2. 1452Born in Vinci, April 15, illegitimate son of Ser Piero and peasant girl Catarina 1453 Lives with his elderly grandparents and an uncle, Francesco, who is a farmer 1457Since he is illegitimate, he is not allowed to go to school with the other children 1469Starts apprenticeship in renowed workshop of painter Andrea del Verrocchio in Florence Studies perspective as an art student using Geometry text by Pagolo Medico 1472Registers as a painter in the Guild of St. Luke

3. 1477Opens his own Business 1478Starts first notebook, studies basic Arithmetic and duplicates tables of squares Draws a copy of Archimedes screw in a plan for a tower 1480Draws a parabolic section of a cone 1482Abandons his first commission “ The Adoration of the Magi” 1483Moves to Milan: hired by Duke of Milan, Ludivico Sforza, as military engineer Studies algebra with Marliano, meets the father of mathematician Cardano 1483Begins project to build 80 ton statue of Sforza father on horseback 1489Begins anatomical studies 1490Begins notebooks to record his studies with many detailed drawings

4. 1490Works on problems on transformation of volumes. 1493Leonardo is recognized as a Geometer. 1496Becomes friends with mathematician Luca Pacioli ; illustrates his book Divina Proportione. Studies Euclid: begins a period of intence mathematical study from 1496-1504. 1496Begins the quadrature problems (squaring the circle ); uses key geometrical figure. 1499Italy is invaded by France, Sforza fall from power, Leonardo finds patrons in Manyua& Venice. 1500Works on problems with kinemetric figures (Newton builds on this with flux concept) Studies Giorgio Valla’s encyclopedia: Begins problems on doubling the cube. 1493g

5. 1502Hired by Cesare Borgia: travels with his army for one year as a military engineer Works on pyramid problems: discovers its center of mass : begins fixed compass problems 1503Back in Florence, he begins panting the Mona Lisa 1503Writes that he has successfully squared the cube 1504Death of Leonardo’s father 1507 Death of his uncle, Francisco in Vinci 1507 Leonardo’s interest shifts back to quadrature problem during next 3 years 1508 Moves back to Milan 1509Re-discovers the Lunes of Alazen

6. 1510Employed by French King Louis XII; given a stipend for next 2 years 1512Paints his self-portrait as an old man 1513Opens a studio in Rome; accepts projects from the Pope; Pope forbids dissections 1515Determines the surface area of a cone by rolling one on a plastic surface 1515Prepares hundreds of quadrature problems for a game book called De Ludo Geometrico 1516 His patron Giuliano de' Medici dies, leaves Italy 1516Hired by King Francis I of France and given stipend; moves to Amboise, France 1516Suffering paralysis in right hand; gives up using compass and ruler in geometry problems 1519Dies on May 2 in Cloux, France near Amboise