On Architecture

4. On the contrary, those that are nearest to the southern half of the axis, and that lie directly under the sun's course, are of lower stature, with a swarthy complexion, hair curling, black eyes, strong legs, and but little blood on account of the force of the sun. Hence, too, this poverty of blood makes them over-timid to stand up against the sword, but great heat and fevers they can endure without timidity, because their frames are bred up in the raging heat. Hence, men that are born in the north are rendered over-timid and weak by fever, but their wealth of blood enables them to stand up against the sword without timidity.

5. The pitch of the voice is likewise different and varying in quality with different nations, for the following reasons. The terminating points east and west on the level of the earth, where the upper and lower parts of the heaven are divided, seem to lie in a naturally balanced circle which mathematicians call the Horizon. Keeping this idea definitely in mind, if we imagine a line drawn from the northern side of the circumference (N) to the side which lies above the southern half of the axis (S), and from here another line obliquely up to the pivot at the summit, beyond the stars composing the Great Bear (the pole star P), we shall doubtless see that we have in the heaven a triangular figure like that the musical instrument which the Greeks call the “sambuca.”

6. And so, under the space which is nearest to the pivot at the bottom, off the southern portions of the line of the axis, are found nations that on account of the slight altitude of the heaven above them, have shrill and very high-pitched voices, like the string nearest to the angle in the musical instrument. Next in order come other nations as far as the middle of Greece, with lower elevations of the voice; and from this middle point they go on in regular order up to the extreme north,where, under high altitudes, the vocal utterance of the inhabitants is, under natural laws, produced in heavier tones. Thus it is obvious that the system of the universe as a whole is, on account of the inclination of the heaven, composed in a most perfect harmony through the temporary power of the sun.

7. The nations, therefore, that lie midway between the pivots at the southern and the northern extremities of the axis, converse in a voice of middle pitch, like the notes in the middle of a musical scale; but, as we proceed towards the north, the distances to the heaven become greater, and so the nations there, whose vocal utterance is reduced by the moisture to the “hypatès” and to “proslambanomenon,” are naturally obliged to speak in heavier tones. In the same way, as we proceed from the middle point to the south, the voices of the nations there correspond in extreme height of pitch and in shrillness to the “paranetès” and “netès”

8. That it is a fact that things are made heavier from being in places naturally moist, and higher pitched from places that are hot, may be proved from the following experiment. Take two cups which have been baked in the same oven for an equal time, which are of equal weight, and which give the same note when struck. Dip one of them into water and, after taking it out of both. This done, there will be a great difference in their notes, and the cups can no longer be equal in weight. Thus it is with men: though born in the same general form and under the same all-embracing heaven, yet in some of them, on account of the heat in their country, the voice strikes

9. Further, it is owing to the rarity of the atmosphere that southern nations, with their keen intelligence due to the heat, are very free and swift in the devising of schemes, while northern nations, being enveloped in a dense atmosphere, and chilled by moisture from the obstructing air, have but a sluggish intelligence. That this is so, we may see from the case of snakes. Their movements are most active in hot weather, when they have got rid of the chill due to moisture, whereas at the winter solstice, and in winter weather, they are chilled by the change of temperature, and rendered torpid and motionless. It is therefore no wonder that man's intelligence is made keener by warm air and duller by cold.

10. But although southern nations have the keenest wits, and are infinitely clever in forming schemes, yet the moment it comes to displaying valour, they succumb because all manliness of spirit is sucked out of them by the sun. On the other hand, men born in cold countries are indeed readier to meet the shock of arms with great courage and without timidity, but their wits are so slow that they will rush to the charge inconsiderately and inexpertly, thus defeating their own devices. Such being nature's arrangement of the universe, and all these nations being allotted temperaments which are lacking in due moderation, the truly perfect territory, situated under the middle of the heaven, and having on each side the entire extent of the world and its countries, is that which is occupied by the Roman people.

