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lowest grade of mammals furnished with claws, and completed the transition to the Ungulata.

Professor Owen observes that it would border upon the ridiculous to advocate the claims of the Mylodon to the quadrumanous order because its thorax was wide rather than deep, its muzzle broad and truncated, its pelvis expanded, the head of the radius round and apt for rotation, the inflection of the carpus and tarsus free, the long claws prehensile, and the diet exclusively vegetable. Yet the claims of the Megatherians to be associated with apes and lemurs are, he remarks, equal with those of the sloths.

The Megatherioids most probably, like the sloths, gave birth to a single and unusually large fœtus: in that particular they would coincide with the elephant and whale as much as with the ape. If their uterus was undivided, as in the sloths, they would agree with the Armadillos as well as the Quadrumanes. After other considerations of the probable condition of the brain, the dental system and structure, Professor Owen thus concludes his zoological summary :

The degradation of the armature of the jaws in this order produces, especially in the truly edentulous Ant-eaters, a resemblance to the class of birds in one of their bestmarked characters; and amongst the implacental Edentata we find the jaws themselves assuming the form of a duck's bill in the Ornithorhynchus.

It may be observed of the Sloths that they illustrate this affinity or tendency to the oviparous type by the supernumerary cervical vertebræ supporting false ribs, and by the convolution of the windpipe in the thorax, in the threetoed species; by the lacertine character of three and twenty pairs of ribs in the Unau; and by the single excrementory or cloacal outlet, by the low cerebral development, by the great tenacity of life and long-enduring irritability of the muscular fibre, in both species.* Most interesting, therefore, becomes the discovery that in one of the huge extinct Sloths another character, heretofore deemed peculiar to the class of birds, should have been repeated, viz. the bony confluence of the last dorsal and the lumbar vertebræ with the sacrum. All these indications of a transition to a lower class harmonise with the Cuvierian view of the zoological position of the Sloths, as members of one of the lowest and most aberrant orders of Mammalia; and all oppose themselves to the promotion of the Sloths to the Primates, and to their separation from the terrestrial Edentata, which afford in the Ant-eaters and Pangolins, the Echidna and Ornithorhynchus, so many additional retrograde steps towards the oviparous classes.

'It would be tedious to reiterate the special and gradational affinities of the Mylodon and its congeners to the different families of the Edentate order, since these have been so fully elucidated in the comparisons of the several parts of their skeletons. They establish the general conclusion that the existing arboreal and extinct terrestrial Sloths constitute a primary division or type of the order Bruta, or Edentata, equivalent to the tribe Loricata, or Armadillos, and to the true Edentata, or the Ant-eaters and Pangolins.

The teeth and jaws give the essential character, and govern the aliment of the new primary group, of which the name Phyllophaga, here proposed, indicates the characteristic and peculiar diet.

The characters of the tribe, of its families and genera, and of the extinct species especially noticed in the present Memoir, are given in the subjoined Synoptical Table.'

Conspectus

Family I. Tardigrada (Syn. Scansoria Bradypodida). Feet long, slender, the anterior more or less longer than the posterior; fore-feet di- or tri-dactyle, hind-feet tridac tyle; toes obvolute, falculate.

Zygomatic arch open. Tail very short.

Genus 1. Bradypus, Linn., Ill. (Syn. Acheus, F. Cuv.). Genus 2. Cholapus, Ill. (Syn. Bradypus, F. Cuv.). Family II. Gravigrada (Syn. Eradicatoria, Megatheriidæ).

Feet short, very strong, equal or subequal, fore-feet penta- or tetra-dactyle; one or two of the external toes unarmed, fit for support and progression; the rest falculate.

Zygomatic arch closed. Clavicies perfect. Tail moderate, stout, and acting as a fulcrum or prop. Genus 1. Megalonyx, Jefferson, Cuv. (Syn. Megatherium, Desm., Fisch.). 5-5?

Teeth

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subelliptical, the middle of the crown excavated, the margins slightly prominent. Fore-legs the longest: the tibia and fibula distinct: the heel-bone long, compressed, and deep: the falcular claws great and compressed.

