On-line version ISSN 1678-4758
Hist. cienc. saude-Manguinhos vol.13 suppl.0 Rio de Janeiro Oct. 2006
Brunelleschi's mirror, Alberti's window, and Galileo's 'perspective tube'
O espelho de Brunelleschi, a janela de Alberti e o 'tubo' de Galileu
Samuel Y. Edgerton
Amos Lawrence Professor of Art History Williams College Williamstown, Massachusetts 01267 USA Samuel.Y.Edgerton@williams.edu
This essay argues that the advent of linear perspective, ca. 1425, when Filippo Brunelleschi painted a small panel of the Florentine Baptistery by applying the geometric rules of optical mirror reflection, was more than just an artistic event. Indeed, it subsequently had the most profound and quite unanticipated influence on the rise of modern science. Surely, by 1609, Galileo would not have understood what he saw when observing the moon through his newly invented optical telescope, then called the 'perspective tube,' had it not been for his training in perspective drawing. Yet, Brunelleschi's original dependence on the mirror two centuries earlier was intended not to reveal objective 'scientific' reality, but rather to reinforce Christian spiritual 'reality.' In 1435-6, Leon Battista Alberti, when codifying Brunelleschi's perspective in his famous "Treatise on Painting," substituted a gridded window for Brunelleschi's mirror, thus redirecting the purpose of perspective art away from revealing God's divine order as reflected on earth, to a more secular physical reality viewed directly in relation to human moral order.
Keywords: linear perspective; Renaissance art; modern science.
O presente ensaio defende que não foi somente um acontecimento artístico o advento da perspectiva linear (c. 1425), quando Filippo Brunelleschi ao pintar um pequeno painel no Batistério Florentino lançou mão das regras geométricas da reflexão em espelho ótico. Esse acontecimento veio a exercer uma profunda e inesperada influência no surgimento da ciência moderna. Com certeza, por volta de 1609, Galileu não teria compreendido o que via quando observava a lua através de seu recém-criado telescópio ótico, então chamado 'tubo de perspectiva', se não fosse sua familiaridade com o desenho em perspectiva. No entanto, a original dependência do espelho que Brunelleschi desenvolveu dois séculos antes não almejava revelar uma realidade 'científica' objetiva, mas sim reforçar a realidade espiritual cristã. Em 1435-36, Leon Battista Alberti, ao codificar a perspectiva de Brunelleschi em seu famoso "Tratado de pintura", substituiu o espelho de Brunelleschi por uma janela gradeada, assim redirecionando o propósito da arte da perspectiva, cujo intuito era não mais a revelação da ordem divina refletida na terra, mas sim de uma realidade física, mais secular, vista diretamente em sua relação com a ordem moral humana.
Palavras-chave: perspectiva linear; arte do Renascimento; ciência moderna.
Figure 1 is an illustration from a sixteenth-century manual on how to draw a simple picture in linear perspective. Figure 2 shows the twentieth-century rocket-powered Apollo spaceship preparing to drop its Eagle lander on the surface of the moon. In this essay, I argue that the construction of such complex mechanical devices, and even the possibility that the Eagle could stand on such an extraterrestrial body, could never have been realized without the humble artistic technique diagrammed in Figure 1. Indeed, linear perspective for painters, first conceived by the Italian artisan Filippo de Ser Brunelleschi in Florence (1377-1446), was one of the most decisive ideas in the history of Western technology and science as well as art.1
In the history of technology everywhere in the world, including the West, before the fifteenth century, mechanical apparatuses of whatever sort were never constructed from scale plans. Sometimes pictures were used, as in this quite non-perspective drawing from a fourteenth-century Islamic manuscript (Figure 3), but only to suggest the general purpose of the machine (a water pump) so that a skilled artisan, who already knew how to build such devices, could simply be reminded of what he was to construct, with little more than a glance at the image. In any case, its obvious that the picture is hardly an accurate diagram-to-scale from which a threedimensional working model could be fabricated.
Look now at Figures 4 and 5. The former is a drawing of a suction pump by an early fifteenth-century Italian engineer called Taccola (1381-ca.1453). He already knows about the new linear perspective, and his scale drawing could indeed be used in order to build from it a three-dimensional working model. But observe again: theres a flaw evident in this drawing. As the crank at the top turns, the rope that pulls the piston up and down must oscillate back and forth with every turn, causing the piston to rub each side of the circular wellhead until it is eventually bent into the shape of an oval, and thus cause the pump to loose suction and become dysfunctional!
