'So, I'd take it kindly if ye could jus' think about if you'd like to learn how to do the figurin' y'rself.'

Kydd sat back in disbelief. But he quickly responded: it was a great opportunity, not the slightest use in his position, but ... 'I'd like it main well, Mr Jarman,' he said, 'but how will I learn?'

Jarman eased into a smile. 'Don't ye worry — in the merchant service we has no truck wi' pie-arse-squared an' all that, no time!' He tapped the book of tables. 'It's all there — ye just takes y'r sights an' looks it up. I learned it all in a short whiles only.'

 

Farrell nodded approval when Jarman brought it up at seven bells. 'If you think it proper, Mr Jarman.' Therefore at noon, on the quarterdeck of Seaflower could be seen the amazing sight of the Captain, the master, the midshipman and Kydd preparing to take the noon altitude. Midshipman Cole as usual borrowed Farrell’s gleaming black and brass sextant, while Kydd gingerly took the worn octant wielded respectfully by Jarman.

Afterwards, the master, as was his duty, took Cole aside to examine his reckoning and drill him in the essentials. Kydd hovered to listen. 'Now, every point of half th' surface of the earth is projected fr'm the centre on to a tangent plane at some point, call'd its point o' contact — but th' plane o' the equator when projected fr'm the centre on to a tangent plane itself becomes a straight line . ..'

While the worried Cole tried to commit the words, Jarman turned to Kydd. 'Now, what we have there is a great circle. Nobody sails a great circle - we only steer straight or th' quartermaster-o'-the-watch would be vexed. What we really does is alter course a mort the same way once in a watch or so, an' that way we c'n approximate y'r circle.'

There was more, and unavoidably it needed books: Renzi took an immediate interest. 'To snatch meaning from the celestial orb — to gather intelligence of our mortal striving from heavenly bodies of unimaginable distance and splendour. Now that is in pursuit of a philosophy so sublime . . .'

 

With Hispaniola to larboard, they took a south-easterly slant across the width of the Caribbean, the trade winds comfortably abeam and, in accordance with Kydd's shaky workings shadowing the real ones, raised the island of St Lucia and its passage through to the open

Atlantic ocean. The Windward Island of Barbados lay beyond.

Kydd's shipmates accepted his privileged treatment with respect. He was one of their own, daring to reach for the one thing that set officers apart from seamen. It was a rare but not unknown thing for a foremast hand to take part in the noon reckoning, although in the usual way all officers' results were brought together for consensus while those of lesser beings were ignored.

The rule-of-thumb principles used in the real world, informed by Jarman's utilitarian merchant service experience, Kydd absorbed readily enough — it was really only the looking up of tables. What was more difficult was the bodily technique of using the heavy old octant to shoot the sun against the exuberance of Sea/lower's sea motion. A combination of tucking in the left elbow, lowering the body to make the legs a pair of damping springs and leaning into it, and Kydd soon had the sun neatly brought down to the horizon with a sure swing of the arm.

The underpinning of mathematics was beyond him, though. Renzi had the sense to refrain from pressing the issue. There would be time and more in the lazy dog-watches to make intellectual discoveries, and Kydd would benefit by the more relaxed explorations. Besides which, it was only the hapless Cole who was under pressure: he would take his qualifying examination for lieutenant within the year.

Off Cape Moule to the south of the island the boatswain shielded his eyes from the glare of the sun on the calm blue seas — the wind had dropped to a fluky zephyr. 'Have ye news of St Lucia, sir?' he asked.

The island changed hands with the regularity of a clock, and the green and brown slopes could now be hostile territory, around the point an enemy cruiser lurking.

Farrell grunted, swinging his glass in a wide sweep over the hummocky island, across the glittering sea of the passage to the massive dark grey island of St Vincent just fifteen miles to the south. 'I don't think it signifies,' he said finally. 'We will be past and gone shortly.'

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