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Half-way between the apses lay the mean distance, and at this position the error was half the distance between the ellipse and the circle, amounting to .00429 of a radius. With these figures in his mind, Kepler looked up the greatest optical inequality of Mars, the angle between the straight lines from Mars to the Sun and to the centre of the circle.

The columns, the architrave below the dome, the arches of the apses and their vaults, are all of white marble covered with exquisite carved ornament partly gilt, while all the walls and the other vaults are lined with tiles, blue and yellow patterns on a white ground.

It was planned on a great scale; a vast dome in the centre surrounded by four equal apses, and by four square towers. It has never been finished, and now only rises to the level of the main cornice; but had the dome been built it would undoubtedly have been one of the very finest of the renaissance buildings in the country.

So full was this narthex of tombs that from the arms on them it had become a sort of Heralds' College for the whole of the north of Portugal, but now only two remain in the shallow renaissance porch between the towers. As at Paço de Souza, the oldest part of the church is the east end, where the two apses flanking the square chancel remain unaltered.

At about the same time some small and picturesque windows were inserted above the smaller apses on the east side of the transept, and rather later was built the chapel to the north-east of the nave, which is entered through a segmental arch whose jambs and head are well carved with early renaissance foliage and figures, and which contains the simple tomb of a bishop.

Jawed about apses and things." "And thereby," said Psmith, "hangs a tale. I've been making inquiries of a stout sportsman in a sort of Salvation Army uniform, whom I met in the grounds he's the school sergeant or something, quite a solid man and I hear that Comrade Outwood's an archaeological cove. Goes about the country beating up old ruins and fossils and things.

Carcassonne is a double city, a city on a hill and another on the plain, each ancient, but that below with the modern element leavening it, that above wholly steeped in mediaevalism. In the lower town are two fine churches, very peculiar in design, forming vast halls without pillars, and with small chancels and apses.

After Ptolemy had published his book there seemed to be nothing more to do for the solar system except to go on observing and finding more and more accurate values for the constants involved viz., the periods of revolution, the diameter of the deferent, and its ratio to that of the epicycle, the distance of the excentric from the centre of the deferent, and the position of the line of apses, besides the inclination and position of the plane of the planet's orbit.

From its ritualistic position, it is the culminating point of the church, and its discord with the Romanesque is unpleasantly insistent. The side aisles, which were built in the XVII century, are low, agreeable walks ending in the chapels of the smaller apses.

Sergeant Collard had waylaid the archaeological expert on his way to chapel, and informed him that at close on twelve the night before he had observed a youth, unidentified, attempting to get into his house via the water pipe. Mr. Outwood, whose thoughts were occupied with apses and plinths, not to mention cromlechs, at the time, thanked the sergeant with absent minded politeness and passed on.