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Now Southwick, legs astride and balancing himself against the gentle roll, flipped down one more shade of his quadrant because he found the sun bright, once again 'brought the sun down to the horizon', rocked the quadrant slightly to make sure that the lower edge of the sun was precisely on the horizon, made a slight adjustment and a moment later saw the sun had moved. He read the figures on the ivory scale of the quadrant. The ritual of the noon sight was, as far as the sun was concerned, now over: he had measured the highest angle that it made with the horizon, and that was that: only the angle mattered, not the time: if he had measured its highest angle, then that was the angle at noon local time, and he did not have to bother to turn a half-minute glass, bellow at Orsini to note the chronometer . . . Now he had to apply some corrections, add or subtract figures from the almanac, and the answer would be the Calypso's latitude. It was the simplest thing to do in celestial navigation; it was how the navigators from the oldest times crossed oceans - they knew the latitude of their destination and sailed along it until they arrived. The only danger was running into the land at night. Longitude was a different problem; without an accurate chronometer there was no way of being sure of one's exact distance east or west of the Greenwich meridian.

Young Orsini was working out his answer using the top of the binnacle box. Kenton and Martin were sitting on the breeches of guns. Southwick could see Mr Ramage walking up and down on the windward side of the quarterdeck, having his spell of exercise before his meal. And waiting to hear the latitude ... Normally Mr Ramage left the navigation to him, but for the last three days he had been taking a close interest. The reason was not hard to guess - the Calypso's latitude and longitude were almost the same as the figures they had been given for Trinidade.

In fact, according to Southwick's reckoning, they were within a hundred miles of it. Allowing for the chronometerbeing a bit out, he was sure that putting the point of a pair of compasses down on Trinidade and drawing a circle with a radius of fifty miles would enclose the Calypso, but therewas a high haze, so it was impossible to guess whether they could see ten miles or sixty.

This was always the difficult time when making a landfalclass="underline" did one set more canvas to increase speed in the hope of sighting land before nightfall, or go slowly and cautiously and hope to sight it at dawn? Martin Vaz should be on the larboard bow and Trinidade dead ahead. If one left Martin Vaz too far to larboard - thus making absolutely certain of not hitting it - there was a risk of passing Trinidade out of sight to larboard. The life of a master in the Royal Navy, Southwick thought to himself, could be summed up by that situation: trying to find one rock in the middle of an ocean without hitting another . . .

He wrote the final row of figures, 20° 01' 50". And that, he knew without looking it up, was within thirty miles of the latitude of Trinidade.

A cast of the log half an hour ago had given just over six knots and they were able to lay the course. By five o'clock they might be there; it should be in sight at the latest in an hour or two - if it was as high as reported and the chronometer was anywhere near passing for correct.

Southwick walked across the quarterdeck and reported to Ramage, who grimaced and nodded ahead. 'A thousand or fifteen hundred feet high? We should be seeing it by now.'

'It's hazier than it looks, sir,' Southwick said confidently. 'Had you given any thought about who might ...'

'All right, all right, pass the word through the bosun. Though why I should always pay up a guinea to the first man to sight such a place, I don't know!'

'It's the trickiest landfall we've ever made, sir. The Atlantic is 2,500 miles wide here, from Trinidade to the nearest tip of West Africa, and we're looking for somewhere two or three miles long.'

'That's a fine argument to impress old ladies,' Ramage said unsympathetically, 'and it'd impress me if I thought Trinidade could lie anywhere along that gap of 2,500 miles. But you have a quadrant, almanac, tables and a chronometer that allow you to be rather more precise.'

'Well, yes sir,' Southwick agreed and added with a grin, 'but I can't make it seem too easy!'

He walked back to the binnacle to inspect the calculations made by the two young lieutenants and midshipman.

He looked first at Orsini's slate and his brow furrowed. 'I can assure you, Mr Orsini, that the Calypso is about seven hundred and fifty miles from Rio de Janeiro; in other words, about four-fifths of the way across the South Atlantic between the Cape of Good Hope and South America, not far from the tropic of Capricorn. But you, Mr Orsini, seem to be not only north of the Equator, almost on the far side of the Torrid Zone, but close to the Cape Verde Islands, which the rest of us left thousands of miles away some weeks ago...'

Orsini, his face crimson, hurriedly rubbed out some writing on his slate and corrected it. 'The latitude is north, not south. I'm sorry, I mean, I should have named it south, not north.'

Southwick grumbled and picked up Martin's slate. He put it down again. 'Lieutenant Martin has made a mathematical discovery of note: three and two make four. Well, the rest of us will continue to struggle along with five. And Mr Kenton? Ah, the method of calculation is correct, but the original altitude is wrong. Check your sextant, Mr Kenton; I suspect you have knocked it and it now has an error.'

Ramage had listened to this daily routine for weeks and it varied little: Orsini made some enormous mistake that was due to lack of interest in mathematics; Martin made some silly mistake; and Kenton worked out the sight correctly but had been careless with his sextant. It was almost new, and one of the few sextants on board: Southwick and Aitken used quadrants.

Yet Southwick was right to keep nagging these young officers. One of them might be in command of a prize one day when war broke out again and responsible for navigating her thousands of miles to port, or even to a rendezvous at a place like Trinidade . . .

The lookout's hail came at exactly three o'clock in the afternoon; his shout was partly drowned as six bells was being struck.

There was, he called, what might be only a cloud on the horizon but it was a different shape from the trade wind clouds and seemed to be lying athwart their course.

An excited Orsini asked 'May I, sir?' and, when Ramage nodded, grabbed a telescope and raced up the shrouds, climbing the ratlines as fast as any topman.

He braced himself beside the lookout and glanced ahead as he pulled open the telescope. Low on the horizon there was something the colour of a fading bruise.

He held up the telescope, balancing against the Calypso's roll and focused his eye in the circle of glass. It was land. As the lookout had said, it was athwart the Calypso's course, probably lying northwest and southeast. Low at each end and rising towards the middle. There were some peaks in the centre of the island - he counted four which seemed the same height and a fifth quite a bit lower. It sounded like Trinidade, but where was Martin Vaz Rocks?

'Deck there!' he hailed. 'It's land lying across our course and I can distinguish five peaks in the centre part of the island.'

'How far?' Aitken shouted.

'Difficult to say, sir; there's nothing to use as a scale. Fifteen miles, I reckon; I think haze must have been hiding it, then the wind cleared it away.'