Whats interesting is that this pump never needed to be built in order to prove, at expensive cost, that it would indeed quickly fail. Taccolas successor, the great Italian engineer, architect, and painter, Francesco di Giorgio Martini (1439-1501), realized the flaw instantly, simply from studying this earlier drawing. Without even having to reconstruct a model of the old pump in order to test its oscillating action, he was able to redesign it with an ingenious, correcting improvement. Notice that the crank in his, the latter Figure 5, now has a rolling slip ring around it, and the piston rod has a loop in the top in which the slip ring can roll back and forth so the piston only goes straight up and down, and never wobbles, thus causing no damaging friction.2
These simple drawings, dependent as they were on the draftsmens knowledge of linear perspective to scale, indicate graphically what this unique Renaissance art technique bequeathed to modern technology, and even to modern science, as I shall show an amazing example of shortly. To repeat, linear perspective drawing to scale made it possible to invent, improve, and correct the most complex machinery without having to waste time and money building and testing actual three-dimensional models. No rocket ship to the moon could ever have been invented, let alone be built, without the humble heritage of Renaissance linear perspective.
The rest of my essay will now be devoted to how that remarkable and unexpected relationship came about. Indeed, as we shall now see, linear perspective was first devised with no such scientific application in mind, but solely to help solve a very medieval theological problem, the burgeoning feeling among many intellectuals of the late Middle Ages that the traditional styles of religious painting no longer inspired the faithful sufficiently, especially during a gloomy time when the Holy Mother Church was suffering a number of traumatic crises like the loss of Jerusalem and the failure of the Christian Crusades, the terrible Schism of Church itself, and the even more terrible onset of the Black Death in the fourteenth century. In these miserable times, many people thought that God had abandoned them. What was needed in order to restore the faith, many community leaders and churchmen felt, was to make people feel that God and his saints were once more immanent in their daily lives, and that people could see and touch them just as if they were actual life-size persons in the here and now. Even figuratively putting their fingers in Jesus wounds just as Saint Thomas did in a famous Florentine statue, so illustrative of this famous Biblical proof (Figure 6), by the sculptor, Andrea del Verrocchio (ca.1435-1488), teacher of Leonardo da Vinci and whose surname, by the way, means True Eye.
Ironically, the currently popular early fifteenthcentury International Style of painting, even religious painting as displayed in churches, was anything but inspirational. It tended to be frivolous, gaudily colored and cluttered with sensual, hardly spiritual trivia, like this well-known altarpiece by Gentile da Fabriano (ca.1370- 1427), painted in 1423 (Figure 7). No less than the Dominican archbishop of Florence, Fra Antonino Pierozzi (1389-1459), later canonized as Saint Antonine, spoke out in a public sermon against such painters whose art he disclaimed because they showed oddities, which do not serve to excite devotion, but laughter and vanity, such as monkeys and dogs chasing hares, and the like, or vain adornment of clothing.3
Of great interest is that Antonino frequently laced his sermons with references to a newly arrived science in Italy, actually an old Greek science related to Euclidian geometry, called in Greek or perspectiva in Latin: the study of how light rays travel in straight lines but always fanning out pyramidally from the light source, and how the eye receives these rays and thus sees. After the rise of Islam in the seventh century, this science, now forgotten in the West, was re-discovered and expanded upon by the Arabs. Only after the slow re-conquest of Moorish Spain and Sicily, beginning in the eleventh century, did Western Christians learn of it once more (Lindberg, 1976). By the early fifteenth century, it had spread to most of the universities of Western Europe, and many preachers, especially Antonino, liked to make moral analogies based on perspectiva principles (Antonine, op. cit., v. 3, Titulus 9, Chaps. 1-3).
But let me stress that this ancient science, which today we call optics, had as yet nothing to do with the perspective of painting. It had strictly to do with explaining how light rays enter the eye, how light rays refract when entering a denser medium, and how mirrors reflect. Then, suddenly some time around 1425, the Florentine sculptor, engineer, architect, and all-around artisanimpresario, Filippo Brunelleschi, painted a small picture of the Florentine Baptistery to be viewed by looking at its mirror reflection through a small hole drilled in the back of the picture with the mirror held at arms length in front (Figure 8) (Saalman, 1970, p. 10-1). A contemporary of Brunelleschi who must have seen the original picture claimed the artist actually discovered his new rules by applying the same optical geometry that the old science had long since divined as to how objects are reflected in mirrors (Spencer, 1965, v. 2, p. 178v-179r). Unfortunately, this remarkable artwork has been lost since the mid-fifteenth century. Scholars generally agree however that it was the first painting in all of world art history to have been constructed according to the geometric laws of what we now understand as artistic linear perspective, or what at the time was called perspectiva artificialis to distinguish it from perspectiva naturalis, the original science of optics.
