ll. Last antennal segment clavate or fusiform; win membrane with the veins often forked and anastomosing; scutellum large; tarsi each with two segments; fore legs strong. (= PHYMATIDÆ) MACROCEPHALIDÆ ee. Clavus noticeably narrowed towards the apex, never extending beyond the scutellum, the two not meeting to form a commissure; head horizontal, much prolonged between the antennæ, on each side with an antennal tubercle, sometimes acute; ocelli absent; meso- and metasternum simple; tarsi each with two segments; body flattened (fig. 19c). ARADIDÆ, including DYSODIIDÆ. dd. Pulvilli present (absent in one Australian family THAUMATOCORIDÆ in which case there is a membranous appendage at the tip of the tibia). CAPSIDÆ (= MIRIDÆ),[G] _Eotrechus_ (in family GERRIDÆ), NÆOGAIDÆ, TINGITIDÆ, PIESMIDÆ, MYODOCHIDÆ, CORIZIDÆ, COREIDÆ, ALYDIDÆ, PENTATOMIDÆ, SCUTELLERIDÆ, etc. bb. Apex of head directed ventrally, beak arising from the hinder part of the lower side of the head; sides of face contiguous to the front coxæ; first pair of wings, when present, of uniform thickness. Cicadas, scale insects, plant lice (Aphids), spittle-insects, leaf hoppers, etc. HOMOPTERA REDUVIIDÆ OF THE UNITED STATES (Adapted from a key given by Fracker). a. Ocelli none; wings and hemelytra always present in the adults; no discoidal areole in the corium near the apex of the clavus. _Orthometrops decorata_, _Oncerotrachelus acuminatus_, etc., Pennsylvania and south. _Sarcinæ_ aa. Ocelli present in the winged individuals; anterior coxæ not as long as the femora. b. Hemelytra without a quadrangular or discoidal areole in the corium near the apex of the clavus. c. Ocelli not farther cephalad than the caudal margins of the eyes; segment two of the antenna single. d. Thorax usually constricted caudad of the middle; anterior coxæ externally flat or concave. PIRATINÆ e. Middle tibiæ without spongy fossa, head long, no lateral tubercle on neck. _S. stria_, Carolina, Ill., Cal. _Sirthenia_ Spinola ee. Middle tibiæ with spongy fossa; fore tibiæ convex above; neck with a small tubercle on each side. f. Apical portion of anterior tibiæ angularly dilated beneath, the spongy fossa being preceded by a small prominence. MELANOLESTES Stäl g. Black, with piceous legs and antennæ. N. E. States (fig. 19a) M. PICIPES gg. Sides, and sometimes the whole dorsal surface of the abdomen red. Ill., and southward. M. ABDOMINALIS