While resembling the parabola in extending to infinity, the curve has closest affinities to the ellipse.
Here may be noticed three genera of large extinct marsupials from the Pleistocene of Australia whose affinities appear to ally them to the wombat-group on the one hand and to the phalangers on the other.
One of the two living species was, indeed, described so long ago as the year 1863, under the preoccupied name of Hyracodon, but attracted little or no attention, as its affinities were not fully recognized.
The affinities of the creature are clearly with the phalangers.
As regards the affinities of the creatures to which these jaws belonged, Professor Osborn has referred the Triconodontidae and Amphitheriidae, together with the Curtodontidae (as represented by the English Purbeck Curtodon), to a primitive group of marsupials, while he has assigned the Amblotheriidae and Stylacodontidae to an ancestral assemblage of Insectivora.
Broom, "On the Affinities of Thylacoleo," Proc. Linn.
Whatever the racial affinities of the early inhabitants may have been, it is certain that in historic times Rhodes was occupied by a Dorian population, reputed to have emigrated mainly from Argos subsequently to the "Dorian invasion" of Greece.
Arboreal species include the well-known opossums (Phalanger); the extraordinary tree-kangaroo of the Queensland tropics; the flying squirrel, which expands a membrane between the legs and arms, and by its aid makes long sailing jumps from tree to tree; and the native bear (Phascolarctos), an animal with no affinities to the bear, and having a long soft fur and no tail.
How did the Tasmanians with their Papuan affinities get so far south on a continent inhabited by a race so differing from Papuans?
Between several of these dialects it is probable that closer affinities exist.
It would follow, on the other hand, that what is called Oscan represented the language of the invading Sabines (more correctly Safines), whose racial affinities would seem to be of a distinctly more northern cast, and to mark them, like the Dorians or Achaeans in Greece, as an early wave of the invaders who more than once in later history havevitally influenced the fortunes of the tempting southern land into which they forced their way.
Theism then has its most habitual affinities with intuitionalism, but may fall under any one of our philosophical or quasi philosophical types.
But in spite of this its materialistic affinities are unmistakable.
Spinoza: the Spinozistic affinities of Leibnitz are not so marked as Lotze's).
Certain other forms of doubtful affinities have also been referred provisionally to this section.
Thus the affinities of the hydranth are clearly, as Dendy points out, After Haeckel, System der Medusen, by permission of Gustav Fischer.
Since no graptolites are known living, or, indeed, since palaeozoic times, the interpretation of their structure and affinities must of necessity be extremely conjectural, and it is by no means certain that they are Hydrozoa at all.
Gunther, " On the Structure and Affinities of Mnestra parasites Krohn; with a revision of the Classification of the Cladonemidae," Mitt.
Such modified conditions have been termed apocentric. It is obvious that the mere apocentricity of a character can be no guide to the affinities of its possessor.
These are instances, now well understood, that almost every organic system, even when studied by itself, may yield valuable indications as to the natural affinities of the various groups of birds.
Our artificially-established classifications collapse whilst we gain further insight into the mutual affinities of the existing groups.
Much difference of opinion obtains as to the affinities of these birds, which were far larger than an ostrich; they were undoubtedly incapable of flight and there are indications of teeth in the upper jaw.
The character of this skull and the compound rhamphotheca (known by the imprints left upon the jaws) indicate affinities with the Steganopodes.
The main affinities of the avifauna are, of course, Australian.
For instance, the kagu (Rhinochetus) of New Caledonia, a queerly specialized form with Gruine affinities pointing only to South America.
It is not the quantity but the quality of the anatomical and bionomic characters which determines their taxonomic value, and a few fundamental characters are better indications of the affinities of given groups of birds than a great number of agreements if these can be shown to be cases of isomorphism or heterophyletic, convergent analogy.
The fresh-water fish seem in their affinities to be nearly allied to those of the Niger and the Nile.
He wrote for that work the Discours preliminaire on the rise, progress and affinities of the various sciences, which he read to the French Academy on the day of his admission as a member, the 18th of December 1754.
