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Well may the emblem of Hope, the armillary sphere, whereby they found their way across the ocean, be carved all round the parapet, over the door, and beside the west window with its wealth of knots and wreaths.

There was also an astronomical observatory containing armillary spheres, globes, solstitial and equatorial armils, astrolabes, parallactic rules, and other apparatus then in use, the graduation on the divided instruments being into degrees and sixths. On the floor of this observatory a meridian line was drawn.

When Matheus Fernandes began his work most of the seven surrounding chapels were finished except for their vaulting, but not all, as in two or three the outer moulding of the entrance arch is enriched by small crosses of the Order of Christ, and by armillary spheres carved in the hollow; while the whole building stood isolated and unconnected with the church.

At the top are long finials with more chains holding corals on which rest armillary spheres. The head of the window is formed of twisted masses, from which project downwards three large thistle heads. Above this is a great wreath of leaves, hung with two large loops of rope, and twisting up as a sort of cusped ogee trefoil to the royal arms and a large cross of the Order of Christ.

It is very probable that the Chaldeans may have made spheres, like the armillary sphere, for representing the poles of the heavens; and with rings to show the ecliptic and zodiac, as well as the equinoctial and solstitial colures; but we have no record. We only know that the tower of Belus, on an eminence, was their observatory.

The arms of the cross end in finials, as do the ogee projections; there is a shield on each side below the cross arms, another crowned and charged with the royal arms above the central shaft, and on one side of it the Cross of the Order of Christ, and on the other an armillary sphere.

At the sides two large twisted shafts standing on very elaborate bases end in twisted pinnacles. The round window is surrounded by large rope moulding, out of which grow two little arms, to support armillary spheres. Dom Manoel also built the cathedral at Elvas, but it has been very much pulled about. Only the nave in part at least and an earlier west tower survive.

Inside the vaulting of the apsidal chapels was first finished; all the vaults are elaborate, have well-moulded ribs, and bosses, some carved with crosses of the Order of Christ, some with armillary spheres, others with a cross and the words 'In hoc signo vinces, or with a sphere and the words 'Espera in Domino. Where Dom João II. was to be buried is a pelican vulning herself for that was his device and in that intended for his father Dom Affonso V. a 'rodisio' or mill-wheel.

In its simple form, the astrolabe was suspended in a vertical plane, and the stars were observed by bringing the sights on the movable diameter to bear upon them. Their altitude was then read off on the circle. Ultimately, the circle of the astrolabe, mounted with one of its diameters parallel to the earth's axis, became the armillary sphere, the precursor of our modern equatorial telescope.

With the aid of this, the shadow cast by the sun could be very accurately measured. It involves no new principle. Every perpendicular post or object of any kind placed in the sunlight casts a shadow from which the angles now in question could be roughly measured. The province of the armillary sphere was to make these measurements extremely accurate.