Mirrors in the late Middle Ages were not only objects of scientific optical study, but were believed to have some sort of divine significance. Pilgrims often carried them to sacred shrines in order to capture the reflections of holy relics, the miraculous powers of which were believed to be retained in the mirror even when the reflections themselves had disappeared (Schwarz, 1959, p. 90-105). Moreover, earthly reality itself was thought to be only a weakened mirror reflection of the perfect reality of heaven. Antonino often sermonized about the mirror as allegory of human mortality, especially as implied in the famous words of St. Paul in his Epistle to the Corinthians (I, 13:12): videmus nunc per speculum in enigmata tunc autem facie ad faciem in the Vulgate Latin, which was translated into the austere King James English as For now we see through a glass darkly but then face to face but which should be more literally rendered as, At present we see things indistinctly, as in a mirror, but then face to face.
Brunelleschis demonstration indeed permitted viewers to believe that they had penetrated the very enigma of the mirror, to see both the virtual reflection and actual Baptistery face to face behind the reflection, just as St. Paul had preached. His small hand-held panel of the Baptistery astonished fifteenth-century Florentines because it revealed not just a superior likeness in the modern secular photographic sense, but rather because the artists perspective image seemed to enhance as never before the sacredness of the Florentine Baptistery. Moreover, Brunelleschis viewers were enticed to believe themselves envisioning the very process by which the prophets see God or his divine mysteries behind the images and likenesses of sensible things, as Antonino preached. Spiritual geometry works to measure temporal things It measures dimensions not as quantities but as virtues within God (Antonine, op. cit.; see also Edgerton, 1977, v. I, p. 115-30).
Nevertheless, the first written connection between art and optical science was not recorded until 1435, when the humanist-scholar, Leon Battista Alberti (1406-72), stepped literally into the picture. In that and the next year, Alberti wrote a book on painting in two versions: Della pittura in Italian and De pictura in Latin, the first book to treat the visual arts as an appropriate humanist subject, as worthy of the same intellectual study as the great classics of antique Greek and Roman literature (Alberti, 1972). Alberti, who certainly accepted without question all the religious analogies between perspectiva naturalis and divine intention, nevertheless preferred to bring the matter more down to earth, as it were. For him the real advantage of Brunelleschis method was that the very rigidity of its structure and strict adherence to such an absolute law of nature as Euclids geometry must signify not just divine order but also human moral order. Alberti was so taken by the fecundity of the arts flourishing in Florence (he dedicated the Italian version of his book to Brunelleschi) that he now believed that painting in particular, if it followed the rules correctly, could provide ethical guidance to noble human behavior just as surely as the writings of Cicero.
Albertis actual perspective method was no more than a codification of Brunelleschis method already in practice by a number of artists in 1435, but he did present it in the form of simple sequential steps which, as his treatise increasingly circulated in Italy and across the Alps, helped to proliferate the new art-science throughout Europe (Figure 9). His most original contribution, however, was what has ever since become known as Albertis window (Figure 10), an open frame gridded by perpendicular threads through which the artist should view the scene to be painted, and then transfer the coordinate details in scale onto his similarly gridded picture. In essence, even if inadvertent, it shifted the purpose of perspective painting not as a depiction of divine mystery revealed by geometry, but as worldly perfection framed by geometry.
By the early sixteenth century, however, even as Albertis perspective method was accepted almost everywhere in Western Europe as providing the ultimate illusion of visual reality in art, Italian painters, while not abjuring the optical truthfulness of Albertis perspective, nonetheless began to tire of its geometric rigidity. Furthermore, they were finding new visual excitement in creating the illusion not so much of depth but of frontal projection. This new fascination was remarkably encouraged by recent archaeological discoveries of ancient Roman relief sculpture, figures were carved protruding from the surface of stone or plaster, arranged as if in lateral procession with their forms made visible not by painted colors but by the contrast between their lighted and shaded sides, and the actual shadows they cast against the background plane. Instead of simulating a window view of deep space beyond the pictorial surface, the ancient carvers created an equally lifelike illusion of forward projection. This new archaeological fascination, especially after the 1520s, resulted in a widely popular relief-like style of classical painting in central Italy (Hall, 1999). Artistic mastery of this novel mode nevertheless still depended on knowledge of basic Albertian perspective as applied to the related optical geometry of shadow casting, the laws of which had likewise been enumerated by Alberti in his 1435/6 Treatise on Painting.
Finally, fast-forwarding to seventeenth-century Florence, nearly two hundred years after Brunelleschis mirror and Albertis window had impressed their profound effects upon European art and thought, we encounter Galileo Galilei (1564-1642), the great astronomer and physicist. Not surprisingly, the birth of Galileo in nearby Tuscan Pisa on February 15, 1564, just three days before the death of the great Michelangelo Buonaroti in Tuscan Florence, has given rise ever since to speculation that there must have been some kind of occult connection between these two events (Bredekamp, 2000, p. 423-62). For indeed, Galileo, about to become as equally revered in science as Michelangelo in art, did seem mysteriously to have inherited a strain of that same artistic talent. Whether or not Galileos remarkable ability owed to the above coincidence, or just to the fact that for the past three centuries such talent seemed almost genetic in the Tuscan population, his profound understanding of linear-perspective drawing, called disegno in Italian, nonetheless helped mightily to open his eyes to new revelations of nature that had escaped understanding everywhere in the world since the beginning of the human race.
