Alexander Schmidt, Shakespeare Lexicon and Quotation Dictionary

Sensible, 1) having a sensation, perceiving, feeling: “I might not this believe without the s. and true avouch of mine own eyes,” Hml. I, 1, 57. With of: “being not mad, but s. of grief,” John III, 4, 53 (== feeling grief, grieved). “if thou wert s. of courtesy,” H4A V, 4, 94. “his hand, not s. of fire, remained unscorched,” Caes. I, 3, 18 (feeling no heat).
In a moral sense, == feeling: “my woe too s. thy passion maketh more feeling-painful,” Lucr. 1678. “with affection wondrous s. he wrung Bassanio's hand,” Merch. II, 8, 48. “that I am guiltless of your father's death, and am most s. in grief for it,” Hml. IV, 5, 150 (Qq sensibly).
2) capable of perception, endowed with feeling: “thy outward parts would move each part in me that were but s.” Ven. 436. “who are of such s. and nimble lungs that they always use to laugh at nothing,” Tp. II, 1, 174. “this s. warm motion,” Meas. III, 1, 120. “thou art s. in nothing but blows,” Err. IV, 4, 27. “only s. in the duller parts,” LLL IV, 2, 28. love's feeling is more “soft and s.” IV, 3, 337. “the wall, being s., should curse again,” Mids. V, 183. “I would your cambric were s. as your finger,” Cor. I, 3, 95.
3) perceptible, tangible: “from whom he bringeth s. regreets, to wit, besides commends and courteous breath, gifts of rich value,” Merch. II, 9, 89. “art thou not, fatal vision, s. to feeling as to sight,” Mcb. II, 1, 36. Punning in Shr. IV, 1, 66.
4) full of good sense, judicious: “'twas a good s. fellow,” Wiv. II, 1, 151. “if ever the s. Benedick bear it,” Ado I, 1, 265. V, 1, 184. “above the sense of sense, so s. seemeth their conference,” LLL V, 2, 259. “a s. tale,” Shr. IV, 1, 66. “you are very s., aud yet you miss my sense,” V, 2, 18. “you took it like a s. lord,” H4B I, 2, 220. “to be now a s. man, and presently a beast,” Oth. II, 3, 309.