Trigonometry In Viete's Trigonometria

Great Essays
In the early 17th century names like Francois Viete and Bartholomeo Pitiscus were still ringing through the mathematical community’s ears. Viete had blown everyone away with his book Canon Mathematicus in 1579. The book contained a collection of trigonometric formulas and tables. Viete was also responsible for trisecting an angle and the construction of the regular pentagon. Bartholomeo Pitiscus had coined the term trigonometry in the title of his 1595 book, Trigonometria. This book was split into five parts on spherical and plane geometry. In 1609, a mathematician named Johann Kepler achieved the first major accomplishment of the century. Using planetary observations, Kepler devised the first two laws of planetary motion. In proving the second law, Kepler used an infinite number of triangles each with a vertex at the sun. He used a form of integral calculus, as we know it today. Again in 1614, the mathematical community was baffled by John Napier’s “invention” of logarithmic functions. It was later discovered that Jobst Bürgi had developed logarithms first however, he failed to publish his work first. Blaise Pascal, born in 1623 to Antoinette and Etienne Pascal. From a very early age Pascal showed an interest in math just like his skilled father. Due to Etienne Pascal’s unconventional …show more content…
The problems were related to calculating the probability of certain events. For example, if he threw two dices twenty four times, what was the probability of rolling two fours? Another question posed by Gombaud was the division off the stakes problem. The general problem was stated as such: If a game is ended before it was completed then how should the players divide up the stakes? By conversing with Pierre de Fermat, Pascal was able to solve both of these problems in gambling as well as many others. These solutions are the basis of modern probability and statistics

Related Documents

  • Improved Essays

    Greek Contributions Dbq

    • 617 Words
    • 3 Pages

    Euclid, a very famous mathematician, composed a book of his findings called Elements. This book was written in about 300 B.C.E. and his ideas were a starting point in the field of geometry, which is studied around the world today. One of the many theorems in this book was "If two straight lines cut one another, the vertical, or opposite, angles shall be equal" (Document 5). Another famous mathematician named Pythagoras has also donated many ideas into the mathematics of geometry. One of his most famous theorems includes the Pythagorean Theorem.…

    • 617 Words
    • 3 Pages
    Improved Essays
  • Decent Essays

    On september 17,1589, He entered the university of tubingen, where he was particularly influenced by his professor of astronomy. He is now famous for Kepler’s laws of planetary motion.…

    • 86 Words
    • 1 Pages
    Decent Essays
  • Decent Essays

    Johan Kepler was born December 27th, in a town called Weil der Stadt. His father, Heinrich Kepler was murdered in combat when he was five years old. His mother, Katharina, who was an herbalist, also helped run his grandparents inn. As a child he had crippled hands, and eyesight damaged by smallpox. Regardless in his appearance, people were always surprised with his ability to solve anything involving numbers.…

    • 242 Words
    • 1 Pages
    Decent Essays
  • Decent Essays

    One of his accomplishments was the Fibonacci Sequence. The Fibonacci Sequence is a series of numbers where the last two numbers equal the next number. Like 1,1,2,3,5,8,13 and so on. You can calculate it by this formula, F(n) = (2/Ö5) {- [-2/(1-Ö5)]n / [1 - Ö5] +…

    • 291 Words
    • 2 Pages
    Decent Essays
  • Improved Essays

    This books publishing marked the high point of the Scientific Revolution. One of the most revolutionary theories of the Scientific…

    • 1292 Words
    • 6 Pages
    Improved Essays
  • Improved Essays

    Blaise Pascal was born on June 19, 1623, in Clermont-Ferrand, France and died in Paris on August 19, 1662. He was a French mathematician, physicist, inventor, writer and a Christian philosopher. He was also a child prodigy educated by his father. He invented the Pascaline, it is an early calculator, and he validated Torricelli's theory concerning the cause of barometrical variations in 1640s [11]. Blaise Pascal argued with Anslew, Aquinas, and Paley about the existence of God.…