Two years before Galileos birth, Giorgio Vasari (1511-74), the first art historian, had founded the Accademia del Disegno (Academy of Drawing) in Florence. This was intended to be an organization where painters, sculptors, and architects could meet together not as mere artisan guild-members but as intellectuals, conversing about current trends in philosophy, literature, and science. Vasari wanted to establish a center where artists could keep up to date on geometry and anatomy, the sciences he believed essential to the practice of the visual arts. Under geometry, he especially stressed the study of both linear perspective and chiaroscuro, literally lightdark, the rendering of shades and shadows. The Academy should even provide for a professional geometer to teach these subjects to less-prepared artist-members. In 1588, the 24-year-old Galileo considered himself sufficiently trained in the art-science of disegno to apply for this position. While there is no record that he was offered the job, it was perhaps during this period that the aspiring young teacher began his lifelong friendship with the painter Lodovico Cardi, called Cigoli (1559-1613), five years older and already a member. Cigoli lauded Galileos knowledge of geometry, even acknowledging that in perspective drawing, Galileo was his master (ibid.). Galileos increasing competence in this skill led finally, in 1613, to his own election to the prestigious Accademia.
In 1612, Cigoli found himself embroiled in one of those endless Renaissance debates over which was superior, painting or sculpture, and asked his friend for support. Galileo replied that painting is surely the superior art because it imitates what is visible but not immediately tangible:
The statue does not have its relief by virtue of being wide, long, and deep but by virtue of being light in some places and dark in others. And one should note as proof of this, that only two of its three dimensions are actually exposed to the eye: length and width (which is the superficies ... that is to say, periphery or circumference). For, of the objects appearing and seen we see nothing but their superficies; their depth can not be perceived by the eye because our vision does not penetrate opaque bodies. The eye then sees only length and width and never thickness. Thus, since thickness is never exposed to view, nothing but length and width can be perceived by us in a statue. We know of depth, not as a visual experience per se and absolutely but only by accident and in relation to light and darkness. And all this is present in painting no less than in sculpture ... But sculpture receives lightness and darkness from Nature herself whereas painting receives it from Art... (Panofsky, 1956, p. 32-7)
Galileo apparently cared little for the abstract vagaries of the Mannerist style as recently practiced by certain artists in his native city, preferring the classically based volumetric, more or less uncolored chiaroscuro painting advocated by the Accademia del Disegno in fact, the favored style of Leon Battista Alberti. I must also add that, by the late sixteenth century, the study of linear perspective in general and chiaroscuro in particular appealed not only to artists but ever more to professional scholars especially in Italy and Germany who otherwise had no interest in the visual arts. Numbers of highly technical perspective books were printed with this audience in mind. In Italy, prestigious mathematicians like Federico Commandino and his student Guidobaldo del Monte both published on the subject. Commandino was the first professional geometer to discuss linear perspective and introduce its pictorial conventions to theoretical mathematics.
Guidobaldo del Monte was to become one of Galileos strongest supporters, helping the young scientist to find his initial teaching job at the university of Pisa in 1589, and his second at the university of Padua in 1592. Guidobaldos treatise, Perspectivae libri sex, published in Pesaro, 1600, contained a whole section on cast shadows and would surely have been studied by Galileo. Figure 11 shows one of Guidobaldos woodcut illustrations of various solids under raking light, indicating how they cast their shadows on a plane. As a perspectivist, Galileo would likely have been familiar with Daniel Barbaros La pratica della perspettiva, published in several editions in Venice during the late 1560s, and often consulted by members of the Florentine Accademia. Barbaro offered a number of difficult drawing exercises including how to draw spheres with raised protuberances, and how these would then receive light and cast shadows on a curving surface. If Galileo were not familiar with Barbaro, he most certainly studied another similar work also entitled La pratica di prospettiva, by Lorenzo Sirigatti in 1596. The latter was himself a charter member of the Accademia and cavaliere in the court of Grand Duke Ferdinand de Medici. This handsomely published treatise consisted of two sections, the first giving standard instruction in how to project multi-faceted solids and the second a series of twenty-four plates illustrating special problems of chiaroscuro, including several remarkable engravings of shaded spheres with both raised protuberances and recessed channels (Figure 12).
