Your search within this document for 'rival' resulted in three matching pages.
1

“... of warfare, for boats to row backwards and forwards across the harbour during the hours of night, the sailors of the different ships in the dock, headed by one of their officers, taking it by turns to keep this watch ; and the sleeper might often be roused from his dreams as the deep-toned " All's well" resounded through the still night air. Lord Camelford and Lieutenant Peterson were, unhappily, at variance ; and, perhaps to mortify his rival, Lord Camelford ordered Mr. Peterson to take the watch upon the very evening that a gay ball was to be given at Black’s Point to the naval officers. Unfortunately Lieutenant Peterson entertained the idea that, as he was in command of the ship Perdrix, in the absence of Commodore Fahie, he was superior officer to Lord Camelford, who only commanded a sloop ; and, in consequence of this false impression, he positively refused to obey his lordship's orders. The disastrous evening approached, and the Lieutenant retired to his quarters...”
2

“... stands without a rival, not in the West Indies, only, but, I should think, throughout the whole island catalogue of the Atlantic and Pacific combined.”...”
3

“...362 POCKET GUIDE TO THE WEST INDIES The blacks, infuriated, renewed the struggle under General Dessalines. In 1803, on the approach of an English fleet, the French agreed to evacuate the island, and in 1804 independence was declared, and the aboriginal name of Haiti revived. Des- salines was made Governor for life, but later in the year he proclaimed himself Emperor. He was assassinated in 1806, and two rival chiefs, Cristophe and Pétion, established themselves in the north and south respectively; while the Spaniards took the eastern portion óf the island, which they called Santo Domingo. Pétion died in 1818, and, Cristophe having committed suicide in 1820, General Boyer became master of the whole of the western end of the island, and in 1822, taking advantage of dissension in the Spanish part, he invaded it and captured the whole of it. The entire island was then called Haiti, but in 1843 Boyer was driven out by a revolution, and in 1844 the people in the eastern part...”