OpenLLM-France/wikimedia huggingface dataset:
# Illustrated Companion to the Latin Dictionary/Hieronica

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIERONI'CA (ἱερονίκης). Properly, a Greek term, which has exclusive reference to the customs of that nation. It was employed to designate the victor in any of their public games; viz. the Nemean, Pythian, Isthmian, and Olympic, which were also called sacred games, because they commenced with religious ceremonies. The illustration (Hieronica/1.1) represents a Grecian youth, crowned and habited as one of these victors, whose costume very closely resembles that ascribed to Nero, when he entered the cities of Italy as a hieronica (Suet. Nero, 25.), after contending at the Olympic races.
# Illustrated Companion to the Latin Dictionary/Hierophanta

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIEROPHAN'TA and HIEROPHAN'TES (ἱεροφάντης). A high priest and teacher of religion amongst the Greeks and Egyptians, corresponding in many respects to the Roman Pontifex Maximus. Nep. Pel. 3. Tertull. adv. Marc. i. 13.
# Illustrated Companion to the Latin Dictionary/Hierophantria

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIEROPHAN'TRIA. A priestess of similar character and dignity to the hierophanta. Inscript. ap. Grut. 538. 11.
# Euclidean vector space/R^3/Proper isometry/Representation/Fact/Proof

Due to fact, there exists an eigenvector $u$ for the eigenvalue $1$. Let $U=\mathbb {R} u$ denote the corresponding line. This line is fixed and, in particular, invariant under $\varphi$. Because of fact, also the orthogonal complement $U^{\perp }$ is invariant under $\varphi$. That is, there exists a linear isometry
    $\varphi _{2}\colon U^{\perp }\longrightarrow U^{\perp }$
that coincides on $U^{\perp }$ with $\varphi$. Here, $\varphi _{2}$ is proper. Therefore, by fact, $\varphi _{2}$ is a plane rotation. If we choose a vector of length one in $U$, and an orthonormal basis of $U^{\perp }$, then $\varphi$ has with respect to this basis the given matrix form.
# Illustrated Companion to the Latin Dictionary/Hippagines

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIPPAG'INES, HIPP'AGI, HIPPAGO'GI (ἱππαγωγοί). Horse-transports, especially for the conveyance of cavalry troops. Festus s. v. Gell. x. 25. Plin. H. N. vii. 57. Liv. xliv. 28.
# Illustrated Companion to the Latin Dictionary/Hippocampus

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIPPOCAMP'US (ἱπποκάμπος). A fabulous animal, having the fore quarters and body of a horse, but ending in the tail of a fish, like the annexed example (Hippocampus/1.1), from a Pompeian painting, which the poets and artists of antiquity commonly attach to the marine car of Neptune and the Tritons. Naev. and Lucil. ap. Non. s. v. p. 120.
# Illustrated Companion to the Latin Dictionary/Hippocentauros

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIPPOCENTAU'ROS (ἱπποκένταυρος). A horse-centaur, half-horse and half-man (Cic. N. D. ii. 2.), as opposed to the fish-centaur, half-man and half-fish (ἰχθυοκένταυρος), under which form the giants who waged war against the gods, were represented (Apollodor. i. 6. 1. Mus. Pio-Clem. iv. tav. 10.) Hippocentaurs were also represented of the female sex (Luc. Zeux. 3.), of which an example is afforded by the illustration (Hippocentauros/1.1) from a bronze discovered at Pompeii.
# Illustrated Companion to the Latin Dictionary/Hippopera

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIPPOPE'RA (ἱπποπήρα). A saddle-bag for travellers on horseback, but used in pairs, so that the plural number is applied when the equipage of a single person only is referred to. Sen. Ep. 87.
# Illustrated Companion to the Latin Dictionary/Hippotoxota

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIPPOTOX'OTA (ἱπποτοξότης). A mounted archer (Hirt. B. Afr. 19.); in most cases characteristic of foreign nations, as the Syrians (Caes. B. C. iii. 4.), Persians (Herod. ix. 49.), &c.; but men thus equipped appear to have been used amongst the light horse of the Greeks (Aristoph. Av. 1179.), and of the Romans; at least under the empire, as testified by the annexed figure (Hippotoxota/1.1), which represents a Roman cavalry bowman in the army of Antoninus, from the column of that emperor.
# Illustrated Companion to the Latin Dictionary/Hirnea