Let us for a moment take leave of Florence and look in on Jacobean London during the summer of 1609, where we encounter Galileos scientific contemporary, Thomas Harriot (1560-1621), who has just procured a fascinating new instrument invented the year before in Holland, which he called a perspective tube, and which, of course, we now call the telescope. The Dutch inventors had thought that the new device would be most useful to sailors for spotting distant ships at sea, or to military commanders for discerning far-off enemy installations, but Harriot did the novel thing of turning it on the moon. He even made an extant drawing of the moon as seen through his perspective tube Figure 12 (Figure 13). Unfortunately, he added no explanation save the (Julian calendar) date and time of his observation: 1609, July 26, hor.9p.m.,...The [first quarter] 5 dayes old. In any case and the reason why he is hardly remembered in the history of astronomy Harriots crude sketch reveals nothing new.
Europeans of his time still had no reason to doubt Aristotles definition of the moon as a perfect sphere, the prototypical form of all planets and stars in the cosmos. Christian doctrine added to this euphoric image by having the moon symbolize the Virgins Immaculate Conception. Pure as the moon became a commonplace expression for Mary, implying that the universe, like her, was incorruptible, that God would not have created the moon or any heavenly body in another shape. Renaissance artists, especially those serving zealous Catholic patrons, frequently depicted the Virgin standing on such a moon, as did Bartolomé Estabán Murillo (1617- 82) well into the seventeenth century, especially in Spain (Figure 14). We see her here in one of many paintings Murillo did of the subject, poised upon a ball marbled like translucent alabaster but with a highly polished, utterly smooth surface.
In Thomas Harriots England, anti-Aristotelian Francis Bacon (1561-1626) had concluded that the lunar body was not solid at all, but rather composed of some unexplained vapour. Harriots own opinion about the moons composition remains unrecorded. Nonetheless, he drew the terminator, that is, the demarcation line between the illuminated and shaded portions of the moon, with short, ragged strokes as if it fell over a roughened surface. On the upper half of the sphere, Harriot indicated the configurations of what we now know as the great lunar seas, the Maria Tranquilitatis, Crisium, and Serenitatis, which do seem to have appeared to him as surface markings rather than internal, vaporous discolorations. Nevertheless, he was unable to recognize the significance of these observations. His perspective tube only confirmed more or less what the ancients had always said he would see. The strange spottednesse of the moon, as Harriot called the phenomenon, remained as mysterious to him as ever.
Later in the same year, 1609, Galileo built himself a similar telescope, based only on news of its prior invention in the Netherlands, but with no knowledge of Thomas Harriot. Galileos own home-made perspective tube was in effect no more than Albertis window enhanced by magnifying lenses. He too aimed it at the moon, and as he evaluated what he observed, his own perspective drawing experience made it clear to him that Harriots strange spottednesse was really dark shadow cast by protruding mountains on the moons irregular surface. To the startled public who read his book, Sidereus nuncius (Starry Messenger) in 1610, Galileos perspective tube quite shattered Brunelleschis mirror. What Galileos version of Albertis window revealed was that the earth was not necessarily a pale reflection of the immaculate heavens as Brunelleschis mirror proclaimed, but in the case of the moon just the other way around. Beyond any Jesuit doubt, that is, if one of them dared to look through his perspective tube, Galileo proved that the first planet in Dantes magnificent ascent to the heavenly Empyrion was hardly the eternal pearl described by the poet, but rather a most imperfect sphere, marred and crinkled just like the lowly earth.
Why did Thomas Harriot miss what Galileo saw so precisely just a few months later? Was it only because his telescope was less powerful than Galileos? To the latter question, I answer no, because the moon through any perspective tube of the time could hardly have looked as sharp as it does in a modern Lick Observatory photograph familiar to every college astronomy student (Figure 15).
Both Galileos and Harriots instruments, mounted on rickety home-made stanchions, must have been difficult to focus to say the least. Moreover, such primitive devices had very narrow fields of view; only about a quarter of the moon could be observed at one time (van Helden, 1974, p. 44). In sum, neither the English nor the Tuscan scientist could have seen the moon so distinctly that its true surface topography would be instantly self-evident. Besides, quite a number of such tubes were being produced in several centers of Europe by the end of 1609. Would not someone else also have thought to aim the instrument toward the sky? If one knew nothing a priori about the moons external topography, would its grayish blotches be seen immediately as shades and shadows of mountain ridges? Especially if the observer, like all people before 1610, was already certain such blotches had something to do with the moons translucent internal composition?
Perhaps Galileo surely made some illustrations right there on the spot as he stared at the moon from atop the San Giorgio Maggiore campanile in Venice. While none of these have survived, we are in possession of seven finished sepia studies, which I believe were done later, based on his first ad hoc sketches. These small finished wash drawings, four of the waxing and three of the waning moon, are still preserved on two sides of a sheet of artists water-color paper in the Biblioteca Nazionale in Florence (Figure 16). All were certainly done by someone well-practiced in the manipulation of ink washes, especially the rendering of chiaroscuro effects. They are by an experienced artist, and we have no reason to believe by anyone other than Galileo himself.
