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Mathematics in our World
                                                                                                         10


                           C. Golden Ratio in
                                Arts


                        Golden  Ratio  shows  beauty,

                 balance    and    harmony     in    art,     Fragment of Euclid Book                                 Pentagrams

                 architecture and  design.
                                                                    Leonardo di ser Piero da Vinci (1452 -
                        Phidias (490 BC - 430 BC) widely
                                                             1519) or known as Leonardo da Vinci was
                 used  the  golden  ratio  in  his  works  of
                                                             into invention, painting, sculpting, architecture,
                 sculpture. The exterior dimension of the
                                                             science,  music,  mathematics,  engineering,
                 Parthenon     in    Athens,    Greece
                                                             literature,  anatomy,  geology,  astronomy,
                 embodies the golden ratio.
                                                             botany, writing, history, and cartography.










                                  Parthenon                        The Last Supper           Vitruvian Man        Monalisa         St. Jerome



                        In “Timaeus” Plato (428 BC - 347            Michelangelo di Lodovico Simon (1475
                 BC)  describes  five  possible  regular     -  1564)  or  known  as  Michelangelo  was  a
                 solids that relate to the golden ratio. He   painter, architect, poet, and engineer from the

                 also considers the golden section to be     Renaissance. He was considered the greatest
                                                               n
                                                              v

                                                                g
                 the     most      binding     of    all                   artist of his time.
                                                             l
                                                             i
                                                               i
                 mathematical relationships.





                                                                            The Creation of Adam



                        Euclid  was  the  first  to  give

                 definition  of  the  golden  ratio  as  “a

                 dividing line in the extreme and mean

                 ratio”  in  his  book  the  “Elements.”  He

                 proved  the  link  of  the  number  to  the                   Holy Family

                 construction  of  the  pentagram,  known

                 as golden ratio.






                ZANNIE I. GAMUYAO, MSM
                Assistant Professor 1                              UNIT 1.2 The Fibonacci Sequence
                Department of Arts and Sciences
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