Species. Meg. Jeffersoni, Cuv. (Syn. Megatherium Jeffersoni, Desm., Fisch.; Megalonyx laqueatus, Harlan*). Genus 2. Megatherium, Cuv. (Syn. Bradypus, Pander and D'Alton).

Teeth

5-5

4-4?" contiguous, tetragonal, the crown transversely sulcated. The fore-feet tetradactyle; the hindfeet tridactyle, the two external toes unarmed. The falcular claws great and diversiform; those of the middle toe greatest, and compressed. Femur with an entire (unimpressed) head; tibia concrete with the fibula at each extremity. Astragalus with the anterior face excavated above. Heel-bone long and thick. Species. Meg. Cuvieri, Desm. (Syn. Bradypus gigan teus, Pander and D'Alton).

Genus 3. Mylodon, Owen. Orycterotherium, Harlan‡). 5-5

Teeth

4

4

(Megalonyx, Harlant;

distinct, the anterior upper tooth subellip tical, moderately remote from the rest; the second ellip tical; the rest trigonal with the internal face longitudinally sulcated: the anterior lower tooth elliptical, the penulti mate tetragonal; the last, which is the greatest, bilobate.

Feet equal: fore-feet pentadactyle; hind-feet tetradactyle; the two external toes in both unarmed, the rest falculate: the falcular claws great, semiconical, and unequal.

Head of the femur impressed by the round ligament: tibia and fibula distinct: astragalus with the anterior face flattened above; heel-bone long and thick. Species 1. Myl. Darwinii, O.

The lower jaw with the symphysis longer and narrower ; the second molar subelliptical; the last bisulcate, the internal furrow angular.

Species 2. Myl. Harlani, O. (Megalonyx laqueatus, Harlan ; Orycterotherium Missouriense, Harlan.).

Lower jaw with a shorter and wider symphysis; second molar subquadrate; the last trisulcate, the internal furrow bi-angular.

Species 3. Myl. robustus, O.

Lower jaw with the symphysis shorter and wider; second molar subtrigonal; the last trisulcate, the internal furrow

rounded.

Of the families, genera, and species of the Leaf-eating Bruta.
Order Bruta, Linn., Fisch. (Edentata, Cuv.).
Teeth none; or wanting a neck and enamel.
Claws falculate, great, generally sheathed, bending | Lund§).

downwards.

Tribe Phyllophaga (Leaf-eaters).

Teeth few, composed of vascular dentine, hard dentine, and cement; the vascular dentine forming the great axis of the teeth.

A descending apophysis in the jugal bone. The acromion concrete with the caracoid process.

• Cor motum suum validissime retinebat, postquam exemptum erat è corpore, per semihorium:-Exempto corde cæterisque visceribus, multo post se movebat et pedes lente contrahebat sicut dormituriens solet.' Pison, Hist. Bras. p. 322, quoted by Buffon, who well observes, Par ces rapports, ce quadrupede se raproche non-seulement de la tortue, dont il a déjà la lenteur, mais encore des autres reptiles et de tous ceux qui n'ont pas un centre du sentiment unique et bien distinct.' (Loc. cit., p. 45.)

P. C., No. 1615.

Genus 4. Scelidotherium, Owen. (Syn. Megalonyx,

• Professor Owen remarks that the species is founded on fossils from BigBone Cave, Tenessee, described in the Medical and Physical Researches,

pp. 319-331. The author, he observes, does not prove the specific distinction of these remains from the Megalony Jeffersoni of Cuv.

+ Professor Owen refers to his genus Mylodon the lower jaw described by Dr. Harlan. loc. cit. pp. 334-335. It is erroneously, Professor Owen remarks, ascribed to Megalony's laqueatus, or Pleurodon of Harlan.

p. 109.