Galileo no doubt prepared these washes as models for the engraver who would illustrate his book, Sidereus nuncius, which he rushed to publication barely five months after he began looking at the skies through his home-made telescope. Only five engravings of the moons phases were printed in Sidereus nuncius, none exactly replicating the wash drawings.4 Figure 17 indicates how two of these appeared in Galileos book.
Figure 18 is another Lick Observatory photograph showing the same second-quarter waxing Moon as illustrated at left in Sidereus nuncius. Galileos accompanying matter-of-fact textual description of these engravings belies both his own excitement and the stupendous impression they made upon an unsuspecting world:
[I] have been led to the conclusion that the surface of the Moon is not smooth, even, and perfectly spherical, as the great crowd of philosophers have believed about this and other heavenly bodies, but, on the contrary, to be uneven, rough, and crowded with depressions and bulges. And it is like the face of the Earth itself, which is marked here and there with chains of mountains and depths of valleys. (Galileo, 1989, p. 40)
As stated, the illustrations in Sidereus nuncius are not exact copies of any of the wash drawings. It would seem that Galileo furnished the latter only as guides to the engraver, who was apparently asked to emphasize the more spectacular features of the moons surface. He even permitted the engraver a certain artistic license to exaggerate the size of that particularly dark, deep crater we see lying just below center along the terminator in Figure 17. This is Albategnius, and Galileo wished to compare its steep sides to the high mountains on Earth surrounding the region of Bohemia. Thus he bade his engraver to render it large, to dramatize that the moon is covered all over with such rugged depressions. We should also bear in mind that the engraver would probably not have looked through the telescope himself, but depended solely on the astronomers drawings and, no doubt, Galileos rather excited verbal descriptions.
Galileos original wash drawings reveal a much more painterly lunar surface than do the published engravings. Most modern historians have talked about only the latter, which by virtue of their metallic, linear technique, make Galileos moon look like the arid and lifeless body our modern astronauts discovered it to be. His wash renderings, on the other hand, show that he still regarded the Moon somewhat in the old medieval watery spirit. With the deft brushstrokes of a practiced water-colorist, he laid on a half-dozen different grades of washes, imparting to his images an attractive soft and luminescent quality. Remarkable indeed was Galileos command of the Baroque painters convention for contrasting lighted surfaces, and his ability to marshal darks and lights to increase their mutual intensities. In the upper left of the sheet of sepia drawings, in Figure 16, we see how he set down a little practice patch of dark and light washes surrounding a white area, probably to help his engraver realize the form of the lunar crater as it took shape in the waxing light. With artistic economy worthy of Tiepolo, Galileo indicated the concave hollow with a single stroke of dark, leaving a sliver of exposed white paper to represent the craters glowing brim.
Is it preposterous to claim that these simple, yet highly professional paintings belong as much to the history of art as they do to the history of science? While no comparable art work exists also attributable to Galileo, we do have much contemporary verbal testimony concerning his considerable skill as a draftsman. In the true spirit of the Florentine Accademia, Galileo seems to have engaged in disegno not for the sake of self-expression but rather to discipline his eye and hand for science. And yet he has at the same time in these chiaroscuro washes anticipated the independent landscape in the history of art. His almost impressionistic technique for rendering fleeting light effects reminds us of Constable and Turner, and perhaps even Monet. One needs only to read on in Sidereus nuncius to appreciate his wonder, as well as his rational understanding as he gazed upon the transient moonscape, noticing it was covered with small spots having:
their dark part on the side toward the Sun, while on the side opposite the sun they are crowned with brighter borders like shining ridges. And we have an almost entirely similar sight on Earth, around sunrise, when the valleys are not yet bathed in light but the surrounding mountains facing the Sun are already seen shining with light. And just as the shadows in the earthy valleys are diminished as the Sun climbs higher, so these lunar spots lose their darkness as the luminous part grows. Not only are the boundaries between light and dark on the Moon perceived to be uneven and sinuous, but what causes even greater wonder is that many bright points appear within the dark part of the Moon, entirely separated and removed from the illuminated region and located no small distance from it. Gradually after a small period of time, these are increased in size and brightness. Indeed, after 2 or 3 hours they are joined with the rest of the bright part, which has now become larger. In the meantime, more and more bright points light up, as if they are sprouting, in the dark part grow, and are connected at length with that bright surface as it extends farther in that direction Now on Earth, before sunrise, arent the peaks of the highest mountains illuminated by the Suns rays while shadows still cover the plain? Doesnt light grow, after a little while, until the middle and larger parts of the same mountains are illuminated, and finally, when the Sun has risen, arent the illuminations of plains and hills joined together? (Ibid., p. 41-3)
Did ever a Baroque painter express the new secular spirit of landscape art better than this? Was ever an artists eye better prepared to recognize the universal geometrical principles of perspective optics and chiaroscuro even at work on the moon? Moreover, after thus having marveled at the picturesque lunar terrain, Galileo quickly reverted to his scientific self and made two other amazing perspective-related discoveries. The first was when he noticed that some of the lunar peaks were tipped with light within the shadow side even as the terminator boundary lay a long way off. At the same time, he was able to convert this phenomenon into a geometric diagram for solving a shadow-casting problem such as he may have recalled from Guidobaldo del Monte.
