It may be added that there are on the odd circuit three inflections, but on the even circuit no inflection; it hence also appears that from any point of the odd circuit there can be drawn to the odd circuit two tangents, and to the even circuit (if any) two tangents, but that from a point of the even circuit there cannot be drawn (either to the odd or the even circuit) any real tangent; consequently, in a simplex curve the number of tangents from any point is two; but in a complex curve the number is four, or none, - f our if the point is on the odd circuit, none if it is on the even circuit.
Nevertheless, it is on a false interpretation of this challenge that the dogma of the incomparable excellence of the style and diction of the Koran is based.
According to P. Bolley, the glands of the silkworm contain semi-liquid fibroin alone, and it is on exposure to the air that FIG.
The micas are bad conductors of heat and electricity, and it is on these properties that many of their technical applications depend.
The effects of the continent are already visible in the mean annual temperatures, in which the poleward temperature gradient is about twice as strong as it is on the neighboring oceans; this being a natural effect of the immobility of the land surface, in contrast to the circulatory movement of the ocean currents, which thus lessen the temperature differences due to latitude: on the continent such differences are developed in full force.
Mosul is the meetingpoint of roads from Aleppo, Diarbekr, Bitlis, north and west Persia and Bagdad; and it is on the projected line of railway from Constantinople to the Persian Gulf.
There are also indications that the extensive texts dealing with divination through the liver of sacrificial animals, which represents a more popular origin than divination through the observations of the heavens, based as it is on the primitive view which regarded the liver as the seat of life and of the soul, were brought into connexion with astral divination.
Jacques Bernoulli wrote elegant verses in Latin, German and French; but although these were held in high estimation in his own time, it is on his mathematical works that his fame now rests.
The king inquires into the state of things in 1066 because it is on that state of things that his rights of taxation depend.
The climate is cold in the eastern and central districts of Ain, but it is on the whole healthy, except in the Dombes.