#### CHAPTER III: PROPORTIONS OF DORIC TEMPLES

1. SOME of the ancient architects said that the Doric order ought not to be used for temples, because faults and incongruities were caused by the laws of its symmetry. Arcesius and Pytheos said so, as well as Hermogenes. He, for instance, after getting together a supply of marble for the construction of a Doric temple, changed his mind and built an Ionic temple to Father Bacchus with the same materials. This is not because it is unlovely in appearance or origin or dignity of form, but because the arrangement of the triglyphs and metopes (lacunaria) is an embarrassment and inconvenience to the work. . For the triglyphs ought to be placed so as to correspond to the centres of the columns, and the metopes between the triglyphs ought to be as broad as they are high. But in violation of this rule, at the corner columns triglyphs are placed at the outside edges and not corresponding to the centre of the columns. Hence the metopes next to the corner columns do not come out perfectly square, but are too broad by half the width of a triglyph. Those who would make the metopes all alike, make the outermost intercolumniations narrower by half the width of a triglyph. But the result is faulty, whether it is attained by broader metopes or narrower intercolumniations. For this reason, the ancients appear to have avoided the scheme of the Doric order in their temples.

3. However, since our plan calls for it, we set it forth as we have received it from our teachers, so that if anybody cares to set to work with attention to these laws, he may find the proportions stated by which he can construct correct and faultless examples of temples in the Doric fashion. Let the front of a Doric temple, at the place where the columns are put up, be divided, if it is to be tetrastyle, into twenty-seven parts; if hexastyle, into forty-two. One of these parts will be the module (in Greek ἐμβάτης); and this module once fixed, all the parts of the work are adjusted by means of calculations based upon it.

4. The thickness of the columns will be two modules, and their height, including the capitals, fourteen. The height of a capital will be one module, and its breadth two and one sixth modules. Let the height of the capital be divided into three parts, of which one will form the abacus with its cymatium, the second the echinus with its annulets, and the third the necking. The diminution of the column should be the same as described for Ionic columns in the third book. The height of the architrave, including taenia and guttae, is one module, and of the taenia, one seventh of a module. The guttae, extending as wide as the triglyphs and beneath the taenia, should hang down for one sixth of a module, including their regula. The depth of the architrave on its under side should answer to the necking at the top of the column. Above

the architrave, the triglyphs and metopes are to be placed: the triglyphs one and one half modules high, and one module wide in front. They are to be arranged so that one is placed to correspond to the centre of each corner and intermediate column, and two over each intercolumniation except the middle intercolumniations of the front and rear porticoes, which have three each. The intervals in the middle being thus extended, a free passage will be afforded to those who would approach the statues of the gods.

5. The width of the triglyph should be divided into six parts, and five of these marked off in the middle by means of the rule, and two half parts at the right and left. Let one part, that in the centre, form a “femur” (in Greek μηρός). On each side of it are the channels, to be cut in to fit the tip of a carpenter's square, and in succession the other femora, one at the right and the other at the left of a channel. To the outsides are relegated the semichannels. The triglyphs having been thus arranged, let the metopes between the triglyphs be as high as they are wide, while at the outer corners there should be semimetopes inserted, with the width of half a module. In these ways all defects will be corrected, whether in metopes or intercolumniations or lacunaria, as all the arrangements have been made with uniformity.

6. The capitals of each triglyph are to measure one sixth of a module. Over the capitals of the triglyphs the corona is to be placed, with a projection of two thirds of a module, and having a Doric cymatium at the bottom and another at the top. So the corona with its cymatia is half a module in height. Set off on the under side of the corona, vertically over the triglyphs and over the middle of the metopes, are the viae in straight lines and the guttae arranged in rows, six guttae broad and three deep. The spaces left (due to the fact that the metopes are broader than the triglyphs) may be left unornamented or may have thunderbolts carved on them. Just at the edge of the corona a line should be cut in, called the scotia. All the other parts, such as tympana and the simae of the corona, are to be constructed as described above in the case of the Ionic order.

7. Such will be the scheme established for diastyle buildings. But if the building is to be systyle and monotriglyphic, let the front of the temple, if tetrastyle, be divided into nineteen and a half parts; if hexastyle, into twenty-nine and a half parts. One of these parts will form the module in accordance with which the adjustments are to be made as above described.

8. Thus, over each portion of the architrave two metopes and two triglyphs 1 will be placed; and, in addition, at the corners half a triglyph and besides a space large enough for a half triglyph. At the centre, vertically under the gable, there should be room for three triglyphs and three metopes, in order that the centre intercolumniation, by its greater width, may give ample room for people to enter the temple, and may lend an imposing effect to the view of the statues of the gods.

9. The columns should be fluted with twenty flutes. If these are to be left plane, only the twenty angles need be marked off. But if they are to be channelled out, the contour of the channelling may be determined thus: draw a square with sides equal in length to the breadth of the fluting, and centre a pair of compasses in the middle of this square. Then describe a circle with a circumference touching the angles of the square, and let the channellings have the contour of the segment formed by the circumference and the side of the square. The fluting of the Doric column will thus be finished in the style appropriate to it.

10. With regard to the enlargement to be made in the column at its middle, let the description given for Ionic columns in the third book be applied here also in the case of Doric. Since the external appearance of the Corinthian, Doric, and Ionic proportions has now been described, it is necessary next to explain the arrangements of the cella and the pronaos.

1 That is: two metopes with a triglyph between them, and half of the triglyph on either side.