Online Etymology Dictionary

hyperaesthesia (n.): "exalted sensation," 1835, from Modern Latin (1783), from hyper- "over, exceedingly, to excess" + Greek aisthesis "feeling" (from PIE root *au- "to perceive;" see audience) + abstract noun ending -ia. Related: Hyperaesthetic.
hyperalgesia (n.): "abnormal sensitivity to pain," 1854, from hyper- "over, exceedingly, to excess" + ending probably based on analgesia. Related: Hyperalgesic.
Hyperaesthesia, then, is the peculiar state in which the absolute sensibility is increased--the minimum of stimulation needed to excite perception being less than normal. Hyperalgesia is where stimuli which normally cause only a slight sensation give rise to pain in consequence of the lowering of the pain minimum. ["The Medical Record," April 1, 1867]
hyperaphia (n.): "excessive sensitivity to touch," 1837, from German hyperaphia (1820s), from Greek aphe "touch;" also see hyper-. Related: hyperaphic "having morbid sensitiveness to touch" (1888).
hyperbaric (adj.): 1930, from hyper- "over, beyond" + -baric, from Greek barys "heavy," from PIE root *gwere- (2) "heavy" (see grave (adj.)) + -ic.
hyperbaton (n.): "figure of speech by which what should have been first according to the natural and grammatical order is put last, especially for the sake of emphasis," 1570s, from Greek hyperbaton, literally "overstepping," from hyper "over" (see hyper-) + bainein "to step" (see come). Classical grammarians distinguish as many as seven kinds of it: Anastrophe, hysteron proteron, hypallage, synchysis, tmesis, parenthesis, and hyperbaton, strictly so called.
hyperbola (n.): curve formed by the intersection of a plane with a double cone, 1660s, from Latinized form of Greek hyperbole "extravagance," literally "a throwing beyond (others);" see hyperbole, which in English is the same word in its Greek garb. Perhaps so called because the inclination of the plane to the base of the cone exceeds that of the side of the cone.
hyperbole (n.): "obvious exaggeration in rhetoric," early 15c., from Latin hyperbole, from Greek hyperbole "exaggeration, extravagance," literally "a throwing beyond," from hyper- "beyond" (see hyper-) + bole "a throwing, a casting, the stroke of a missile, bolt, beam," from bol-, nominative stem of ballein "to throw" (see ballistics). Rhetorical sense is found in Aristotle and Isocrates. Greek had a verb, hyperballein, "to throw over or beyond."
hyperbolic (adj.): 1640s in rhetoric (iperbolical is from early 15c.), from Latin hyperbolic, from Greek hyperbolikos "extravagant," from hyperbole "extravagance," literally "a throwing beyond" (see hyperbole). Geometric sense is from 1670s, from hyperbola + -ic. Related: Hyperbolically.
hyperborean (adj.): "of or from the extreme north of the Earth," 1590s, from Late Latin hyperboreanus (adj.), from Latin hyperboreus, from Greek hyperboreos "pertaining to the regions of the far north," from hyper "beyond" (see hyper-) + Boreas, name of the god of the North Wind (see boreal).

The Hyperboreans (Greek Hyperboreoi) were an imagined northern people believed by the ancients to be distinguished by piety and happiness; their land being "beyond" (hence, out of reach of) the North Wind, it was thought to be a blissful paradise. Middle English had iperborie "the far north of the Earth" (mid-15c.).
hypercritical (adj.): c. 1600, from hyper- "over, exceedingly, to excess" + critical. Related: Hypercritically.
hyperdrive (n.): by 1951, an invented word used by science fiction writers to describe anything that can power a space craft faster than the speed of light, contra Einstein. From drive (n.) with the first element perhaps abstracted from hyperspace.
hyperextend (v.): 1863, from hyper- "over, exceedingly, to excess" + extend. Related: Hyperextended; hyperextending; hyperextension.
hyperglycemia (n.): 1875, from hyper- "over" + glycemia "presence of sugar in the blood."
hyperinflation (n.): 1925 in the economic sense, from hyper- "over, exceedingly, to excess" + inflation. Earlier as a medical term in treatment of lung diseases.
