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Time's Inclination, to the Radius. Prom hence alfo it follows, the Inclination of the Time may be fo little, that the greateifc Weight may be fuftained on it by the leail Power. For practice therefore, Let the Weight of any Body be W, and P the Power wanted to fuftain it on an inclined J? lane. By this Theorem, R : W : : S. Incl. : V 5 that is, As Radius is to the Weight : : fo is the Sine of the Angle of the PifiKe's Inclination to the Horizon; to the Power fought. The three firft of which are given, wherefore the fourth is known.

INCOGNITO, a Term borrow'd literally from the Italian? ufed when a Perfon is in any Place where he would not be known. It is particularly applied to Princes or Great Men, who enter Towns or walk the Streets without their ordinary Train, or the ufual Marks of their Distinc- tion. The Grandees in Italy make a common Cuftom of walking the Street incognito 5 and always take it amifs, on iuch Occafions, when People pay their Compliments to them. 'Tis not barely to prevent their being known, that they take thefe Mcafurcs, but becaufe they would not be treated with Ceremony, nor receive the Honours due to their Rank. When the Horfes in Princes, Cardinals, and Ambafladors Coaches have no Taflels, which they call Fiocchi ; and the Curtains, which they §all Bandinejle^ are drawn, they are judg'd to be, incognito; and nobody that meets them is obliged to Hop or make his Honours to them. The Cardinals alfo, when they would be incog- nito, leave off the red Hat or Calotte.

INCOMBUSTIBLE, that which cannot be burnt or eenfumed by Fire. Metals melt, Stones calcine, and are yet intomhiijiibh. Cloth made of Lapis Amianthus is incom- bujhbls; it is clean'd by Fire, but not burnt. See Asbefios. At Dole in France is an incombufiible Taper. Gregory of Tours f peaks of fomc wooden Kettles in his Time that bore the Fire as long as thofe of Iron. Sylla undertook to burn down a Tower of Wood which defended ArcheUuts % one of Mnhn date j*s Lieutenants, but he could not attain his End, it being plaifter'd with Alumn. 'Tis Alumn Water wherewith thofe People befm'ear themfelves, who handle burning Coals, and mchSpaniJb Wax on their Tongues.

INCOMMENSURABLE, a Term in Geometry, ufed where two Lines, when compared to each other, have no common Meafure, how fmall foever, that will exactly meafure them both. So that after ever fo many Repeti- tions and Subtractions of equal Parts, there will always remain fome Part, by which the one is greater than the other. And in general, two Quantities are faid to be in- commenfurable, when no third Quantity can be found that will exactly meafure them both j or when thofe Quan- tities are net to one another as Number to Number, or cannot be exprefs'd by Numbers. For every thing that may be exprefs'd by Number, is commenfurable. The Side or a Square is incommenfiirable to the Diagonal, as is demonflrated by Euclid; but it is commenfurable in Pow- er: the Square of the Diagonal being equal to twice the Square of the Side. Pappur, lib.%. prob.i-j. fpeaks alfo of incommenj arable Angles. As to Surfaces which cannot be meafured by a common Surface,, they are faid to be incommenfurable in Power,

INCOMPATIBLE, that which cannot fubfift with an- other without deftroying it. Thus Cold and Heat are in- compatible in the fame Subject 5 the ftrongeft overcomes the weakeft.

INCOMPOSITE NUIVJBERS, are the fame with thofe Euclid calls Prime Numbers. In Dr. Pell's Edition of Braacj&er's Algebra, there is a Table of incompojite Num- bers : It doth not only give an orderly Enumeration of all odd Numbers which are not compofite; but it mews alfo,. that none of the reft are fo. This Table being of good ufe, the Reader is refer'd to it..

INCORPORATION, is the mixing of the Particles of different Bodies fo together, as to make an uniform Sub- ifance or Compofition of the whole, without leaving a pofiibility of difcerning the Ingredients, or Bodies mixed in any of their particular Qualities. From in and Corpus Body.

INCORPOREAL, a fpiritual Subflance ; that has no Body. Thus the Soul of Man is incorporeal, and may;fub- iiit independent of the Body. Thofe Ideas which are in- dependent of Bodies, can neither be corporeal themfelves, nor be received within a corporeal Subject. They difco- yer to us the Nature of the Soul, which receives within itfelf what is incorporeal, and receives it in a corporeal Manner too. Whence it is that we have incorporeal Ideas even of Bodies themfelves. Fenelon.

INCORRUPTIBLE, that which cannot corrupt. Thus fpiritual Substances, as Angels, Human Souls, $§c. and thus alfo Glafs, Salt, Mercury, ££c may be called incor- ruptible.