Proceedings of the American Philosophical Society,' vol. ii., No. xx.,

Professor Owen is in doubt whether the term Platyonyx, subsequently proposed by Dr. Lund, be really intended to apply to the animals of the genus Scelidotherium, seeing that the breadth of their claw-bones is equalled by the height and vastly exceeded by the length of the same: it would be very descriptive, the Professor says, of the broad ungual bones of the Glyptodon and its congeners. The term Platyonychus had already been applied by M. Ed wards to a genus of crabs,

VOL. XXV.--3 T

5-5 Teeth either contiguous or separated by equal 4-4' intervals; upper ones trigonal; the anterior of the lower ones trigonal, the second and third subcompressed, the external face longitudinally sulcated; the last the greatest and bilobate.

Unau. (De Blainville.)

Head of the femur impressed by the ligamentum teres; tibia and fibula distinct. Astragalus with two excavations

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Genus 6. Sphænodon, Lund.*

In the Unau the number of cervical vertebræ is seven : in the Three-toed Sloth, Bradypus tridactylus, the number is nine.

The close approximation of the Sloths to the Birds in many parts of their organization calls upon us here to notice a discovery which will make the year in which we write (1843) a very remarkable one in the zoological calendar; and before we enter into the particulars of that discovery, we will just illustrate the close approximation above referred to, by observing that if nothing but the broken gigantic pelvis of the bird hereinafter noticed were laid before even an experienced eye, it might fairly enough be taken on a superficial view to have belonged to the genus Mylodon, though a closer examination would detect certain minute characters which show that it could not have belonged to a quadruped.

In the article STRUTHIONIDE will be found Professor Owen's descriptions of the fragment of a femur said to have

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been found in New Zealand, laid before the Zoological Society of London in 1839. [Vol. xxiii., p. 147.].

ence in an inaccessible cavern on the side of a hill near the river Wairoa, and they showed me at the same time * Professor Owen thinks that both this genus and Calodon, Lund, are indiserves, are first developed in the form of hollow, obtuse cones, and do not assume the cylindrical form until worn down to the part which has acquired in the progress of growth the normal thickness; and this is afterwards maintained without appreciable alteration during the subsequent uninterrupted growth of the tooth. The compressed molars of the Scelidotherium, which, he remarks, It is about three years ago, on paying a visit to this doubtless follow the same law of development, would present in the young coast south of the East Cape, that the natives told me of animal the form of hollow wedges, and such he suspects to be the nature of those teeth which are figured by Dr. Lund in the above-cited Danish memoir some extraordinary monster, which they said was in exist-plate xvii., figs. 5-10, and on which he has founded his genus Sphenodem.

On the 17th of May, 1842, the Reverend William Williams wrote from Poverty Bay, New Zealand, to Dr. Buck-cated rather than satisfactorily established. The teeth of the Sloth, he obland, and his letter contained an extract from another, sent by way of Port Nicholson, in February of the same year.

some fragments of bone taken out of the beds of rivers, which they said belonged to this creature, to which they gave the name of Moa. When I came to reside in this neighbourhood I heard the same story a little enlarged; for it was said that this creature was still existing at the said hill, of which the name is Wakapunake, and that it is guarded by a reptile of the Lizard species, but I could not learn that any of the present generation had seen it. I still considered the whole as an idle fable, but offered a large reward to any who would catch me either the bird or its protector. At length a bone was brought from the river running at the foot of the hill, of large size, but the extremities were so much worn away, that I could not determine anything as to its proper relationship. About two months ago a single bone of smaller size was brought from a fresh-water stream in this bay, for which I gave a good payment, and this induced the natives to go in large numbers to turn up the mud at the banks and in the bed of the same rive, and soon a larger number of bones was brought of vous dimensions. On a comparison with the bones of a fowl, I immediately perceived that they belonged to a bird of gigantic size. The bones of which the greatest number have been brought are the three bones of the leg, a few toe-bones, and one claw, which is in size*, a few imperfect pelves, a few vertebræ of different dimensions, and one imperfect cranium, which is small. There are also a few broken pieces, which seem to be ribs. In the case now sent you will receive the largest specimens I have obtained, and also a few of smaller size. The length of the large bone of the leg is 2 feet 10 inches. I have a second case, which I shall send by another vessel, to make sure of your receiving them. If the bones are found to be of sufficient in terest, I leave it to your judgment to make what use of them you think proper. But if the duplicates reach you, perhaps one set may with propriety be deposited in our museum at Oxford. The following observations may not be devoid of interest :

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1st. None of these bones have been found on the dry land, but are all of them from the banks and beds of freshwater rivers, buried only a little distance in the mud. The largest number are from a small stream in Poverty Bay, but they are also found in a similar position at Waiapu, Tologa Bay, Wairoa, and at many inconsiderable streams, and all these streams are in immediate connection with hills of some altitude.