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIR'NEA. An earthenware vessel used for culinary purposes (Cato, R. R. 81. Plaut. Amph. i. 1. 273. and 276.); but of which the distinctive properties are unknown.
# Illustrated Companion to the Latin Dictionary/Hirnella

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIRNELLA. Diminutive of HIRNEA; employed at the sacrifice. Festus, s. Irnella.
# Illustrated Companion to the Latin Dictionary/Histrio

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HIS'TRIO. A word of Etruscan origin, which, in that language, signified a pantomimic performer and dancer on the stage (Liv. vii. 2.); but amongst the Romans was used in a more general sense, like our term actor, to signify any dramatic performer who delivered the dialogue of a play, with appropriate action (Cic. Fin. iii. 7.), including both actors of tragedy (Plin. H. N. xxxv. 46.) and comedy. Plin. H. N. vii. 54.
# Illustrated Companion to the Latin Dictionary/Hoplomachus

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HOPLOM'ACHUS (ὁπλομάχος). Generally, one who fights in a complete suit of heavy armour, or, as we say, armed cap-à-pie; but specially used to designate a gladiator who wore such armour (Suet. Cal. 35. Mart. viii. 74.); and as that was a characteristic of the Samnite, it is believed that the present term was only a new name brought into vogue under the empire for a gladiator of that description. See SAMNITIS.
# Illustrated Companion to the Latin Dictionary/Horarium

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HORA'RIUM. (Censorin. De Die Nat. 24.) Same as HOROLOGIUM.
# Illustrated Companion to the Latin Dictionary/Horia

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HOR'IA. A small boat employed by fishermen on the sea-coast (Non. s. v. p. 533. Plaut. Rud. iv. 2. 5. Gell. x. 25.); the peculiarities of which are unknown.
# Illustrated Companion to the Latin Dictionary/Horiola

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HOR'IOLA. Diminutive of HORIA; used on rivers. Plaut. Trin. iv. 2. 100. Gell. x. 25.
# Illustrated Companion to the Latin Dictionary/Horologium

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HOROLOG'IUM (ὡρολόγιον). An hour-measure, or horologe; a general term employed for any contrivance which marked the lapse of time, whether by day or night, and without reference to the agent employed; consequently, including the various kinds of sun-dials (solaria), and water-glasses (clepsydrae), which are enumerated in the Classed Index. Our term clock conveys an improper notion of the ancient horologium; for the only instruments known to the ancients for performing the duties of a modern clock, were water-glasses and sun-dials.
# Illustrated Companion to the Latin Dictionary/Horrearii

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HORREA'RII. Persons who had charge of the public bonding warehouses and magazines, in which merchants, and also private individuals, who had not sufficient accommodation of their own, deposited their merchandise and effects for safe custody. Ulp. Dig. 10. 4. 5. Labeon. Dig. 19. 2. 60. § 9.
# Illustrated Companion to the Latin Dictionary/Horreolum

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HORR'EOLUM. Diminutive of HORREUM. A small granary, or a barn for the storing of agricultural produce. Val. Max. vii. 1. 2.
# Illustrated Companion to the Latin Dictionary/Horreum

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HORR'EUM (ὡρεῖον). A granary, barn, or other building in which the fruits of the earth were stored (Virg. Georg. 1. 49. Tibull. ii. 5. 84.); frequently constructed, like our own, upon dwarf piers, in order to keep the floor dry, and free from vermin; in which case it was termed pensile. Columell. xii. 50. 3.
2. A store room for wine in the upper floor of a house, where it was kept to ripen after it had been put into amphorae, or, as we should say, bottled. Hor. Od. iii. 28. 7.
3. (ἀποθήκη). A repository, store room, or lumber room, in which goods and chattels of any kind were deposited for preservation, or to be out of the way, when not required for use; books, for instance (Sen. Ep. 45.); statues (Plin. Ep. viii. 18. 11.); agricultural implements (Columell. i. 6. 7.), &c.
4. Horreum publicum (σιτοφυλακεῖον). A public granary, in which large stores of corn were kept by the state, in order that a supply might always be at hand in times of scarcity, to be distributed amongst the poor, or sold to them at a moderate price. P. Victor. de Reg. Urb. Rom. Compare Liv. Epit. 60. Vell. Pat. ii. 6. 3. Plut. Gracch. 5., from which passages we learn that the first notion of building these granaries originated with C. Sempronius Gracchus.
5. A bonding warehouse, where persons of all classes could deposit their goods and chattels, whether merchandise or personal property, such as furniture, money, securities, or valuables of any kind, for safe custody. This was also a public building, as well as the last mentioned, and each quarter (regio) of the city was at one period furnished with a separate warehouse for the use of the neighbourhood. Lamprid. Alex. Sev. 39. Ulp. Dig. 10. 4. 5. Paul. Dig. 34. 2. 53. Modest. ib. 32. 1. 82.
# Illustrated Companion to the Latin Dictionary/Hortator