INCORRUPTIBLES, is the Name of a Sea that fprung out.of the Eutycbians. Their diftinguiihing Tenet

That the Body of Jefus Chrift was incorruptible', by which they meant, that after and from the Time wherein he was formed in the Womb of his holy Mother, he was not fufceptible of any Change or Alteration 5 not even of any natural and innocent Paffions, as of Hunger,Thirft, &c. So that he eat without any occafion, before his Death, as well as after his Refurreclion. And hence it was that they took their Name.

INCRASSATING, is the rendering Fluids thicker than before, by the Mixture of lefs fluid Particles. See jigglutinating.

INCRUSTATION, an Ornament in Architecture, con- fiding of hard polifli'd Stones, or other brilliant Matter difpoied in Com parti men ts in the Body of a Building. The hicmfiations in the Caftle at Madrid are of Potters Work: Thofe in the Louvre of Marble. We fay 'tis an Incrufiation of Stone or Marble, when a Wall is lined with them. The Antients call'd their Plailters incrujiationu

INCRUSTED COLUMN, is a Column confifting of feveral Pieces or ijender Branches of fome precious Mar- ble, mafticated or cemented around a Mould of Brick, or other Matter 5 which is done, not only to fave the pre- cious Stone, whether it be Agat, Jafper, or the like, but alfo for the fake of fhewing Pieces of it of uncommon Largenefs, by the Neatnefs and Clofenefs of the Incrufia- tion, which renders the Joints imperceptible,, where the Maftic is of the fame Colour.

INCUBATION, the Action of a Hen, or any other Fowl, hatching their Eggs.

INCUBUS, or the Nigh-Mare, is the Name of a Dif- eafc confifting. in an Oppreflion of the Breaft, fo very vi- olent, that the Patient cannot fpeak, or even breathe. In this Difeafe the Senfes arc not quite loft, but drown'd and attonim'd, as is the Under Handing and Imagination j fo that the Patient feems to think Fome huge Weight thrown on him ready to ftrangle him. Children are very liable to this Diftcmper ; fo arc fat People, and Men of much Study and Application of Mind: By rcafon the. Stomach in all thefe finds fome difficulty in Digeftion. The Incubus feems to be Coufin-German to the Epilepfy and Apoplexy; for if it lafts long, it degenerates into one or other of thofe Diftempers. Others reckon it a kind of Afthma, and call it Afihma NoBimmm, and fay it pro- ceeds from the fame Caufes, and is helped by the fame Means as the common Afthma. The word Incubus is de* rived from the Latin Incttbare, to lie down on any thing and prefs it. The Greeks called it \<pta.)Cl\is, Saltaior t Lea- per, or one that ru/hes on a Perfon.

INCUMBENT, in Law, is a Clerk refident in his Be- nefice with Cure, who is called Incumbent of that Church,. becaufe he ought to bend his whole Study to difcharge his- Cure.

INCURVATION, is the bending a Bone, or any ci- ther Body from its natural Shape. For Incurvation of the Rays of Light, fee Light and Refratlion, From in and cur-vus, crooked,

INCUS. See Ear.

INDEFEISIBLE, in our Law, fignifies what cannot be defeated or made void : As a good and mdefeifible E, ft ate.

INDEFINITE, indeterminate, that which has no cer- tain Bounds, or to which the Human Mind cannot con- ceive any. Defcartes ufes this Word, in his Philofophy, inftcad of infinite, both in Numbers and Quantities, to iignify an inconceivable Number, or Number fo great, that an Unit cannot be added to it : and a Quantity fo> great, as not to be capable of any Addition, Thus he lays, Stars, vifible and invifible, are in Number mdefaiitc^ and not as the Antients held, infinite; and that Quanti- ties may be divided into an indefinite Number of Parts, not an infinite Number. Indefinite is fometimes ufed in the Schools to fignify fomething that has but one Ex- treme ; as for inftance, a Line drawn fro»i any Point, and extended infinitely: Thus what they call Eternity a parte ante, or Eternity a parte pofi, are indefinite Dura- tions.

Indefinite, in Grammar, is underftood of Nouns, Pro- nouns, Verbs, Participles, Articles, &c. that are left in an uncertain indeterminate Senfe, and not fix'd to any parti- cular Time, Thing, or other Circumftance.

INDELIBLE, that which cannot be blotted out, or ef- faced. Thus, Baptifm, and the Order of the Priefthood, are indelible Characters. The Word is form'd from the Latin delere t to blot, with the Prepoiition in taken nega- tively.

INDEMNITY, an Aft by which one promifes to gua- rantee or fave harmlefs fome other Perfon from any Lofs or Damage that might accrue to him on any particular ac- count. From the Negative in and Damnum^ Lofs.

INDEMNITIES. When a Church is appropriated to an Abbey or College, then the Arch-Deacon iofeth his In- duction-