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les, set close to each other in varied but not irregular relations, is thrown, like a necklace of precious stones, round the apse and along the ends of the aisles; each side of the apse taking, of course, as many triangles as its width permits. If the reader will look back to the measures of the sides of the apse, given before, p. 42, he will see that the first and seventh of the series, being much narrower than the rest, cannot take so many triangles in their band. Accordingly, they have only six each, while the other five sides have seven. Of these groups of seven triangles each, that used for the third and fifth sides of the apse is the uppermost in Plate III.; and that used for the centre of the apse, and of the whole series, is the lowermost in the same plate; _the piece of black and white marble being used to emphasize the centre of the chain_, exactly as a painter would use a dark touch for a similar purpose. Sec. XXII. And now, with a little trouble, we can set before the reader, at a glance, the arrangement of the groups along the entire extremity of the church. There are thirteen recesses, indicative of thirteen arches, seen in the ground plan, fig. 2, Plate I. Of these, the second and twelfth arches rise higher than the rest; so high as to break the decorated band; and the groups of triangles we have to enumerate are, therefore, only eleven in number; one above each of the eleven low arches. And of these eleven, the first and second, tenth and eleventh, are at the ends of the aisles; while the third to the ninth, inclusive, go round the apse. Thus, in the following table, the numerals indicate the place of each entire group (counting from the south to the north side of the church, or from left to right), and the letters indicate the species of triangle of which it is composed, as described in the list given above. 6. h. i. h. g. h. i. h. 5. b. c. a. d. a. c. b. 7. b. c. a. d. a. c. b. 4. b. a. b. c. a. e. a. 8. a. e. a. c. b. a. b. 3. b. a. b. e. b. a. 9. a. b. e. b. a. b. 2. a. b. c. 10. a. b. c. b. 1. a. b. c. b. a. 11. b. a. c. f. a. a. The central group is put first, that it may be seen how the series on the two sides of the apse answer each other. It was a very curious freak to insert the triangle e, in the outermost place _but one_ of both the f
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