He first studied theology at Giessen, but after the campaign of 1814, in which, like his brother August, he took part as a Hessian volunteer, began the study of jurisprudence, and in 1818 established himself as Privatdocent of civil law at Giessen.
Already at the universities he had proclaimed his Liberal sympathies as a member of the Burschenschaft, and he now threw himself into open opposition to the unconstitutional spirit of the Hessian government, an attitude which led to his dismissal from the state service in 1833.
For a short while he was at the head of the new Hessian administration; but his ambition was to share in the creation of a united Germany.
In 1864 he went as Hessian envoy to Vienna, retiring in 1872 when the post was abolished.
Paludosa), of divers fruits by Ceratitis capitata and species of Dacus, and of wheat and other crops by the Hessian-fly (Mayetiola destructor) and species of Oscinis, Chlorops, &c., is of very serious consequence.
American literature began as far back as 1788, when a report on the Hessian fly was issued by Sir Joseph Banks; in 1817 Say began his writings; while in 1856 Asa Fitch started his report on the " Noxious Insects of New York."
The best-known dipterous pests are the Hessian fly (Cecidosnyia destructor), the pear midge (Diplosis pyrivora), the fruit flies (Tephritis Tyroni of Queensland and Halterophora capitata or the Mediterranean fruit fly), the onion fly (Phorbia cepetorum), and numerous corn pests, such as the gout fly (Chloropstaeniopus) and the frit fly (Oscinis frit).
Hundreds of acres of wheat are lost annually in America by the ravages of the Hessian fly; the fruit flies of Australia and South Africa cause much loss to orange and citron growers, often making it necessary to cover the trees in muslin tents for protection.
Many reforms in ecclesiastical, educational, financial and administrative matters were introduced, and in general the grand-duchy may be said to have passed largely under the influence of Prussia, which, by an arrangement made in 1896, controls the Hessian railway system.
The Hessian (0 a 2 -al)xi + (a 0 a 3 -ala2)xlx2+ (a l a i - a2)x2.
In general for a form in n variables the Hessian is 3 2 f 3 2 f a2f ax i ax n ax 2 ax " ï¿½ï¿½ ' axn and there is a remarkable theorem which states that if H =o and n=2, 3, or 4 the original form can be exhibited as a form in I, 2, 3 variables respectively.
We find that Di must be equal to p x g x for then t x (p x) 3 +, u (g x) 3, Hence, if px, qx be the linear factors of the Hessian 64, the cubic can be put into the form A(p x) 3 +ï¿½(g x) 3 and immediately solved.
This method of solution fails when the discriminant R vanishes, for then the Hessian has equal roots, as also the cubic f.
The Hessian in that case is a factor of f, and Q is the third power of u2,...
The quartic has four equal roots, that is to say, is a perfect fourth power, when the Hessian vanishes identically; and conversely.
This can be verified by equating to zero the five coefficients of the Hessian (ab) 2 axb2.
Gordan has also shown that the vanishing of the Hessian of the binary n ic is the necessary and sufficient condition to ensure the form being a perfect n th power.
The quartic will have two pairs of equal roots, that is, will be a perfect square, if it and its Hessian merely differ by a numerical factor.
Denominator factors, that the complete system of the quadratic is composed of the form itself of degree order I, 2 shown by az 2, and of the Hessian of degree order 2, o shown by a2.
Again, for the cubic, we can find A3(z) - -a6z6 1 -az 3.1 -a 2 z 2.1 -a 3 z 3.1 -a4 where the ground forms are indicated by the denominator factors, viz.: these are the cubic itself of degree order I, 3; the Hessian of degree order 2, 2; the cubi-covariant G of degree order 3, 3, and the quartic invariant of degree order 4, o.
By the Prussian Rhine province and the Hessian province of Rhein-Hessen; on the E.
In other directions also the expansion has been rapid; the village of Bornheim was incorporated in Frankfort in 1877, the former Hessian town of Bockenheim in 1895, and the suburbs of Niederrad, Oberrad and Seckbach in 1900.
But at this critical moment the leading companies of the Hessian infantry arrived, re-established the equilibrium (though not before four Prussian batteries had been temporarily overrun by the enemy), and a most obstinate fight ensued.
A third of the leading brigade (British) was killed and wounded in the vain attempt to break through the strong defences of the village, and some French squadrons charged upon it as it retired; a colour was captured in the melee, but a Hessian brigade in second line drove back the cavalry and retook the colour.
The French army, similarly arrayed, but with a few battalions attached to the cavalry wings, was more heterogeneous than the German, being composed of French, Hessian, German mercenaries, and Liegeois.
He had just finished dressing for his ride, and wore a blue uniform, opening in front over a white waistcoat so long that it covered his rotund stomach, white leather breeches tightly fitting the fat thighs of his short legs, and Hessian boots.
Men in military uniforms and Hessian boots could be seen through the windows, laughing and walking through the rooms.
He wore a woman's loose gown of frieze, blue trousers, and large torn Hessian boots.
Jauntily shifting the position of his legs in their tight riding breeches, diffusing an odor of perfume, and admiring his partner, himself, and the fine outlines of his legs in their well-fitting Hessian boots, Nicholas told the blonde lady that he wished to run away with a certain lady here in Voronezh.