2nd. This bird was in existence here at no very distant time, though not in the memory of any of the inhabitants; for the bones are found in the beds of the present streams, and do not appear to have been brought into their present situation by the action of any violent rush of

waters.

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3rd. That they existed in considerable numbers. I have received perfect and imperfect bones of no less than thirty different birds.

4th. It may be inferred that this bird was long-lived, and that it was many years before it attained its full size. Out of a large number of bones, only one leg-bone, now sent, is of the size of 2 feet 10 inches; two others are 2 feet 6 inches, one of which I shall send hereafter; the rest are all of inconsiderable size.

5th. The greatest height of the bird was probably not less than 14 or 16 feet. The leg-bones now sent give the height of six feet from the root of the tail. I am told that the name given by the Malays to the Peacock is the same as that given by the natives to this bird. Within the last few days I have obtained a piece of information worthy of notice. Happening to speak to an American about these bones, he told me that the bird is still in existence in the neighbourhood of Cloudy Bay, in Cook's Straits. He said that the natives there had mentioned to an Englishman belonging to a whaling party that there was a bird of extraordinary size to be seen only at night, on the side of a hill near the place, and that he, with a native and a second Englishman, went to the spot; that after waiting some time they saw the creature at some little distance, which they describe as being about 14 or 16 feet high. One of the men proposed to go nearer and shoot, but his companion was so exceedingly terrified, or perhaps both

of them, that they were satisfied with looking at him, when, in a little time, he took the alarm, and strode off up the sides of the mountain.

This incident might not have been worth mentioning, had it not been for the extraordinary agreement in point of the size of the bird. Here are the bones which will satisfy you that such a bird has been in existence, and there is said to be the living bird, the supposed size of which, given by an independent witness, precisely agrees. Should I obtain anything more perfect, you will not fail to hear from me, and in the mean time may I request the favour of your opinion upon these bones, and also the information whether any others of similar character have been found elsewhere. I beg to remain, dear Sir, your obedient servant, W. W.

On the 10th of January, 1843, Professor Owen read before a meeting of the Zoological Society of London a paper in which he stated, that since the communication of the Rev. Mr. Cotton* relative to the remains of the gigantic bird of New Zealand which had been collected in the North Island, by the Rev. Wm. Williams, one of the boxes of the remains transmitted by that gentleman to Professor Buckland had been received, and that the specimens had been liberally placed in his hands for description.

-Professor Owen remarks, that an entire femur, somewhat larger than that of which the shaft (the fragment above alluded to) is described and figured in the Society's Transactions (vol. iii., p. 32, pl. 3), proves the specific identity of the remains so sent with that fragment, upon which he had ventured to affirm three years ago, that a large Struthious Bird, of a heavier and more sluggish species than the Ostrich,' had recently become extinct, if it were not still living in New Zealand.

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The femur, he observes, has very nearly the same proportions of thickness to length as in the Ostrich, but the shaft is less compressed; it consequently differs from that of the Apteryx in being shorter in proportion to its thickness; but it resembles the femur of the Apteryx, and differs from that of the Ostrich and Emeu in the important character of the absence of the air-hole at the back part of the neck, and the consequent substitution of marrow for air in the interior of the bone. It differs from the femur of the Ostrich and agrees with that of the Apteryx in the greater width of the anterior of the condyles. It differs from that of the Apteryx, not only in the general proportions, but also in the form of the distal extremity, which has a deeper posterior intercondyloid depression, and a sharper and more produced posterior part of the outer condyle.