In the Urals the marine facies is more fully developed and the fauna shows affinities with that of the Productus limestone of the Central Asian mountain belt.
Provence about 360, but he spent the early part of his life in the monastery of Bethlehem with his friend Germanus, and his affinities were always Eastern rather than Western.
Both the fauna and flora of the higher levels present close affinities with those of Mount Elgon, of other mountains of East Africa and of Cameroon Mountain.
The religiosity of the Quakers, with their doctrines of the " inner light " and the influence of, the Spirit, has decided affinities with mysticism; and the autobiography of George Fox (1624-1691), the founder of the sect, proceeds throughout on the assumption of supernatural guidance.
The south-eastern parts of the Malay Archipelago have much in common with the Australian continent, to which they adjoin, though their affinities are chiefly Indian.
The language and writing of the Semites who, at an unknown period, settled in what is now Abyssinia, show affinities with those of South Arabia, and these Semites may have been immigrants into Africa from that region.
The resemblances between primitive Christianity and Buddhism appear to be coincidences, and though both early Greek philosophy and later Alexandrine ideas suggest Indian affinities, there is no clear connexion such as there is between certain aspects of Chinese thought and India.
The remaining groups are harder to define, with the exception of the (3) Capitelliformia, which are mud-living worms of an "oligochaetous" appearance, and with some affinities to that order.
This is equally true both of the pictographic and the linear Aegean systems. Its nearest affinities are with the "Asianic" scripts, preserved to us by Hittite, Cypriote and south-west Anatolian (Pamphylian, Lycian and Carian) inscriptions.
But neither are these affinities close enough to be of any practical aid in deciphering Aegean characters, nor is it by any means certain that there is parentage.
1 They speak the languages of the localities in which they are settled (Arabic or Persian), but the language of their sacred books is an Aramaic dialect, which has its closest affinities with that of the Babylonian Talmud, written in a peculiar character suggestive of the old Palmyrene.
The latter has established, for all the Palaeozoic insects, an order Palaeodictyoptera, there being a closer similarity between the fore-wings and the hind-wings than is to be seen in most living orders of Hexapoda, while affinities are shown to several of these orders - notably the Orthoptera, Ephemeroptera, Odonata and Hemiptera.
The affinities of the Hymenoptera afford another problem of much difficulty.
" Observations on the Natural Affinities that connect the Orders and Families of Birds," read before the Linnean Society of London in 1823, and afterwards published in its Transactions (xiv.
Claims a few words, though its scope is rather to show differences than affinities; but treatment of that kind is undoubtedly useful at times in indicating that alliances generally admitted are unnatural; and this is the case here, for, following Calvier's method, the author's researches prove the artificial character of some of its associations.
Huxley regarded the above scheme as nearly representing the affinities of the various Carinate groups - the great difficulty being to determine the relations to the rest of the Coccygomorphae, Psittacomorphae and Aegithognathae, which he indicated " only in the most doubtful and hypothetic fashion."
This feature seemed a reflection on the mendicant orders, and the idea of a community life without vows and not in isolation from everyday life, was looked upon as something new and strange, and even as bearing affinities to the Beghards and other sects, at that time causing trouble to both Church and state.
The common use of armorial bearings, and the practice of the tournament, may be Oriental in their origin; the latter has its affinities with the equestrian exercises of the Jerid, and the former, though of prehistoric antiquity, may have received a new impulse from contact with the Arabs.
Affinities.-The position of the Nemertines in the animal kingdom is now looked upon as more isolated than was formerly thought, and recent writers have been inclined to treat them as a separate phylum.
They first invented and named the alembic for the purposes of distillation, analyzed the substances of the three kingdoms of nature, tried the distinction and affinities of alkalis and acids, and converted the poisonous minerals into soft and salutary remedies.
2 The theory of Berthollet was essentially mechanical, and he attempted to prove that the course of a reaction depended not on affinities alone but also on the masses of the reacting components.
Compounds in which all the units of affinity of the contained elements are engaged are said to be saturated, whilst those in which the affinities of the contained elements are not all engaged by other elements are said to be unsaturated.
Stylasteridae), showing Affinities of the Hydrocorallinae.