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HORTA'TOR (κελευστής). On board ship, the officer who gave out the chaunt (celeusma), which was sung or played to make the rowers keep the stroke, and, as it were, encourage them at their work (Ovid. Met. iii. 619. Compare Virg. Aen. v. 177. Serv. ad l.), whence the name (solet hortator remiges hortarier, Plaut. Merc. iv. 2. 5.). He sat on the stern of the vessel, with a truncheon in his hand, which he used to beat the time, as represented in the annexed engraving (Hortator/1.1), from the Vatican Virgil.
# Illustrated Companion to the Latin Dictionary/Hortulanus

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HORTULA'NUS. A nurseryman, seedsman, or general gardener. (Macrob. Sat. vii. 3. Apul. Met. iv. p. 64. ix. p. 199.) It is also probable that the same name was used to designate a florist, or flower gardener, as contradistinguished from topiarius, who attended to the shrubs and evergreens, and from olitor, the kitchen gardener; for we do not meet with any other name to designate the person who pursues this branch of the gardener's art; though it is clear, from the annexed engraving (Hortulanus/1.1), which is copied from a fresco painting in the palace of Titus, that flower gardening was a favourite occupation in his day; and the original design shows many other gardening operations, besides the two of potting and planting out, exhibited in the above specimen.
# Illustrated Companion to the Latin Dictionary/Hortulus

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HOR'TULUS (κηπίον). Diminutive of HORTUS. Catull. 61. 92. Juv. iii. 226.
# Illustrated Companion to the Latin Dictionary/Hortus

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HORTUS (κῆπος). A pleasure-ground or garden; which, from the descriptions left us, appears to have been very similar in style and arrangement to that of a modern Italian villa. Where space perrmitted it was divided into shady avenues (gestationes) for exercise in the sedan or palanquin (sella, lectica); rides for horse exercise (hippodromus); and an open space (xystus) laid out in flower beds bordered with box, and interspersed with evergreens clipped into prim forms or fanciful shapes, with taller trees, fountains, grottoes, statues, and ornamental works of art distributed at fitting spots about it. (Plin. Ep. v. 6.) This sketch of Pliny's garden might also pass for a faithful description of the pleasure grounds belonging to the Villa Pamfili at Rome.
2. The same term also includes the kitchen garden; the manner of arranging which, its cultivation, and the different kinds of vegetables grown in it, are detailed at great length by Columella, xi. 3.
3. Hortus pensilis. A moveable frame for flowers, fruits, or vegetables placed upon wheels, so that it could be drawn out into the sun by day, and removed under the cover of a glass-house at night. Plin. H. N. xix. 23. Compare Columell. xi. 3. 52.
4. Horti pensiles. In the plural, hanging gardens; i. e. artificially formed, in such a manner that the beds are raised in terraces one over the other, like steps, supported, or, as it were, suspended, upon tiers of vaulted masonry or brickwork, like the seats of a theatre. Plin. H. N. xxxvi. 20. Compare Curt. v. 1.
# Illustrated Companion to the Latin Dictionary/Hospitium

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HOSPIT'IUM. A general term for any place which affords to the traveller or stranger a temporary accommodation of board and lodging, whether it be the house of a friend, a public inn, or a hired lodging. Cic. Phil. xii. 9. Id. Senect. 23. Liv. v. 28.
2. The quarter occupied by a soldier who is billeted on a private individual. Suet. Tib. 37.
# Illustrated Companion to the Latin Dictionary/Hostia