11. In fact, the races of Italy are the most perfectly constituted in both respects—in bodily form and in mental activity to correspond to their valour. Exactly as the planet Jupiter is itself temperate, its course lying midway between Mars, which is very hot, and Saturn, which is very cold, so Italy, lying between the north and the south, is a combination of what is found on each side, and her preeminence is well regulated and indisputable. And so by her wisdom she breaks the courageous onsets of the

12. Now if it is a fact that countries differ from one another, and are of various classes according to climate, so that the very nations born therein naturally differ in mental and physical conformation and qualities, we cannot hesitate to make our houses suitable in plan to the peculiarities of nations and races, since we have the expert guidance of nature herself ready to our hand. I have now set forth the peculiar characteristics of localities, so far as I could note them, in the most summary way, and have stated how we ought to make our houses conform to the physical qualities of nations, with due regard to the course of the sun and to climate. Next I shall treat the symmetrical proportions of the different styles of houses, both as wholes and in their separate parts.

1. THERE is nothing to which an architect should devote more thought than to the exact proportions of his building with reference to a certain part selected as the standard. After the standard of symmetry has been determined, and the proportionate dimensions adjusted by calculations, it is next the part of wisdom to consider the nature of the site, or questions of use or beauty, and modify the plan by diminutions or additions in such a manner that these diminutions or additions in the symmetrical relations may be seen to be made on correct principles, and without detracting at all from the effect.

2. The look of a building when seen close at hand is one thing, on a height it is another, not the same in an enclosed place, still

3. Now whether this appearance is due to the impact of the images, or to the effusion of the rays from the eye, as the physicists hold, in either case it is obvious that the vision may lead us to false impressions.

4. Since, therefore, the reality may have a false appearance, and since things are sometimes represented by the eyes as other than they are, I think it certain that diminutions or additions should be made to suit the nature or needs of the site, but in such fashion that the buildings lose nothing thereby. These results, however, are also attainable by flashes of genius, and not only by mere science.

5. Hence, the first thing to settle is the standard of symmetry, from which we need not hesitate to vary. Then, lay out the ground lines of the length and breadth of the work proposed, and when once we have determined its size, let the construction follow this with due regard to beauty of proportion, so that the beholder may feel no doubt of the eurythmy of its effect. I must now tell how this may be brought about, and first I will speak of the proper construction of a cavaedium.

1. THERE are five different styles of cavaedium, termed according to their construction as follows: Tuscan, Corinthian, tetrastyle, displuviate, and testudinate.

In the Tuscan, the girders that cross the breadth of the atrium have crossbeams on them, and valleys sloping in and running from the angles of the walls to the angles formed by the beams, and the rainwater falls down along the rafters to the roof-opening (compluvium) in the middle. In the Corinthian, the girders and roof-opening are constructed on these same principles, but the girders run in from the side walls, and are supported all round on columns. In the tetrastyle, the girders are supported at the angles by columns, an arrangement which relieves and strengthens the girders; for thus they have themselves no great span to support, and they are not loaded down by the crossbeams.

2. In the displuviate, there are beams which slope outwards, supporting the roof and throwing the rainwater off. This style is suitable chiefly in winter residences, for its roof-opening, being high up, is not an obstruction to the light of the dining rooms. It is, however, very troublesome to keep in repair, because the pipes, which are intended to hold the water that comes dripping down the walls all round, cannot take it quickly enough as it runs down from the channels, but get too full and run over, thus spoiling the walls of style. The testudinate is employed where the span is not great, and where large rooms are provided in stories.

3. In width and length, atriums are designed according to three classes. The first is laid out by dividing the length into five parts and giving three parts to the width; the second, by dividing it into three parts and assigning two parts to the width; the third, by using the width to describe a square figure with equal sides, drawing a diagonal line in this square, and giving the atrium the length of this diagonal line.

4. Their height up to the girders should be one fourth less than their width, the rest being the proportion assigned to the ceiling and the roof above the girders. The alae, to the right and left, should have a width equal to one third of the length of the atrium, when that is from thirty to forty feet long. From forty to fifty feet, divide the length by