Golden Section and Golden rule - in search of absolute truth

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Golden Section and Golden rule - in search of absolute truth

  1. 1. The work on the project « The S ecret of The G old en S ection» Creative works of students
  2. 2. <ul><li>Many generations of philosophers have been searching for « absolute truth » , which has been interpreted as some universal standard. </li></ul><ul><li>Platon </li></ul><ul><li>Leonardo da Vinci Pythagoras </li></ul>
  3. 3. <ul><li>In the definite historical period, Pythagoras was considered the founder of this search (6th century B.C.). </li></ul><ul><li>He was the first to bring the </li></ul><ul><li>definition of harmony into </li></ul><ul><li>humans’ use, which helped </li></ul><ul><li>to designate optional correlation </li></ul><ul><li>Of the parts and the whole. </li></ul>
  4. 4. a : b = b : c или с : b = b : а It was stipulated to divide a segment of a straight line into two unequal parts.
  5. 5. <ul><li>Just three centuries later, an </li></ul><ul><li>Alexandrian mathematician and a follower of Pythagoras school Euclid described a geometrical way of harmonic division in his monumental work « The Elements » </li></ul>
  6. 6. <ul><li>In Europe it became known only in 1202 due to the works of the great Renaissance </li></ul><ul><li>mathematician Fibonacci. </li></ul><ul><li>In his book ‘Liber Abaci’, he described a number line consequently called </li></ul><ul><li>Fibonacci’s Line : </li></ul><ul><li>1,1,2,3,5,8,13,21,34,55,89,144 … </li></ul>
  7. 7. <ul><li>The number equal to the sum of the two previous ones correlates to the bigger of the numbers so as a big number correlates to the smaller one. </li></ul>144 : 89 = 89 : 55 = 1,618
  8. 8. Being a great artist and a talented mathematician and engineer, Leonardo noticed the correlation between some separate parts of a human body and many of these correlations are similar to those of divided segments.
  9. 9. <ul><li>His contemporary </li></ul><ul><li>Lucas Pacioli called </li></ul><ul><li>the correlation </li></ul><ul><li>« The Divine proportion » </li></ul><ul><li>and his book </li></ul><ul><li>« De Divina Proportione » </li></ul><ul><li>published in 1509 was </li></ul><ul><li>devoted to his investigation. </li></ul>Here it is, tangible and exact, put in numbers beauty measure!
  10. 10. <ul><li>The mathematical standard of harmony and the artistic standard of beauty have been united into a single unit – the Golden Proportion. </li></ul>
  11. 11. <ul><li>What can we say about searching for the universal truth in the sphere of human relations and in the sphere of ethics, esthetics and morality ? </li></ul>
  12. 12. <ul><li>There is a well-known moral thesis which was called Jesus Christ’s Golden Rule goes as follows: </li></ul><ul><li>« Treat people the way you would like to be treated » . </li></ul>
  13. 13. <ul><li>The Golden Rule can estimate objective social relations in every aspect of life, from interpersonal to international ones. </li></ul>
  14. 14. <ul><li>Obviously, the application of The Golden Section and the Golden Rule principles will be the basis for harmonic development of humankind! </li></ul>

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