In the Roman Catholic Church mitres are divided into three classes: (1) Mitra pretiosa, decorated with jewels, gold plates, &c.; (2) Mitra auriphrygiata, of white silk, sometimes embroidered with gold and silver thread or small pearls, or of cloth of gold plain; (3) Mitra simplex, of white silk damask, silk or linen, with the two falling bands behind terminating in red fringes.
At mass and vespers the mitra simplex may be substituted for it in the same way as the auriphrygiata for the pretiosa.
The simplex is worn on Good Friday, and at masses for the dead; also at the blessing of the candles at Candlemas, the singing of the absolution at the coffin, and the solemn investiture with the pallium.
Simplex and duplex obligatio were the old names for what are now more commonly called a single and a double or conditional bond.
Plicare, plectere, to plait, pleat, weave, and in the suffixes of such words as borXauws, duplex, double, simplex, &c. Similarly the termination "-fold" is added to numbers implying "so many," e.g.
There is thus a complete division into the five kinds, the complex, simplex, crunodal, acnodal and cuspidal.
And it then appears that there are two kinds of non-singular cubic cones, viz, the simplex, consisting of a single sheet, and the complex, consisting of a single sheet and a twin-pair sheet; and we thence obtain (as for cubic curves) the crunodal, the acnodal and the cuspidal kinds of cubic cones.
A non-singular cubic is simplex, consisting of one odd circuit, or it is complex, consisting of one odd circuit and one even circuit.
It may be added that there are on the odd circuit three inflections, but on the even circuit no inflection; it hence also appears that from any point of the odd circuit there can be drawn to the odd circuit two tangents, and to the even circuit (if any) two tangents, but that from a point of the even circuit there cannot be drawn (either to the odd or the even circuit) any real tangent; consequently, in a simplex curve the number of tangents from any point is two; but in a complex curve the number is four, or none, - f our if the point is on the odd circuit, none if it is on the even circuit.
The cable is supposed to be worked duplex; but, if 5, C1, C2, and AC are removed and the key connected directly with C3, the arrangement for simplex working is obtained.