The Aga Khan reciprocated the British commander's confidence and friendship by giving repeated proofs of his devotion and attachment to the British government, and when he finally settled down in India, his position as the leader of the large Ismailiah section of Mahommedan British subjects was recognized by the government, and the title of His Highness was conferred on him, with a large pension.
Napoleon, moreover, he regarded not as the scourge of Europe, but as the defender of civilization against the barbarism of the Slays; and in the famous interview between the two men at Erfurt the poet's admiration was reciprocated by the French conqueror.
These conditions may be exactly realized by a system of weights reciprocated by slotted bars, the crank shaft driving the slotted bars rotating uniformly.
He soon gained his commander's confidence, which he reciprocated with the most devoted attachment, and was entrusted with the delicate duties of a confidential secretary, which he performed with much tact and skill.
Meanwhile, in 1685 the British had acquired a footing in Benkulen, and between them and the Dutch there was always much jealousy and friction until in 1824 a treaty was made under which the British vacated Sumatra in favour of the Dutch, who reciprocated by giving up Malacca.
To Kid was reciprocated by that of the German squadron to Plymouth; in July a treaty of arbitration was signed between the two countries, while in the Reichstag the chancellor declared that, Germanys interests in Morocco being purely commercial, the understanding between France and England as to that country, embodied in the convention of the 8th of April 1904, did not immediately concern her.
When a weight is reciprocated, the equal and opposite force required for its acceleration at any instant appears as an unbalanced force on the frame of the machine to which the weight belongs.
In the particular case where the motion is of the kind known as simple harmonic the disturbing force on the frame due to the reciprocation of the weight is equal to the component of the centrifugal force in the line of stroke due to a weight equal to the reciprocated weight supposed concentrated at the crank pin.
The balance weights found as part of the equivalent revolving system when reciprocated by their respective crank pins form the balance weights for the given reciprocating system.
The prince reciprocated this antipathy, but it was overpowered by his contempt for her.
From 1847 to 1851 he arranged gifts from France to American libraries aggregating 30,655 volumes, and a gift of 50 volumes by the city of Paris in 1843 (reciprocated in 1849 with more than 1000 volumes contributed by private citizens) was the nucleus of the Boston public library.
Austria and Germany, however, scarcely reciprocated these dispositions.