Figure 19 illustrates another manuscript page which Galileo prepared for Sidereus nuncius. On it he drew a circle representing the moon, divided by the terminator, which he marked cef. The Suns shadow-casting light rays he indicated by the tangent line dcg. With particular ingenuity, considering that his primitive telescope had no cross-hair sighting device, he was able to estimate the real distance of the lighted lunar mountain peak to the terminator as being about one-twentieth (line dc here in the diagram) of the Moons whole diameter. This distance, more or less comparable to line DK in Guidobaldo del Montes cone/shadow diagram (Figure 11), then allowed him to triangulate the mountains height. Since the moons diameter was known to be two-sevenths of the Earths own diameter, or about two thousand miles, Galileos triangle ced, with ce equaling one thousand miles, and cd one hundred, revealed by Pythagorean calculation that da, the mountains height on center from its base, reached more than four miles into the lunar sky! By applying a problem well known to students of Renaissance perspective, Galileo added yet another fact to his already wondrous revelations, that the mountains on the moon were more spectacular than the Alps here on Earth.
Galileos telescopic observations of the moon, announced in Sidereus nuncius, opened the eyes of Renaissance Europeans to a celestial reality they had never before imagined. If Thomas Harriots Britain still lingered in the pre-perspective Middle Ages, Galileo offered that insulated land a crash course in Italian ways of seeing. Suddenly, everywhere in Britain, amateur as well as professional philosophers were able to conceive of the same mountains and umbrageous dales as Galileo had just described, whatever the quality of their own telescopes. The landscaped moon as well as the perspective glasse became instant metaphors in the writings of Dryden, Donne, Butler, Milton, and many other British poets.5 Even Harriot, once he had read Sidereus nuncius, finally saw the shaded craters which had eluded him a year before. In July of 1610, four months after Sidereus nuncius was published, Harriot drew yet another lunar picture (Figure 20).
Again, there is no written comment, but the Englishman did sketch the moons concavities in pen-stroke circles and half-circles, even exaggerating Albategnius in imitation of the Sidereus nuncius engravers drawing. It is a curious fact, if only a coincidence, that in 1611, hardly a year after England received Galileos stunning announcement, Inigo Jones, the first Englishman to have talent and training in the conventions of Italian perspective drawing, was appointed Surveyor General to the Prince of Wales, and Sebastiano Serlios Treatise on Architecture, the most widely read textbook on the neo-classical style including a special section on linear perspective was translated into English. Both events, following immediately upon the news of Galileos telescopic discoveries, signaled the arrival finally of the full-blown Italian Renaissance to the British Isles.
There still remained, of course, some recalcitrant souls who so firmly believed the moon was pure that they could not be persuaded to look through Galileos telescope. The Roman Catholic Church, however, was quick to co-opt the new discovery. In 1612, Galileos friend Cigoli the painter was commissioned to fresco the domed ceiling of the Pauline Chapel in the Basilica of Santa Maria Maggiore in Rome. The artist was permitted to depict there the Virgin Mary standing on a crater-pocked Moon, no doubt inspired by one of Galileos original drawings (Figure 21) (Ostrow, 1996, p. 218-35).
To this day Cigolis painting is officially and prudently called the Assumption rather than the Immaculate Conception. By this admission in such a sacred place, the Church tacitly acknowledges that Galileo was not altogether wrong about at least some of the heavens looking just like Earth.
It is worth noting in conclusion, however, that as astronomers after Galileo demanded to see ever more distant planets and stars, the perspective tube had to be extended longer and longer with magnifying lenses larger and larger. Finally, no less than Sir Isaac Newton (born the same year Galileo died) realized that another optical component must be added to the instrument to increase its power. In order to reveal ever more of the great beyond still shrouded in enigmata, Albertis window cum telescope needed to be further enhanced by reinstalling Brunelleschis mirror (Figure 22).