Professor Owen states that the length of the femur of the great bird compared is 11 inches, the circumference of the middle of the shaft 5 inches; but he adds, that the collection transmitted by Mr. Williams includes the shaft of a femur of another individual having a circumference of 7 inches.

The most perfect tibia in the collection under consideration measured 2 feet 4 inches, and apparently corresponded in proportion with the fragment of the largest femur: allowing, then, that femur 14 inches of entire length, the tibia is twice the length of the femur, while in the Apteryx the tibia is only one-third longer than the

femur.

The larger Struthionidæ, the Ostrich and Emeu for example, more nearly resemble the great New Zealand bird, Professor Owen remarks, in the length of their tibia, but it is not quite twice the length of the femur in those species The tibia of the great New Zealand bird differs, he observes, from that of the Apteryx and all the large Struthionida in the complete osseous canal for the passage of an extensor tendon in the anterior concavity above the distal condyles. This osseous canal is commonly found in the tibia of the Gralla, Gallina, and Anseres. Professor Owen found the proportion of length to thickness of the tibia to be nearly the same in the Ostrich and the great New Zealand bird: the circnmference of the tibia at its proximal end in the latter was 15 inches, at its middle 5 inches.

But the most instructive bone in the box sent upon the present occasion was a tarso-metatarsal bone, showing that the gigantic bird was tridactyle, like the Emeu, Rhea, and Cassowary. The remains of the proximal end of the bone proved it to have been articulated with a tibia about an eighth part shorter than that above described, that is,

* This letter corroborates the statements of the Rev. W. Williams.

to a tibia about two feet in length. The length of this tarso-metatarsal bone is one foot, or, as Professor Owen remarks, half the length of the tibia; and this is exactly the proportion which the tarso-metatarsal bone of the Apteryx bears to the tibia. The tarso-metatarsal bone in the Emeu is as long as the tibia: in the Ostrich it is a little shorter.

Professor Owen gives the following comparative admeasurements, showing the difference in the proportions of the tarso-metatarsal bone of the gigantic bird of New Zealand and of the Emeu:

Length

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Dinornis. In. Lin. 12 4 5 3 10

Dromaius. In. Lin. 14 6 2 8 2 10

Circumference of the middle Breadth of the distal end and he observes, that the comparative shortness and strength of the trifid metatarsal of the gigantic New Zealand bird forms its most striking resemblance to the Apteryx, which it thus approximates more closely than any of the large existing Struthionidæ.

The Professor then goes on to remark, that the proportions of the leg bones, and their denser texture, especially that of the femur, which, as in the Apteryx, contains no air, sufficiently indicate the generic distinction of the great New Zealand bird from the tridactyle Emeu, Rhea, and Cassowary. Then the question arises, is it, likewise, generically distinct from the Apteryx, or is it a gigantic species of that genus? This question he shows to be determined by the tarso-metatarsal bone. The Apteryx, he observes, is distinguished from the other Struthionidæ, not more by its elongated bill, than by the presence of a fourth small toe on the inner and back part of the foot, articulated to a slightly elevated rough surface of the tarso-metatarsal bone, about a fourth of the length of that bone from its distal end. Now there is no trace of the articular surface in the tarso-metatarsal of the gigantic bird, which was consequently tridactyle, as in the Emeu, Rhea, and Cassowary. The Dodo was tetradactyle, like the Apteryx: the shorter proportions of the legs of the Dodo also distinguished it from the gigantic bird, whose career, Professor Owen remarks, in the North Island of New Zealand seems to have been closed at a period apparently corresponding with the extinction of the Dodo in the island of Rodriguez. The results of the foregoing comparisons justify the reference of the Great Bird of New Zealand to a distinct genus of the Struthious family, for which Professor Owen proposes the name of Dinornis, with the specific appellation Nova Zealandiæ.

