a. (sb.) Also 7–8 suppli-. [f. SUPPLEMENT sb.1 + -AL.] = SUPPLEMENTARY. Const. to, of.
Supplemental air, the air that remains in the lungs after an ordinary expiration: cf. quot. 1855 s.v. SUPPLEMENTARY a. b.
1605. Bacon, Adv. Learn., II. ii. § 7. Wee speake nowe of parts of Learning supplementall, and not of supererogation.
1629. Gaule, Holy Madn., 134. Womens Supplimentall Art, does but the rather bewray Natures Defects.
1668. Hale, Pref. to Rolle’s Abridgm., c j b. An Appendix was intended that might have been supplemental of some Titles.
1768. Blackstone, Comm., III. xxvii. 448. If new matter arises, which did not exist before, he [sc. the plaintiff] must set it forth by a supplemental bill.
1795. Mason, Ch. Mus., II. 153. All those supplemental graces which really serve to assist musical expression.
1866. Liddon, Bampton Lect., v. (1875), 220. Viewed in its historical relation to the first three Gospels it is supplemental to them.
1866. Huxley, Physiol., iv. (1869), 104. About as much more in addition to this remains in the chest after an ordinary expiration, and is called Supplemental air.
1872. T. Bryant, Pract. Surg. (1878), I. 563. Supplemental teeth are occasionally developed in both temporary and permanent sets.
b. Math.
Supplemental angle, either (in relation to the other) of two angles that are together equal to two right angles. Supplemental arc, either of two arcs that are together equal to a semicircle. Supplemental chord, the chord of a supplemental arc. Supplemental triangle, either (in relation to the other) of two spherical triangles in which the angular points of the one are the poles of the sides of the other, and each side of the one is the supplement of the corresponding angle of the other.
1798. Hutton, Course Math. (1827), I. 315. Let C and D be two angles … standing on the supplemental arc AEB; then will the angle C be equal to the angle D.
1827. Airy, Trigon., in Encycl Metrop. (1845), I. 683. Suppose great circles EF, FD, DE … to be described, of which A, B, C are respectively the poles; they will intersect in the points D, E, F, and form a spherical triangle, called the polar or supplemental triangle.
1840. Lardner, Geom., vii. 78. If a quadrilateral figure be inscribed in a circle, its opposite angles will be supplemental.
1842. Penny Cycl., XXIII. 300/1. Chords or arcs of a circle or other curve which have a common extremity, and together subtend an angle of two right angles at the centre, are sometimes called supplemental chords or arcs.
c. sb. A supplementary fact, etc. rare.
1670. Blount, Law Dict., Pref. (1691), (a) ij. In the Supplementals, Bracton, Britton,… and divers other Authors have been my Guides.
1836. Southey, Lett. (1856), IV. 454. There are three works which I shall want for our supplementals.
1852. De Morgan, in Graves, Life Sir W. R. Hamilton (1889), III. 344. You do not see how I get my supplementals.
Hence Supplementally adv., by way of supplement.
1768. Woman of Honor, III. 254. Clara, in her turn, or supplementally for her sister, would bless me with her company.
1853. G. S. Faber, Downfall Turkey, 77. The cities of the Medes are only subjoined supplementally.