Hyperion: a Titan, son of Uranus and Gaea, later identified with Apollo, from Greek, literally "he who looks from above," from hyper "over, beyond" (see hyper-).
hyperkinetic (adj.): 1880, from hyper- "over, exceedingly, to excess" + kinetic. Perhaps immediately from French hyperkinetic (1874). Related: Hyperkinesis (1869); hyperkinesia (1818).
hyperlink (n.): by 1987, from hyper- + link (n.).
hypermnesia (n.): "unusual power of memory," 1847, from hyper- "over, beyond, in excess" + -mnesia "memory," probably based on amnesia, which is older.
hyperopia (n.): "very acute vision," 1861, Modern Latin, from hyper- "over, exceedingly, to excess" + Greek ops "eye" (see eye (n.)), Latin with abstract noun ending. Related: Hyperopic.
hyperplasia (n.): 1849, from Modern Latin hyperplasia, from hyper- "over, beyond" + -plasia "formation, growth, development." Related: Hyperplastic (adj.).
hyperpnea (n.): "panting," 1860, from hyper- "over, beyond, in excess" + ending probably based on older apnea.
hypersensitive (adj.): 1827, a hybrid from hyper- "over, exceedingly, to excess" + sensitive. Related: Hypersensitivity; hypersensitiveness.
hyperspace (n.): 1866, in geometry, "imaginary space of more than three dimensions," from hyper- "over, above, beyond" + space (n.). A hybrid; correctly formed it would be superspace.
hypertension (n.): also hyper-tension, 1863, from hyper- "over, exceedingly, to excess" + tension. Originally in medical use; of emotions or nerves, from 1936.
hypertext (n.): 1969, from hyper- "over, above" + text (n.).
In place of the verbal connectives that are used in normal text, such as topic or transition sentences, hypertext connects nodes ... through links. The primary purpose of a link is to connect one card, node or frame and another card, frame or node that enables the user to jump from one to another. [David H. Jonassen, "Hypertext/hypermedia," 1989]
hyperthermia (n.): 1878, medical Latin, from hyper- "over, exceedingly, to excess" + Greek therme "heat" (see thermal) + abstract noun ending -ia.
hyperthyroidism (n.): 1895, from hyper- "over, exceedingly, to excess" + thyroid + -ism.
hypertonic (adj.): "with excessive tension or tone," 1809, from hyper- "over, exceedingly, to excess" + tonic. Related: Hypertonia; hypertonicity.
hypertrophy (n.): "excessive growth," 1821, from hyper- "over, exceedingly, to excess" + -trophy "nourishment." Related: Hypertrophic.
hyperventilate (v.): "breathe deeply and rapidly," 1931, from hyper- "over, exceedingly, to excess" + ventilate in a medical sense. Perhaps a back-formation from ventilation. Earlier in a transitive sense, "to ventilate thoroughly" (1920 of lungs, 1906 of rooms). Related: Hyperventilated; hyperventilating.
hyperventilation (n.): 1877, "method of treating certain diseases (especially tuberculosis) by exposing them to drafts of air," from hyper- "over, exceedingly, to excess" + ventilation. From 1907 as "extremely rapid deep breathing, short for hyperventilation of the lungs (1902).
hypervigilance (n.): 1917, from hyper- "over, exceedingly, to excess" + vigilance. Related: Hypervigilant.
hypha (n.): structural element of fungi, 1866, from Modern Latin plural hyphae (1810), from Greek hyphe (singular) "web," from PIE root *webh- "to weave" (see weave (v.1)). Related: hyphal.
hyphen (n.): "short dash used to connect two words or separate one," 1620s, from Late Latin hyphen, from Greek hyphen "mark joining two syllables or words," probably indicating how they were to be said or sung. This was a noun use of an adverb meaning "together, in one," literally "under one," from hypo "under" (see sub-) + hen, neuter of heis "one," from PIE root *sem- (1) "one, as one" (see same (adj.)).
hyphenate (v.): 1881, from hyphen + -ate (2). The earlier verb was simply hyphen (1814). Related: Hyphenated; hyphenating. Hyphenated American "immigrant citizen perceived as having divided loyalties" is attested from 1889.