In conclusion, Professor Owen observes that the extraordinary size of the tibia above described, and, still more, that of the tibia, said to measure 2 feet 10 inches in length, obtained by Mr. Williams, prove the Dinornis of New Zealand to be the most gigantic of known birds: there is, he remarks, extremely little probability that it will ever be found, whether living or extinct, in any other part of the world than the islands of New Zealand or parts adjacent. At all events, he considers that the Dinornis Nova Zealandic will always remain one of the most extraordinary of the zoological facts in the history of those islands; and he thinks, most correctly in our opinion, that it may not be saying too much to characterise it as one of the most remarkable acquisitions to zoology in general which the present century has produced. (Zool. Proc.)

It is impossible to look at these colossal remains without acknowledging that there is some excuse for the fright of the adventurers who allege that they saw this feathered Goliath in the flesh. The bones are massive: far stouter and broader than those of the other tridactylous Struthionidæ, much stouter and broader, more mammalian, so to speak, than in the Apteryx;* and the bulk of the bird must have been great. The femur of the Irish giant O'Byrne O'Brian, as he was commonly called, whose skeleton, now in the museum of the College of Surgeons, is eight feet high-is not quite two feet in length: the longest tibia now sent is four inches and a half longer at least, and we have evidence of a tibia measuring two feet ten inches in length. Nor is it by any means clear that the bones already found are the largest in existence. The variety in size of the remains already sent quite bear out the judicious remarks of Mr. Williams, and it is difficult to deter

Professor Owen pointed out to us the strong resemblance of the pelvis of Dinornis to that of the Bustard.

mine what limit there was to the growth of Dinornis Nova Zealandiæ. The comparatively small bones now sent give a height of about fourteen feet.

It is curious and instructive, with these wonderful bones before one, to look back to Professor Owen's description of the fragment of bone which first came under his notice, and to read the deductions which he drew from it. Entirely in the dark, with the exception of the glimmering light which he extracted from that fragment (the mere shaft of the bone, be it remembered), every word that he then wrote has come true to the letter. Long ago he showed us the outline, which he had drawn, of what the ends of this fragment of a femur ought to be; and it is but just to this acute and deep-thinking physiologist to say that if the drawing had been made from the perfect bone it could hardly have been more accurate.

We have remarked that this is instructive; and we think it will not be denied that it shows what may be done in the way of arriving at the structure of an entire animal from a single bone or even the fragment of a bone, notwithstanding the doubts expressed by certain modern French physiologists as to the value of the method of Cuvier and the use of it by his followers. Let us not be misunderstood: it is an instrument not to be wielded by every hand. He who would apply it with any success must have vast experience in all the phases of organic forms and a powerfully comprehensive mind. But because this instrument has been misapplied by the feeble, it is not to be deemed valueless.

Nor is this all. Upon comparing the largest known fossil footstep of a bird with the comparatively small bones belonging to the gigantic bird of New Zealand now in this country, it was not a jot too large to have been impressed by the tridactylous toes of Dinornis. What a chapter this opens in the book of ORNITHICHNITES!*

UNCA'RIA, a genus of plants of the natural family of Rubiaceæ, so named by Schreber from uncus, a hook, the old or inferior sterile peduncles being converted into hooked axillary spines. Being closely allied, Uncaria is sometimes considered only a subgenus of Nauclea. The flowers are aggregate, on a globular receptacle. Calyx tubularly urceolate, 5-cleft. Corol funnel-shaped, with a slender tube and naked throat. Stamens 5. Ovary 2-celled. Capsules pedicellate, clavate, attenuated at the base. Seeds imbricated, winged. Embryo inverse and furnished with a perisperm. The species are chiefly natives of India, but a few are found in America. They are permanent cirrhiferous ramblers, hanging to different trees by the hooked old peduncles. economical uses, to require a detailed notice. This is the One is sufficiently remarkable, from its Gambier plant, Uncaria Gambier of Roxburgh, a native of Penang, Sumatra, Malacca, &c., from which the substance called Gambier by the Malays is prepared, and which is known in commerce by the names of Terra japonica and Catechu.

