Page:Cyclopaedia, Chambers - Volume 2.djvu/911

 T R I

c 2 S 2 ]

T R I

twelve Priefts, who lodge in a Quarter of the HofpitaJ, 'as in a Monallery, and live there in Community,

Order of the Holy Trinity. See Trinitarian- Trinity Sunday, is the next Sunday after Whitfim-fwi- day ; thus call'd, becaufe on that Day was anciently held a Feftival, (as it ftill continues to be in the Romip Church) in Honour of the Holy trinity.

The Observation of this Feltival was firft enjoin'd by the Council of Mes in 1260.

Trinity Hottfe, is a kind of College at 1De$tf&rd 7 be- longing to a Corporation of Sea-faring Perfons, who have Power, by the King's Charter, to take Cognizance of fuch as deftroy Sea-Marks, to correct the Faults of Sailors, &c. and to take Care of leveral other Things belonging to Navi- gation and the Seas, the Examination of young Officers, &c. Anno 8° Mm.

TRINIUMGELD, Thri-nigon-gild, a Compenfa- tion us'd among our Saxon Anceitors for great Crimes, which were not abfolv'd but by paying a Fine thrice nine Times. See Geld.

TRINODA Nccejfttas, in our ancient Cuftoms, were JExpeditio 5 Montis, & Arch Reparatio ; going to the Wars, repairing of Bridges, and of Caftles.

Thefe were the three Exceptions anciently inserted in the King's Grants of Lands to the Church, after the Words that freed them from allfecular Service. See Pontage.

TRINODIA feme, in our ancient Writers, denotes a Quantity of Land containing three Perches. See Perch.

TRINOMIAL, orTRiNOMiNAL Root, in Mathematicks, is a Root confifting of three Parts, connected together by the Sign -j-. See Root.

Such is x-\-y-\-z. See Binomial.

TRIO, in Mufic, a Part of a Concert, wherein there are only three Perfons ling; or a mufical Composition confiding of three Parts.

Trio's are the fine ft Kind of Composition ; and thefe and Recitativo's are what pleafe moil in Concerts.

TRIOCTILE, in Aitrology, an Afpect. or Situation of two Planets with regard to the Earth, when they are three Octaves, or eight Parts of a Circle diftant from each other.

This Afpect, which fome call the Sefquiquadrans, is one of the new Afpedfs fuper-added to the old ones by Kepler. See Aspect.

TRIONES, in Aflronomy, &&{ ttpytra^, q. d. plough- ing Oxen ; a Sort of Conftellation or Affemblage of feven Stars in Urfa Minor 5 popularly call'd Charles's Wane. See Ursa minor.

From the Septan Trlones the North Pole takes the Deno- mination Septentrio. See North, £5?c.

TRIOURS, in Law, fuch as are chofen by the Court to examine whether a Challenge made to the Panne I, or any of them, be juftor no. See Jury.

TRIP, a Sea Term, A Ship is faid to bear her Topfails a-trip, when /he carries them hoifled up to the higheft.

TRIPARTITION, is a Divifion by three, or the taking the third Part of any Number or Quantity. See Parti- tion and Division.

Hence Tripartite, Tripartitus, fomething divided into three Parts, or made by three Parties : an Indenture Tripar- tite, &c. See Indenture.

TRIPLE, Threefold, Ratio. See Ratio.

Triple, in Mafic, is one of the Species of Meafure or Time. See Time.

T'riple TiM?? confiSti of many different Species ; whereof there are in general four, each of which has its Varieties. — The common Name ol Triple is taken hence, that the whole or half Meafure is divifible into three equal Parts, and beat accordingly.

The firft Species is call'd the fiinpde Triple, whofe Mea- fure is equal either to three Semibreves, to three Minims, three Crotchets, three Quavers, or three Semiquavers ; which are mark'd thus, T or^, ^ *, ^.5 but the laft is not much us'd, except in Church Mufic.

In all thefe, the Meafure i s divided into three equal Parts or Times, call'd thence Triple Time, or the Meafure of three 'Times, whereof two are beat down, and the third up.

The fecond Species is the mix\i Triple : Its Meafure is equal to fix Crotchets, or fix Quavers, or fix Semiquavers, and accordingly mark'd |, or J, or T | ; but the laft is fel- dom us'd.

Some Author? add other two, viz. fix Semibreves, and Hk Minims, mark'd •£ or| ; but thefe are not in Ufe.

The Meafure here is ufually divided into two equal Parts or Times, whereof one is bear down, and one up; but it may alio be divided into fix Times, whereof the firft two are beat down, and the third up ; then the next two down, and tlje laft up; i. e. each half of the Meafure is beat like the f.mple Triple, fon which Account it may be call'd the Com- pound Triple); and becaufe it mav be thus divided either into two or fix Times, (/. e. two Triples) 'tis call'd mix'd, and by feme the Meafure of fix Times.

