This section is from the book "An Illustrated Flora Of The Northern United States, Canada And The British Possessions Vol1", by Nathaniel Lord Britton, Addison Brown. Also available from Amazon: An Illustrated Flora of the Northern United States, Canada and the British Possessions. 3 Volume Set..
Fig. 1615
Polygonum maritimum L. Sp. PI. 361. 1753. Polygonum glaucum Nutt. Gen. 1: 254. 1818.
Perennial, glaucous, often nearly white, glabrous, root usually deep, woody, stem prostrate or ascending, branched, 8'-2o' long, deeply striate. Leaves oblong, elliptic or sometimes ovate, mostly equalling or longer than the internodes, 3"-12" long, fleshy, veined beneath, somewhat rugose above, the margins often revolute; ocreae large, silvery, at length lacerate, becoming brown at the base; flowers 1-3 together in the axils, becoming slender-pedicelled; sepals white or pinkish, the margins decidedly pink; achene 3-angled, ovoid, 1 1/2-2" long, acute or blunt, smooth, shining, longer than the calyx.
In sands of the seashore, Massachusetts to Florida. Also on the coast of Europe. Coast knot-grass. July-Sept.
Fig. 1616
Polygonum Fowleri Robinson, Rhodora 4: 67. 1902.
Perennial, glabrous, pale green or slightly glaucous, stem 3'-24' long, prostrate, usually much branched, striate. Leaves ovate-lanceolate, oblong or obovate, 3"-15" long, short-petioled, obtuse or abruptly pointed at the apex, veined beneath, inconspicuoulsy so above, shorter than the internodes or equalling them; ocreae becoming lacerate, silvery, brown and glaucous at the base when old; flowers 2-4 together in the axils; sepals greenish, or the margins white or pinkish: achene ovoid, 3-angled, 2"-2i" long, slightly granular but shining, acuminate, exceeding the calyx.
In waste places, New Brunswick, Anticosti and Quebec to Maine. Also from Alaska to Washington. May-Sept. P. Rayi Babington, with which this was confused in our first edition, is not definitely known to occur on this continent.
Fig. 1617
Polygonum leptocarpum Robinson, Proc. Bost. Soc. Nat. Hist. 31: 263. 1904.
Annual, glabrous, stem very slender, copiously branched, about 1° tall, nearly terete, the branches angled. Leaves various, the lower ones early deciduous the upper ones linear-lanceolate to linear, 3"-4" long, acute, pale green; ocreae becoming very finely lacerate, brown or reddish-brown at the base; flowers sessile or nearly so; sepals 4 or 5, green and with whitish or reddish margins; stamens 4 or 5, included; style 3-parted; achene slender, 3-angled, lanceolate, less than 1 1/2" long, curved at the apex.
Kansas. Sept.-Oct.
Fig. 1618
P. exsertum Small, Bull. Torr. Club 21: 172. 1894.
Annual, glabrous, sometimes slightly glaucous, stem slender, brownish, erect or nearly so, conspicuously striate, branched, 1 1/2°-3° tall. Leaves lanceolate, rarely oblanceolate, 1/2'-1 1/2" long, acute or cuspidate at the apex, acuminate at the base, nearly sessile; ocreae soon lacerate, silvery, becoming brownish; sepals 6, greenish, with white margins; stamens 5 or 6, included; achene stout, 3-angled, 2 1/2"-3" long, more or less constricted above the middle, chestnut-brown, smooth, shining, 2-3 times as long as the calyx, at length twisted.
In brackish marshes, New Brunswick to New Jersey; and on prairies and sand bars, Saskatchewan to Illinois and Nebraska. Aug.-Oct. This is considered by some a "semi viviparous " state of P. ramosissimum.
 
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