James Gregory was born on November 1638 in Drumoak, Aberdeenshire, Scotland. He was the youngest out of the three children his parents had. His father’s name was John Gregory and his mother’s name was Janet Anderson. His father was a minister at the Episcopalian Church of Scotland. James Gregory was initially educated at home by his mother. His mother endowed him with his appetite for geometry, because her uncle was an editor for the French mathematician Viete. James’s father died in 1651, and his older brother David took over responsibility for his education. In 1651, after his father’s death James went to Grammar School. Grammar School is a secondary school in Great Britain. Students start grammar school at the age of 12 til they are 18.
…show more content…
The Optica Promota is the work that analyzed the refractive and reflective properties of lens and mirrors based on various conic sections and substantially developed the Johannes Kepler’s theory of the telescope. In 1663, he visited The Hague and Paris before settling in Padua, Italy, to study geometry, mechanics, and astronomy. While in Italy in he wrote Vera Circuli et Hyperbola Quadratura in 1667. He used a modification of the method of exhaustion of Archimedes to find the areas of the circle and sections of hyperbola. In his construction of an infinite sequence of inscribed and circumscribed geometric figures. He was one of the first to distinguish between convergent and divergent infinite …show more content…
Unfortunately, this series converges too slowly too slowly to for the practical generation of digits in its decimal expansion. Nevertheless, it encouraged the discovery of other, more rapidly convergent infinite series for . He also discovered a method of drawing Tangents to curves geometrically, without previous calculations. He created a rule for the direct and inverse method of tangents, which stands upon the same principle with that fluxions,and differs not much from it in the manner of application. James also invented the series for the length of the arc of a circle from the tangent, and also for secant and logarithmic tangent and
The Optica Promota is the work that analyzed the refractive and reflective properties of lens and mirrors based on various conic sections and substantially developed the Johannes Kepler’s theory of the telescope. In 1663, he visited The Hague and Paris before settling in Padua, Italy, to study geometry, mechanics, and astronomy. While in Italy in he wrote Vera Circuli et Hyperbola Quadratura in 1667. He used a modification of the method of exhaustion of Archimedes to find the areas of the circle and sections of hyperbola. In his construction of an infinite sequence of inscribed and circumscribed geometric figures. He was one of the first to distinguish between convergent and divergent infinite …show more content…
Unfortunately, this series converges too slowly too slowly to for the practical generation of digits in its decimal expansion. Nevertheless, it encouraged the discovery of other, more rapidly convergent infinite series for . He also discovered a method of drawing Tangents to curves geometrically, without previous calculations. He created a rule for the direct and inverse method of tangents, which stands upon the same principle with that fluxions,and differs not much from it in the manner of application. James also invented the series for the length of the arc of a circle from the tangent, and also for secant and logarithmic tangent and