hyphenation (n.): 1881, from hyphen + -ation. Hyphenization is attested from 1851.
hypnagogic (adj.): 1868, from French hypnagogique, from Greek hypnos "sleep" (see somnolence) + agogos "leading" (see act (n.)). Etymologically, "inducing sleep," but used mostly with a sense "pertaining to the state of consciousness when falling asleep." Related: Hypnagogically.
hypno-: word-forming element meaning "sleep," from Greek hypnos "sleep," from PIE *supno-, suffixed form of root *swep- (1) "to sleep" (see somnolence).
hypnobate (n.): "sleep-walker," 1890, from French hypnobate, from Greek hypnos "sleep" (see hypno-) + batos, verbal adjective of bainein "to go" (see come). Related: Hypnobatia.
hypnopedia (n.): also hypnopaedia, "sleep-learning," 1932, in "Brave New World," from hypno- "sleep" + ending derived from Greek paideia "education," from pais (genitive paidos) "child" (see pedo-).
hypnophobia (n.): 1855, "dread of sleep; nightmare," from hypno- "sleep" -phobia "fear." Earlier in German. Related: Hypnophobic.
hypnopompic (adj.): "pertaining to the state of consciousness when awaking from sleep," 1897, coined by English man of letters Frederic W. H. Myers (1843-1901) from hypno- "sleep" + second element from Greek pompe "sending away," from pempein "to send" (see pomp).
Hypnagogic -- Illusions hypnagogiques (Maury) are the vivid illusions of sight or sound--"faces in the dark," etc.--which sometimes accompany the oncoming of sleep. To similar illusions accompanying the departure of sleep, as when a dream-figure persists for a few moments into waking life, I have given the name hypnopompic. [F.W.H. Myers, "Glossary of Terms used in Psychical Research," Proceedings of the Society for Psychical Research, vol. XII, 1896-97, supplement]

By hypnagogic paramnesia I mean a false memory occurring in the antechamber of sleep, but not necessarily before sleep. Mr. Myers' invention of the word "hypnopompic" seems to me unnecessary except for pedantic reasons. I take the condition of consciousness to be almost the same whether the sleep is coming on or passing away. In the dream I have recorded it is even impossible to say whether the phenomenon is "hypnagogic" or "hypnopompic"; in such a case the twilight consciousness is as much conditioned by the sleep that is passing away as by the sleep that is coming on. [H. Ellis, "A Note on Hypnagogic Paramnesia," in "Mind," vol. VI, 1897]
hypnosis (n.): 1869, "the coming on of sleep," coined (as an alternative to hypnotism) from hypno- "sleep" + -osis "condition." But the distinction was not sustained, and by 1880 hypnosis was being used of artificially induced conditions.
hypnotherapy (n.): 1897, from hypno- "sleep" + therapy. Related: Hypnotherapist.
hypnotic (adj.): 1620s, of drugs, "inducing sleep," from French hypnotique (16c.) "inclined to sleep, soporific," from Late Latin hypnoticus, from Greek hypnotikos "inclined to sleep, putting to sleep, sleepy," from hypnoun "put to sleep," from hypnos "sleep" (see hypno-). Modern sense of "pertaining to an induced trance" first recorded in English 1843, along with hypnotize, hypnotism, hypnotist, in the works of hypnotism pioneer Dr. James Braid. Related: Hypnotical; hypnotically.
hypnotise (v.): alternative spelling of hypnotize; for suffix, see -ize. Related: Hypnotised; hypnotising.
hypnotism (n.): 1843, short for neuro-hypnotism (1842), coined by Dr. James Braid of Manchester, England, from hypnotic + -ism. In the same work (1843) Braid coined the verb hypnotize.
hypnotist (n.): 1843 (Braid); see hypnotic + -ist.
hypnotize (v.): 1843 (Braid); see hypnotic + -ize. Related: Hypnotized; hypnotizing.
hypo (n.): 1711, "depression of the spirits," short for hypochondria; 1904 as short for hypodermic needle.