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This plant was first described by Rumphius, Herb. Amb.,' v., p. 63, t. 34, f. 2 and 3, by the name of Funis uncatus angustifolius,' but the process of preparing the extract was first fully described by Dr. C. Campbell, one of the early medical officers of the station of Bencoolen, who paid considerable attention to the useful plants of the neighbourhood. He states that it is chewed by the Malays mingled with betel-leaf and areca-nut in the same way that catechu is used on the continent of India, and was solicitous that a trial should be made of its power in tanning. The preparation he describes as simple: the young shoot and leaves are shred and bruised in water for some hours, until a feculum is deposited: this, inspissated in the sun to the consistence of a paste, is thrown into moulds of a circular form, and in this state the gambier is brought to market.' In this mode Dr. C. saw it prepared in his journey to CochinChina, at a small village where the sultan of Moco had established a colony for carrying on the manufacture to a considerable extent. Dr. Roxburgh states that 'in other parts to the eastward of the Bay of Bengal he learned that the process is carried on by boiling the leaves and young shoots; evaporating the decoction by fire and the heat of the sun. When sufficiently inspissated, it is spread out thin, and cut into little square cakes and dried.' Marsden says (Hist. of Sumatra, p. 243), that gambier is a substance

Mr. Lyell has just read to the Geological Society of London a most in teresting paper on these fossil footsteps from materials collected by him in America. Dr. Mantell has also called attention to some from the Weald.

tions, let it be imagined that a particle of a luminous body, as the sun or the flame of a candle, is in any state of vibration at a given moment, and that it causes vibrations in the particles of an elastic ethereal medium about it: also, for simplicity, let it be supposed (the density of the medium being uniform) that the latter particles perform their vibrations to and fro in equal times, within very short and equal distances, on each side of the points at which they would be at rest if the ether were undisturbed, and in the directions of radii from the luminous particle ; so that, in the time that any particle performs one vibra

prepared from the leaves of a tree of that name, by boiling |
their juices to a consistence, and making it up into little balls
or squares. It may be procured at ten dollars per cwt. He
refers for a particular detail of the cultivation and manu-
facture to the 2nd vol. of the Trans.' of the Batavian So-
ciety. Mr. Hunter (Linn. Trans., ix., p. 220) says, that in
Prince of Wales Island the substance is prepared by boil-
ing the leaves for an hour and a half, adding more water
as the first wastes, till towards the end of the process,
when it is inspissated to the consistence of thin syrup, and
when taken off the fire and allowed to cool it becomes
solid. It is then cut into little square pieces, which are dried
in the sun, and turned frequently. Mr. Bennett, in his
"Wanderings,' has given a very detailed account of the mode
of preparing the cubical variety at Singapore. The leaves
are plucked from the prunings, and boiled in a cauldron of
bark with an iron bottom. The decoction is evaporated
to the consistence of a very thick extract, of a light
brownish colour, like clay, which is placed in oblong
moulds. It is then divided into squares and dried in the
sun on raised platforms. The finest varieties are usually
retained for chewing; the browner and more strong-tasted
are exported to China, &c., and to Europe. The best is
made in the Isle of Bintong, the next best in Lingin. In
the year 1839 no less than 5213 tons were imported into
this country, chiefly for the use of tanners, being power-
fully astringent, as it contains from 36 to 40 per cent. of

tannin.

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U'NCIA, the twelfth part of the As. The mathematicians of the seventeenth century frequently used this word to signify the numerical coefficient of an algebraical letter. Thus Halley (Phil. Trans., No. 216) talks of that admirable invention of Mr. Newton, whereby he determines the Unciæ, or numbers prefixed to the members composing powers,' meaning to speak of what we should now call the numerical coefficients, which enter in any particular case of the binomial theorem.

UNCITES, a fossil genus of Brachiopoda, proposed by Defrance for a shell found in the transition' limestone of Paffrath and Gerolstein. It is united by Von Buch with Gypidium of Dalman (supposed to be equivalent to Pentamerus of Sowerby), as a subdivision of Terebratula. Brown, adopting the genus, figures the shell as Uncites Gryphus (Lithæa Geognost.,' pl. 2, f. 6).

UNDE'CAGON, a figure of eleven sides.
UNDERWRITERS. [SHIPS.]

