EEF

861

EEL

°Be of wif GtrLAR > or Eight-angled Triangle, a triangle,lose angles is right, or equal to 90 degrees. See

. ^EciTr'n

'tie en, ICATION, in geometry, the finding of a right

^•»e equ i . „ . - „ „

®f a o. 1 to a proposed curve, or simply finding the length

a< lva n( _^ Ve "l> ne ; a problem which, even in the presentCo, >si(l ei , a y ate analysis, is attended, in many cases, with

*each

len anc * ent geometers, who were not able to assign5 4 few • an y curve-line whatever ; though they could,fhe f lm lnstanc es, determine the area of a curvilinear space.

difficulty ; and was, in all, totally beyond the

!•"“> as rec tification of a curve-line was effected by Mr. H.

* fre i' Ve are informed by Dr. "Wallis, at the conclusion of

* tat)oi a We 0n ^ ie Cissoid. This curve was the semi-cubicalAutt. ’ an< i Neal’s rectification of it was published in July

of

Y iCLiiu^auua ui ah nao m u ij

s t> 1657 ; and, in 1659, the same was done by Van

It j s ! 111 Holland.

!*lo< ° w ever, to the doctrine of fluxions and differentialfini te aat We owe the complete rectification of curve-lines,rr ’"an s , te ^ m s, when they admit of it; and in others, by

. | a 6nite series, circular arcs, logarithms,a Sup 6s IIHNEAE, or Eight-lined, a term

Jt be,. ‘OSft TlP1*iTViafon AAnoiata »«irrV» + 1inaa

&c.

i,-wh n . - - . applied to

P er ‘ me ter consists of right lines.

• ^EDa-vtA^’ R' e official residence of a parish priest,of ' Va Ps i, ■ (French ), projections constructed at intervalst^P r es erv . Ul ' t on sloping or uneven ground, for the purpose^ a " is Ble ®ame height through its whole length. Af ^E[jnr T S , 0 a small angular fort.

Sa C a? UBT >

f toh, at 'o n ,

>n

«u

passages. Eedoubts are usually figuresor six sides, encompassed with a ditch,

or Eedoubte (from the Latin reductus) in0 "t. small square fort, without any defence but in

and ln trenc l |es > li nes °f circumvallation, contraval-^ and a PP roac h; as also for the lodging of corps de

sll^ee f t0 de fenda b’ r f£ Ur ’ five,

tal? a nd eart h, which consists of two parts, called ram-■ e °fst ^ ara P et - In marshy grounds, redoubts are oftenJ e ' r fa Ce 0ne ")vork, for the security of the neighbourhood ;

tl lerr> C( |. ns ' sts of from ten to fifteen fathoms ; the ditchtli P ef s, vvl ,r0In to nine feet broad and deep : and their ,„. pfi are cut into embrasures and merlons, have

li^ he inni" l - ness *

b e I* 8 of °f s flnare redoubts are usually between the

thg ^nded 6 ^ 6 an d thirty-two yards ; and when they are toUiv d®f(;n Ce musketry, the number of men necessary togi v 6s the nu* 11 ^ Blus determined : half the side squared,

Of 6tt ""mb 111 der of troops ; and twice the square root of an t s pU;,r e er °f men, shows the length in yards of the side'rig proper to contain them.

«bj| copy of a Figure, Design, or Draught, the mak-

-pP r eser v ; Jt ’ e ‘ther larger or smaller than the original,teA hp gr eat ® the form and proportion.fiat Ct 'on Q p Use of the proportional compasses is in theh? of T , 'Sires, &c., whence they are also called com-

‘V^Ec °io tlon -

otb e ’ s esp ec - a dining-hall or refreshment room. Thej)!L , 'eli»j r ,„ la y applied to the dining-halls of monastic orestablishments.

pUce s j’ n 0r (Reflect, in painting, is understood ofe 'Sht r efl a Picture which are supposed to be illuminatedP'eeg < ect ed from some other body, represented in the

Hg > reg

liVu 111 ^ he defined those places which, beside■, r that illumines the whole niece, receive some

C'ls^sht

illumines the whole piece, receive someV:"'m iria -, on ) their situation with respect to someupon ,if >0lishe d body, that reflects part of the raysv k Xes are l" 6 ” 1,

^ • n scarcely sensible, except in the shadowed4 z

parts. The management of the reflexes requires great accu-racy and skill. All reflected light is supposed to carry withit part of the colour of the body which reflects it: so thatthose places which receive this light must have their colourmixed or tinged with that colour. But the same place mayreceive reflexes from different objects, differently coloured,and those, again, receive reflexes from others. The painter,therefore, must have a view to every circumstance of thecolour, light, and position of each figure ; he must considerwhat effect each has on others, and pursue nature throughall the variety of mixtures.

EEGLET, or Eiglet, (from the French reglette), a flatnarrow moulding, used chiefly in compartments and panels,to separate the parts, or members, from each other, and toform knots, frets, and other ornaments. The reglet, accord-ing to Daviler, differs from the fillet and listel, in that it pro-jects equally, like a ruler.

REGRATING, among masons, &c., taking off the outersurface of an old hewn stone, with the hammer and ripe, inorder to whiten and make it look fresh again.

REGULA, a band below the tcenia in the Doric archi-trave.

REGULAR FIGURE, a figure that is both equilateraland equiangular; i. e., whose sides, and consequently itsangles, are all equal.

The equilateral triangle and square are regular figures.All other regular figures, consisting of more than four sides,are called regular polygons. Every regular figure may beinscribed in a circle.

Regular Body, called also Platonic Body, a solid, ter-minated on all sides by regular and equal planes, and whosesolid angles are all equal.

The regular bodies are five in number, viz., the cube,which consists of six equal squares ; the tetrahedron, or regu-lar triangular pyramid, having four equal triangular faces ;the octahedron, having eight; the dodecahedron, havingtwelve pentagonal faces ; and the icosahedron, having twentytriangular faces.

Regular Architecture, such as has all its parts disposedin regular symmetry, or that has its parts disposed incounter-parts.

REINS OF A VAULT, see Vault.

REJOINTING, the filling up of the joints of stones in oldbuildings, &c., when worn hollow by the course of time, orby weather. Rejointing is to be performed with the bestmortar, as that of lime and cement ; sometimes also withplaster, as in the joints of vaults, &c.

RELATION, in architecture, between the several partsand members of an edifice, constitutes what is otherwisecalled symmetry.

RELIEVO , Relief, or Embossment, a term applied to afigure which projects from the ground, or plane, on which itis formed, whether it be cut with the chisel, moulded, oreast. There are three kinds of relievo, viz. alto, basso, anddemi-relievo.

Alto-relievo, haut relief, or high relievo, is when the figureis formed after nature, and projects as much as the life.

Basso-relievo, bas relief, or low relievo, is when the workis raised but a little from its ground, as in medals, and thefrontispieces of buildings, particularly the histories, festoons,foliages, and other ornaments, in friezes. See Basso-Relievo.

Demi-relievo is when one half of the figure rises from theplane, i. e., when the body of a figure seems cut in two, andone-half is clapped on a ground. When, in a basso-relievo,some parts stand clear out, detached from the rest, the workis called a demi-bosse. "