 1000, , ~ 6 X Q X 1000

X— — » therefore Q^. * ^ = 54

that is, _^"

9 4 " 250 4X 250

as before. And in like manner may other queftions, relating

to the compound rule of proportion, be ftated and folved,

however complex. RUNT (Suppl.) — Runt is alfo a name given to Scotifh or

Welch neat, or cows of a fmall fize. Dlii. Ruft. in voc. RUPTURE, (Cycl) in furgery. See the article Hernxa 9

Cyd. and Suppl. RupTus.E-//Vf, the Englifhnameof a genus of plants, called

by^ botanifts Herniaria. . See the article Herniaria> Suppl. RUSH (Suppl.) — Flowering-Rvsa, the Engjifh name of a

genus of plants, called by botanifts Butmus, See the article

Butomus, Suppl. RUSSET, a country word for a dark brown colour. Ruft.

Didr. in voc. RUT (Suppl.) — Rut is alfo the term ufed for the track or

mark of a wheel in the road. Ruft. Diet, in voc. RYE-Gmfs, in botany, the fame with what is otherwife called

Rey-grafs. Seethe article RcY-GVa/}, Suppl.