UNDETERMINED (Mathematics), not known, as distinguished from indeterminate, which cannot be known. Thus, 'What numbers are those whose sum is 100?' is indeterminate: many numbers will satisfy the condition, but the problem contains no mode of distinguishing the answer which is wanted, or of giving a preference to one answer over another. But an undetermined quantity may be determinate, or capable of being determined. There is, however, frequently a want of proper distinction in the use of these words. [INDETERMINATE.]

UNDULATORY THEORY OF LIGHT, a theory in which it is attempted to explain the phenomena of light by the supposed vibrations of an ethereal medium.

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tion to or fro, a certain number of the particles, instead of
remaining at equal distances, as in the line ac, will have
disposed themselves in the manner shown between the
points a' and b', b' and c', and so on. Now, the motions
of the ethereal particles in all the radiating lines being
supposed equal, the particles which are in the surface of
an imaginary sphere having the luminous particle for a
centre, will be in like positions or like states of condensa-
tion with respect to those which are within and beyond
that surface; and the shell, or interval (=a'b', b'c', &c.)
between the two nearest surfaces at which the particles
are in like states, is called the length of a wave, or undula-
tion: let this be represented by λ. Then, if T be the time
in which any ethereal particle performs one vibration to
or fro, and V be the velocity of light (which from astro-
nomical observations is about 192,000 miles per second),
we have VT = λ. If V be expressed in inches, A will be
a very
small fraction of an inch;
will express the num-
ī
ber of undulations a'b' in one inch, and this being multi-
tipled by V in inches will give o or the number of undu-
lations which are supposed to be made in one second, or
the number of times in which, during one second, an ethe-
real particle makes a vibration to or fro. As the impulse
communicated by the luminous particle continues, the
waves advance with the velocity V, their radii increasing
in length; so that if the origin of the light is in a celestial
body, the surface of the wave at the earth may be con-
sidered as a plane.

When the waves from a luminous point arrive at or near any surface which may arrest or change the rate of their progress, every point in such surface is conceived to become the centre from whence, as if it were a new luminous point, proceeds another series of concentric spherical waves, the length remaining the same as before if the from the different points of an object by which the original ethereal medium is the same. The waves thus proceeding wave was arrested interfere with one another, but a plane, or curve surface, as m n, m' n', &c., which is a tangent to

m'

m

n

the surfaces of the secondary waves at points where the particles are in like states, or phases, is to be considered as the front of a wave.

Descartes is considered as the first who entertained the opinion that vision might be so explained; but that philosopher only states that light may be a certain movement or action of the molecules of air and other pellucid substances. He supposes that the effects may be instantaneously transmitted to the eye; and he compares the apprehension of external objects by vision to that which a blind man obtains when, holding a staff at one of its extremities in the hand, the opposite extremity comes in con- The secondary waves thus arising may be either retact with an obstacle. (Dioptrices,' cap. 1.) Malle-flected back from the surface of the medium on which the branche appears to have conceived that there existed an original wave is incident, or they may be transmitted analogy between the phenomena of sound and those of through that medium: in the latter case they are suplight; ascribing the former to vibratory movements of the posed to be produced either by vibrations immediately particles of air, and the latter to the like movements of the communicated to the ethereal matter within the medium, particles of an ethereal medium between the luminous or to this matter through vibrations excited in the parbody and the eye. But Huyghens (Tractatus de Lumine) ticles of the medium itself: but the velocity of the transboth advanced the undulatory hypothesis and explained mitted waves is supposed to be different from that of the by it the principal circumstances relating to the reflexion incident waves when the density or elasticity of the refractand refraction of light. The hypothesis has since been ing medium differs from that in which the rays moved adopted by many distinguished mathematicians, both in previously to their incidence. this country and on the Continent, among whom may be mentioned Euler, Dr. Young, MM. Fresnel and Poisson, Sir John Herschel, and Mr. Airy.

In order to understand the mechanism of the undula

The number of vibrations to or fro which an ethereal particle makes in a given time is supposed to determine the colours of natural bodies: but V is constant, since it depends on the homogeneity and uniform elasticity of the

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