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HOS'TIA (ἱερεῖον). A victim sacrificed to the gods; properly, as a peace-offering to avert their wrath, as contradistinguished from victima, which was offered as a thanksgiving for favours received. Victims consisted mostly of domestic animals, such as oxen, sheep, pigs, &c., and when sacrificed to the Gods of Olympus, they were slain with the head upwards, as in the annexed example (Hostia/1.1), from the Vatican Virgil; when offered to the deities of the lower regions, to heroes, or to the dead, with the head towards the earth. The larger ones were first stunned by a blow of the mallet from the hand of the popa, as in the annexed engraving (Hostia/1.2), from a Roman bas-relief; the smaller ones were struck in the throat by the cultrarius, as shown by the first example.
* Hostia/1.1
* Hostia/1.2
# Illustrated Companion to the Latin Dictionary/Humatio

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HUMA'TIO (κατόρυξις). Strictly speaking, interment; i. e. in a grave dug in the earth, which was the most ancient manner of disposing of the body after death, and amongst the Romans continued to be the prevalent custom until a late period of the republic; but the word is also used in a general sense for any other mode of burial, because the practice of throwing a small quantity of earth upon the bones and ashes was adopted when the general custom of interment had been relinquished. Cic. Leg. ii. 22. Id. Tusc. i. 43. Plin. H. N. vii. 55.
# Illustrated Companion to the Latin Dictionary/Hydraletes

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HYDRAL'ETES (ὑδραλέτης). A mill for grinding corn driven by water instead of cattle or men; which appears to have been first used in Asia (Strabo, xii. 3. § 30.), and not introduced into Italy before the time of Julius Caesar, at the earliest, and then only by a few private individuals. (Vitruv. x. 5. 2. Compare Pallad. R. R. i. 42.) The earliest mention of public water mills is about A. D. 398, under Arcadius and Honorius (Cod. Theodos. 14, 15. 4.), which were supplied by the aqueducts: and the use of floating mills was invented by Belisarius in the year 536, when Vitiges besieged the city, and stopped the mills, by cutting off the water supplied by the aqueducts. (Procop. Goth. i. 9.) From the passage of Vitruvius (l. c.), we learn that the hydraletes was very similar in operation to the common water-wheel (rota aquaria); a large wheel furnished with float boards (pinnae), which turned it with the current, and thus acted upon a cogwheel attached to its axle, by means of which the mill-stone was driven, as explained s. MOLA.
# Illustrated Companion to the Latin Dictionary/Hydraula

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HYDRAU'LA and HYDRAU'LES (ὑδραύλης). One who sings or recites to an accompaniment upon the hydraulic organ. Pet. Sat. 36. 6. Suet. Nero, 54.
# Illustrated Companion to the Latin Dictionary/Hydraulus

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HYDRAU'LUS (ὕδραυλος or -ις). A water organ (Cic. Tusc. iii. 18. Plin. H. N. ix. 8. Vitruv. x. 13.); in which the action of water was made to produce the same effect upon the bellows as is now procured by a heavy weight. The instrument is rudely indicated by the annexed engraving (Hydraulus/1.1), from a contorniate coin of the Emperor Nero; and in the collection of antiquities bequeathed to the Vatican by Christina of Sweden, there is a medal of Valentinian, which has a representation of a similar instrument on the reverse, accompanied by two figures, one on each side, who seem to pump the water which works it. It has only eight pipes, is placed upon a round pedestal, and, like the present example, affords no indication of keys, nor of any person performing upon it; whence it has been inferred that these organs were only played by mechanism.
# Illustrated Companion to the Latin Dictionary/Hydria

This article incorporates text from a publication now in the public domain: Rich, Anthony (1849). The illustrated companion to the Latin dictionary, and Greek lexicon. p. vi. OCLC 894670115. https://archive.org/details/illustratedcompa00rich.
HY'DRIA (ὑδρία). A water pail, or water can for holding clean water; more especially used to designate such as were of a superior description (Cic. Verr. iii. 19.), of bronze or silver, and of costly workmanship, like the annexed example (Hydria/1.1), from a Pompeian original.
2. In a more general sense, any kind of vessel for holding water; whence also used for the urn filled with water from which the names of the tribes or centuries were drawn out by lot, for the purpose of assigning to each one its right turn in voting; otherwise, and more specially, termed SITELLA. Cic. Verr. iii. 51.