The third Species is the Compound Triple, confifting of nine Crotchets, or Quavers, or Semiquavers, mark'd |, |, r V? the firft and laft are little us'd,; fome alfo add $, |, which are never us'd.

This Meafure is divided either into three equal Parts or Times, whereof two are brat down, and one up ; or each, third Part may be divided into three Times, and beat like the fimple Triple 5 on which Account it is call'd ike Meafure of nine Times.

The fourth Species is a Compound of the fecond Species, containing twelve Crotchets, or Quavers, or Semiquaver?, mark'd y, * g % J.*, to which fbme add ' T - and '-\ which arc never us'd ; nor are the firft and third much us'd, efpecially the latter.

The Meafure, here, may be divided into two Times, ar.d beat one down, and one up ; or each half may be divided, and beat as the fecond Species, either by two or three; in which Cafe it will make in all twelve Times, and hence is call'd the Meafure of t-welve Times.

The Trench and Italian Authors make a great many more Species and Divifions of Triple Time, unknown, or, at Ieaft, unregarded by our Englijh Muficians, and therefore nor fo neceffary to be dwelt upon here.

TRIPLICATE Ratio, is the Ratio which Cubes bear to each other. See Cube",

This Ratio is to be diftinguim'd from T'riple Ratio, and may be thus conceiv'd.

In the Geometrical Proportionals 2, 4, 8, 16, 32 ; ss the Ratio of the firft Term (2) is to the third (8), Duplicate of the firft to the fecond ; or as 4, the Square of 2, is Du- plicate of 16, the Square of 4 ; fo the Ratio of 2 to jg, the fourth Term, is Triplicate ; or as 8, which is the Cube of 2, to 641 the Cube of 4. — And this Triplicate Ratio is compounded of all the preceding Ratio's. Harris.

TRIPLICATIO, Triplication, in Civil Law, is the fame with Surjoinder in Common Law. See Surjoinder.

TRIPLICITY, among Aft rologers, is the Divifion of the Signs, according to the Number of the Elements 5 each Di- vifion confifting of three Signs.

Triplicity, a Term frequently confounded with Trine- AfpeB ; tho', ftricTily fpeaking, the two are very different Things.

■ Triplicity is only us'd with regard to the Signs 5 and Trine, on the contrary, with regard to the Planets. — The Signs of Triplicity are thofe which are of the fame Nature, and not thofe which are in Trine- AfpecT:. — Thus Leo, Sa- gittary, and Aries are Signs of Triplicity, becaufe thofe Signs are all fuppos'd fiery. See Sign.

TRIPLOIDES, of the Greek, t?/-tao©-, a Surgeon's In- strument, with a three-fold Bafis, us'd in the reftoring great Depreffions of the Skull. See Trepanum.

TRIPOD, or Tripos, in Antiquity, a fam'd facred Seat or Stool, fupported by three Feet, whereon the Priefts and Sybils were plac'd to render Oracles. See Oracle.

'Twas on the Tripos that the Gods infpir'd them with that divine Fury and Enthufiafm, wherewith they were feiz'd at the delivering their Predictions. See Enthu- siasm.

M. Sfanheim. obferves, that on Roman Medals, the Tripod exprcfTes fome Priefthood, or facerdotal Dignity. — A Tri- pod with a Crow and a Dolphin, is the Symbol of the Duum- viri, deputed for the keeping of the Sybillin Oracles, and for the consulting them on Occafion.

TRIPODIUM.— In the Laws of Mm, I. occurs this Paf- fage. — In quibus vero caufis triplicem ladam haberet, ferae judicium Tripodii, i.e. Co Solid.; The Meaning whereof is, that as for a fmall Offence, or for a trivial Caufe, the Com- pofition was twenty Shillings ; fb for a great Offence, which was to be purg'd Triplici lada, the Composition was three times twenty Shillings, viz, Tripodio.

TRIPOLI, or Tripoly, call'd alfo Almia, a kind of Chalk, or white foft Stone, bordering a little on red, us'd in polifhing the Lapidaries, Goldfmiths, Copperfmiths, and Glafs-grinders Works. See Glass, Grinding, Polish- ing, i£c.

Some imagine Tripoli to be a common Stone, burnt and calcin'd by the fulphurous Exhalations which happen to be under the Mines where it is found N : Of thefe Mines there are a Number in divers Parts of Europe, particularly in Italy, where the Tripoli is very good. — Others take it for a Native Earth.

TRIPPING is a Term in Heraldry. See Passant.

Tripping, in Heraldry, denotes the quick Motion of all Sorts of Deer, and fome other Creatures reprefented with one Foot up, as it were on a Trot,

TRIPTHONGUE, in Grammar, an Affemblage or Con- courft of three Vowels in the fame Syllable, as u a e. See Syllable.

^ui'dtilimi, lib. I. cap. 6. aflerts, that there never was any Syllable of three Vowels, but that one of them was always

turn'd