GeometryGeometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.
High RenaissanceIn art history, the High Renaissance was a short period of the most exceptional artistic production in the Italian states, particularly Rome, capital of the Papal States, and in Florence, during the Italian Renaissance. Most art historians state that the High Renaissance started around 1495 or 1500 and ended in 1520 with the death of Raphael, although some say the High Renaissance ended about 1525, or in 1527 with the Sack of Rome by the army of Charles V, Holy Roman Emperor, or about 1530.
Camera obscuraA camera obscura (; ) is a darkened room with a small hole or lens at one side through which an is projected onto a wall or table opposite the hole. Camera obscura can also refer to analogous constructions such as a box or tent in which an exterior image is projected inside. Camera obscuras with a lens in the opening have been used since the second half of the 16th century and became popular as aids for drawing and painting.
Piero della FrancescaPiero della Francesca (ˌpjɛəroʊ_ˌdɛlə_frænˈtʃɛskə, USalso-_frɑːnˈ-, ˈpjɛːro della franˈtʃeska; ; 1415 – 12 October 1492) was an Italian painter of the Early Renaissance. To contemporaries he was also known as a mathematician and geometer. Nowadays Piero della Francesca is chiefly appreciated for his art. His painting is characterized by its serene humanism, its use of geometric forms and perspective. His most famous work is the cycle of frescoes The History of the True Cross in the church of San Francesco in the Tuscan town of Arezzo.
3D projectionA 3D projection (or graphical projection) is a design technique used to display a three-dimensional (3D) object on a two-dimensional (2D) surface. These projections rely on visual perspective and aspect analysis to project a complex object for viewing capability on a simpler plane. 3D projections use the primary qualities of an object's basic shape to create a map of points, that are then connected to one another to create a visual element.
Luca PacioliFra. Luca Bartolomeo de Pacioli (sometimes Paccioli or Paciolo; 1447 – 19 June 1517) was an Italian mathematician, Franciscan friar, collaborator with Leonardo da Vinci, and an early contributor to the field now known as accounting. He is referred to as the father of accounting and bookkeeping and he was the first person to publish a work on the double-entry system of book-keeping on the continent. He was also called Luca di Borgo after his birthplace, Borgo Sansepolcro, Tuscany.
MasaccioMasaccio (UKmæˈsætʃioʊ, USməˈsɑːtʃioʊ,_məˈzɑːtʃ(i)oʊ, maˈzattʃo; December 21, 1401 – summer 1428), born Tommaso di Ser Giovanni di Simone, was a Florentine artist who is regarded as the first great Italian painter of the Quattrocento period of the Italian Renaissance. According to Vasari, Masaccio was the best painter of his generation because of his skill at imitating nature, recreating lifelike figures and movements as well as a convincing sense of three-dimensionality. He employed nudes and foreshortenings in his figures.
GiottoGiotto di Bondone (ˈdʒɔtto di bonˈdoːne; 1267 – January 8, 1337), known mononymously as Giotto (UKˈdʒɒtoʊ , USdʒiˈɒtoʊ,_ˈdʒɔːtoʊ ) and Latinised as Giottus, was an Italian painter and architect from Florence during the Late Middle Ages. He worked during the Gothic and Proto-Renaissance period. Giotto's contemporary, the banker and chronicler Giovanni Villani, wrote that Giotto was "the most sovereign master of painting in his time, who drew all his figures and their postures according to nature" and of his publicly recognized "talent and excellence".
Divina proportioneDivina proportione (15th century Italian for Divine proportion), later also called De divina proportione (converting the Italian title into a Latin one) is a book on mathematics written by Luca Pacioli and illustrated by Leonardo da Vinci, completed by February 9th, 1498 in Milan and first printed in 1509. Its subject was mathematical proportions (the title refers to the golden ratio) and their applications to geometry, to visual art through perspective, and to architecture.
Vanishing pointA vanishing point is a point on the image plane of a perspective rendering where the two-dimensional perspective projections of mutually parallel lines in three-dimensional space appear to converge. When the set of parallel lines is perpendicular to a picture plane, the construction is known as one-point perspective, and their vanishing point corresponds to the oculus, or "eye point", from which the image should be viewed for correct perspective geometry.
De quinque corporibus regularibusDe quinque corporibus regularibus (sometimes called Libellus de quinque corporibus regularibus) is a book on the geometry of polyhedra written in the 1480s or early 1490s by Italian painter and mathematician Piero della Francesca. It is a manuscript, in the Latin language; its title means [the little book] on the five regular solids. It is one of three books known to have been written by della Francesca.
Italian RenaissanceThe Italian Renaissance (Rinascimento rinaʃʃiˈmento) was a period in Italian history covering the 15th and 16th centuries. The period is known for the initial development of the broader Renaissance culture that spread across Western Europe and marked the transition from the Middle Ages to modernity. Proponents of a "long Renaissance" argue that it started around the year 1300 and lasted until about 1600. In some fields, a Proto-Renaissance, beginning around 1250, is typically accepted.
Three-dimensional spaceIn geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates) are required to determine the position of a point. Most commonly, it is the three-dimensional Euclidean space, the Euclidean n-space of dimension n=3 that models physical space. More general three-dimensional spaces are called 3-manifolds. Technically, a tuple of n numbers can be understood as the Cartesian coordinates of a location in a n-dimensional Euclidean space.