    • 610 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    In 1662 he was made the professor of geometry of Gresham College." His earliest work was the Elements of Euclid.'' Isaac Barrow was most famous for being the first to find the integral of the secant function in closed form. He's been a teacher since 1662."He was a royal mandate in 1670.In 1657 he published an edition of data''. Isaac died in the 1677s.…

    • 245 Words
    • 1 Pages
    Improved Essays
  • Improved Essays

    olas Gurski Dr. John Hepp History 101 June 10, 2016 Sir Isaac Newton and his Involvement in the Scientific Revolution Sir Isaac Newton, a renowned scientist known for a multitude of discoveries and inventions, was a critical factor in the Scientific Revolution. Sir Isaac Newton may not have made his contributions to the scientific revolution “from scratch,” he instead used prior discovered knowledge and made his own improved hypotheses which he later proved through experimentation. The first of Sir Isaac Newton’s contributions to the scientific revolution was applying the laws of gravitational force discovered previously by Galileo to our solar system.…

    • 1241 Words
    • 5 Pages
    Improved Essays
  • Improved Essays

    Because of this idea, he ended up begging the chairman of mathematics at the University of Pisa for a job to continue his research. He got his dream job, and with it he found a new way to think of gravity, discovering that “the speed of fall of a…

    • 276 Words
    • 2 Pages
    Improved Essays
  • Improved Essays

    Euler worked to prove Newton’s identities, and theories from the mathematician. He not only had an interest in Mathematics, but also in astronomy. Euler worked on developing a theory of lunar motion. This involved the interactions of Sun, Moon, and Earth. Though we was interested in this, he was only successful at a partial solution which was published in 1753.…

    • 603 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Isaac Newton was one of the most influential scientists of the 17th-century and is now considered one of the most influential scientists of all time. He was born on January 4, 1643 to Hannah Ayscough Newton, in Woolsthorpe, England. Isaac Newton was a physicist and mathematician during the Scientific Revolution. He developed the principles of modern physics that are taught today.…

    • 423 Words
    • 2 Pages
    Improved Essays
  • Improved Essays

    Newton's mathematical genius had been stimulated in his early years at Cambridge by his work under Barrow, which included a thorough grounding in Greek mathematics as well as in the recent work of René Descartes and of John Wallis. During his undergraduate years Newton had discovered what is known as the binomial theorem; invention of the calculus had followed. (Encyclopedia of World Biography. Gale, 2004.) Mathematical questions had been treated at length in correspondence with scientists in England and abroad; and Newton’s contributions to optics and celestial mechanics could be said to be his mathematical formulation of their principles.…

    • 743 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Carlie Zeisler Mrs. Stetson Scientific Revolution Paper Johannes Kepler “The path of a planet around the sun is an ellipse, with the Sun as the focal point,” -Kepler's first law of planetary motion. The Scientific Revolution was the beginning of the scientific discoveries that have formed modern science. This period started during the end of the Renaissance and continued throughout the 18 century. Johannes Kepler was a major figure in this period, including the observations mentioned in his books as well as his study on Mars and planetary motion. Although Kepler was a very brilliant man, he didn’t exactly have an easy life.…

    • 509 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Antoine Lavoisier, a French scientist in the 1700’s, made the jump from qualitative to quantitative observations. He began to use the balance and the power of math rather than what can be seen by the naked eye. This paved the way for future scientists to predict elements and see trends. John Dalton came along in the 1800’s; he did research on atoms and came up with a theory to prove their existence. This was known as the atomic theory.…

    • 1159 Words
    • 5 Pages
    Improved Essays
  • Improved Essays

    This demonstrates the accuracy and validity of mathematics, even though it is impossible for Newton to witness, observe or sense the forces in the solar system, he managed to discover the elliptical orbit trend. Moreover, Newton used his sense experience when he saw an apple falling down from a tree, meaning the apple has a downward acceleration. He concluded that this downward motion of an object is associated to the mass of (“Newton's Law of Universal Gravitation.”), thus created a mathematical equation for his second law. Mathematical formulas help increasing the objectivity of his idea on the principle as it hides the subjectivity of sense perceptions. So, creating a shared knowledge which is recognized by the global…

    • 789 Words
    • 4 Pages
    Improved Essays