This fruitful thought he illustrates by showing how geometry is applied to the action of natural bodies, and demonstrating by geometrical figures certain laws of physical forces.
The first exact experiments demonstrating the changes which occur in the permeability of iron,, 3 Phil.
Knowing that alum cannot be obtained in crystals without the addition of potash, he began to suspect that this alkali constituted an essential ingredient in the salt, and in 1797 he published a dissertation demonstrating that alum is a double salt, composed of sulphuric acid, alumina and potash (Annales de chimie, xxii.
The principal formation is coralline limestone; the eastern coast is defended by coral reefs, and the neighbouring sea (extending as far as New Guinea, and thus demonstrating a physical connexion with that land) is shallow, and abounds in coral in full growth.
- Diagram demonstrating that there are an indefinite number of combinations of various adaptive types of limbs and feet with various adaptive types of teeth, and that there is no fixed law of correlation between the two series of adaptations.
The helicopter ride was demonstrating the widespread erosion of the surrounding plains.
Vaughan Thompson, Zoological Researches (Cork, 1830); memoir iv., " On the Cirripedes or Barnacles, demonstrating their deceptive character."
Parliament had repeatedly expressed its disapproval of the Magyar demands upon the crown, but had succeeded only in demonstrating its own impotence.
Nothing is known of its natural history outside the body, but on cultivation it is apt to undergo numerous involution forms. Its presence in a patient is regarded as positive diagnostic proof of plague; but failure to find or to identify it does not possess an equal negative value, and should not be too readily accepted, for many instances are recorded in which expert observers have only succeeded in demonstrating its presence after repeated attempts.
Fru Schwartz (née Birat) wrote novels demonstrating the rights of the poor against the rich, of which The Man of Birth and the IVoman of the People (Eng.
To Lilienthal in Germany belongs the double credit of demonstrating the superiority of arched over flat surfaces, and of reducing gliding flight to regular practice.
There is in analytical geometry little occasion for any explicit use of line-co-ordinates; but the theory is very important; it serves to show that in demonstrating by point-co-ordinates any purely descriptive theorem whatever, we demonstrate the correlative theorem; that is, we do not demonstrate the one theorem, and then (as.
In this treatise, as in Paley's, we find " every man's own satisfaction, the spring that actuates all his motives," connected with " general good, the root whereout all our rules of conduct and sentiments of honour are to branch," by means of natural theology demonstrating the " unniggardly goodness of the author of nature."
- Diagram of Apparatus for there must be a reversible Demonstrating the Thomson Effect.
30 seq.), demonstrating that the character of the book we know is genuinely Arabian, and that it must have been written in Egypt at a comparatively recent date.
Having dismounted he went up to the Emperor with rapid strides and in a loud voice began boldly demonstrating the necessity of sending reinforcements.
Scholasticism aims, it is true, in its chief representatives, at demonstrating that the content of revelation and the teaching of reason are identical.
Von Hauer has investigated a number of cases in which salts exhibiting episomorphism have different colours, thereby clearly demonstrating this property of isomorphism.
An experiment was devised by Lord Kelvin for demonstrating this, in which the difference of steadiness was shown of a copper shell filled with liquid and spun gyroscopically, according as the shell was slightly oblate or prolate.
This was done in 1612 by Christoph Scheiner, who fully described his method of solar observation in the Rosa Ursina (1630), demonstrating very clearly and practically the advantages and disadvantages of using the camera, without a lens, with a single convex lens, and with a telescopic combination of convex object-glass and concave enlarging lens, the last arrangement being mounted with an adjustable screen or tablet on an equatorial stand.
It was these paradoxes that Kant sought to rebut by a more thoroughgoing criticism of the basis of knowledge the substance of which is summed up in his celebrated Refuta tion of Idealism,' wherein he sought to undermine Hume's scepticism by carrying it one step further and demonstrating that not only is all knowledge of self or object excluded, but the consciousness of any series of impressions and ideas is itself impossible except in relation to some external permanent and universally accepted world of objects.
New and unheard-of orders of amphibians, reptiles and mammals came to the surface of knowledge, revolutionizing thought, demonstrating the evolution theory, and solving some of the most important problems of descent.
Andresen (Heilbronn, 1879), that Taillefer went before the Norman army singing of Charlemagne and of Roland and the vassals who died at Roncevaux, has been considered important in demonstrating the existence of a comparatively early tradition and song of Roland.
On the eve of that council he published at Naples his Causa El onorii Papae, which aimed at demonstrating the moral and historical impossibility of papal infallibility.
It was he who drew up the reply to the malcontents on this occasion, for the first time demonstrating his many-sided ability and his genius for sustained hard work.
Varley had advanced tentatively the hypothesis that it consisted in an actual projection of electrified matter from the cathode, and Crookes was led by his researches in 1870, 1871 and 1872 to embrace and confirm this hypothesis in a modified form and announce the existence of a fourth state of matter, which he called radiant matter, demonstrating by many beautiful and convincing experiments that there was an actual projection of material substance of some kind possessing inertia from the surface of the cathode.
It was also the means at length of demonstrating the fact that South Africa, barren and poor on the surface, was rich below the surface.
It may be added that even bats are unable to cross large tracts of sea; and the fact that fruitbats of the genus Pteropus are found in Madagascar and the Seychelles, as well as in India, while they are absent from Africa, is held to be an important link in the chain of evidence demonstrating a former land-connexion between Madagascar and India.
One paper has Helen demonstrating problems in geometry by means of her playing blocks.
Fleischl for demonstrating circular polarization in liquids.