14. H. parviflòrus, Bernh. Stem 3--6° high, with numerous slender branches above; _leaves thin, ovate-lanceolate, taper-pointed_, somewhat serrate, petioled, _rough above_, pale and puberulent beneath; peduncles slender, rough; scales ovate and ovate-lanceolate, ciliate. (H. microcephalus, _Torr. & Gray_.)--Thickets, Penn. to Ill., and southward. 15. H. lævigàtus, Torr. & Gray. Stem slender (1--6° high), simple or sparingly branched, glaucous, _glabrous throughout_, as well as the slightly serrate _lanceolate leaves_ which are usually narrow and attenuate to the base.--Dry soil, Alleghany Mts., and southward. [++][++] _Heads larger; rays usually over 10; spreading by creeping root stocks._ [=] _Leaves sessile or subsessile to short-petiolate, serrulate or entire._ 16. H. doronicoìdes, Lam. Finely pubescent and roughish, 3--7° high; leaves _sessile_, ovate-oblong, acute, _triply-nerved above, the broadly cuneate base, serrulate_; scales loose, attenuate, mostly 6--8´´ long, hairy. (H. cinereus, var. Sullivantii, _Torr. & Gray_.)--Dry ground, Ohio to Mo. 17. H. divaricàtus, L. Stem simple or forked and corymbed at the top (1--4° high), _smooth below; leaves all opposite and divaricate, ovate-lanceolate, 3-nerved from the rounded or truncate sessile base_, tapering gradually to a sharp point (3--6´ long), serrate, _thickish, rough both sides_; scales narrowly lanceolate, attenuate, ciliate, equalling the disk; rays 8--12.--Thickets and barrens; common.--Disk 6´´ wide; rays 1´ long. 18. H. hirsùtus, Raf. _Stem_ simple or forked above, stout (1--4° high), _bristly-hairy; leaves all shortly petioled, ovate-lanceolate_, gradually pointed, _slightly serrate_, rounded or obtuse at the base, _very rough_ above, usually rough-hairy beneath; scales ovate-lanceolate, pointed, equalling the disk; rays about 12.--Dry plains, Ohio to Wisc., and southward. 19. H. strumòsus, L. Stem (3--6° high) very smooth below, often glaucous; _leaves ovate-lanceolate, tapering gradually to a point_, or the lower ovate and acute, abruptly contracted into short margined petioles, rough above, _whitish and naked or minutely downy underneath_; scales broadly lanceolate with spreading tips, ciliate, equalling the disk; rays 9--15.--Var. MÓLLIS, Torr. & Gray, has the leaves downy underneath, often subcordate, the scales looser and more attenuate.--River-banks and low copses; common, especially westward. 20. H. tracheliifòlius, Willd. Like the last; leaves thinner and nearly equally green both sides, more sharply serrate, all distinctly petioled; scales all loose and spreading, exceeding the disk, often much elongated.--Copses, Penn. and Ohio to Minn., and southward. [=][=] _Leaves longer-petiolate, thinnish or soft, coarsely serrate, commonly broad; scales loose, hirsute-ciliate._