Alberti, Leon Battista 1972 On painting and sculpture: the latin texts of De Pictura and De Statua. Transl. & notes by Cecil Grayson. London & New York: Phaidon Press. [ Links ]
Antonine 1959 Sancti Antonini Summa Theologica. Facsimile of Verona, 1740 edition. Graz: Akademische Druck u. Verlagsanstalt. 4 v. [ Links ]
Bredekamp, Horst 2000 Gazing hands and blind spots: Galileo as draftsman. Science in context, v. 13, n. 3-4, p. 423-62. [ Links ]
Edgerton, Samuel Y. 1991 The heritage of Giotto's geometry: art and science on the eve of the scientific revolution. Ithaca (NY) & London: Cornell University Press. p. 125-39. [ Links ]
Edgerton, Samuel Y. 1977 Mensurare temporalia facit Geometria spiritualis: some fifteenth-century italian notions about when and where the Annunciation happened. In: Lavin, Irving; Plummer, John (ed.) Studies in late medieval and renaissance painting in honor of Millard Meiss. New York: New York University Press. v. I, p. 115-30. [ Links ]
Galileo Galilei 1989 Sidereus nuncius or The Sidereal Messenger. Transl. by Albert Van Helden. Chicago: University of Chicago Press, p. 40. [ Links ]
Gilbert, Creighton 1959 The Archbishop on the Painters of Florence. The Art Bulletin, v. 41, p. 75-87. [ Links ]
Hall, Marcia B. 1999 After Raphael: painting in Central Italy in the sixteenth century. Cambridge (UK): Cambridge University Press. [ Links ]
Lindberg, David C. 1976 Theories of vision from Al-Kindi to Kepler. Chicago & London: University of Chicago Press. [ Links ]
Ostrow, Stehen 1996 Cigoli's Immaculata and Galileo's Moon: astronomy and the Virgin in early Seicento Rome. The Art Bulletin, v. 78, n. 2, p. 218-35. [ Links ]
Panofsky, Erwin 1956 Galileo as critic of the arts; aesthetic attitude and scientific thought. The Hague: Martinus Nijhoff. p. 32-7. [ Links ]
Saalman, Howard (ed.) 1970 The life of Brunellschi by Antonio di Tuccio Manetti. Transl. by Catharine Enggass. University Park (PA) & London: Pennsylvania State University Press. p. 10-1. [ Links ]
Schwarz, Heinrich 1959 The Mirror of the Artist and the Mirror of the Devout. Studies in the history of art dedicated to William E. Suida on his eightieth birthday. London & New York: Phaidon Press. p. 90-105. [ Links ]
Spencer, John R. (transl. & ed.) 1965 Filarete's Treatise on Architecture: being the treatise by Antonio di Piero Averlino Known as Filarete. New Haven & London: Yale University Press. v. 2, p. 178v-179r. [ Links ]
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Submitted on October 2005.
Approved on February 2006.
1 This essay is actually itself an 'abstract' of a new book of the same name I am currently writing.
2 For more on the Italian (Sienese) engineers, Taccola and Francesco di Giorgio Martini, see my earlier book: Edgerton, 1991, p. 125-39.
3 Antonine, Sancti Antonini Summa Theologica (facsimile of Verona, 1740 edition), Graz (Akademische Druck u. Verlagsanstalt), Graz, 1959, 4 vols. This Latin original of this text is found in v. 3, Titulus 8, Chapter 4, Column 322. See also the further discussion of this passage by Creighton Gilbert, 1959, p. 75-87.
4 There is no way Galileo could have made such careful pen-and-wash studies during his exciting first moments at the telescope, as anyone who has ever stood in the cold, windswept tower of San Giorgio Maggiore (Galileo's open 'observatory') should quickly understand. Like any seventeenth-century 'landscape painter,' Galileo returned to the studio to finish his pictures, based on remembered impressions, verbal notes, and hasty diagrams. Plein air painting, after all, was not invented until the nineteenth century.
5 Even in Protestant England, John Donne (1572-1631), when he heard of Galileo's discoveries, suspected (with tongue in cheek) that it was all a Jesuit plot anyway (as he wrote below in his fiercely satirical tract, 'Ignatius his Conclave' in 1611): "I will write the Bishop of Rome: he shall call Galileo the Florentine who by this time hath thoroughly instructed himself of all the hills, woods, and cities in the moon. And now being grown to more perfection in his art, he shall have made new glasses, and with these having received a hallowing from the pope, he may draw the moon, floating like a boat upon the water, as near the Earth as he will. And thither (because they ever claim that those employments of belong to them) shall the Jesuites be transferred, and easily unite and reconcile the Lunatique Church to the Roman Church. And without doubt, after the Jesuites have been there a little while, there will soon grow naturally a Hell in that world, over which you [?] Ignatius Loyola shall have dominion...".