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Euclid
Sierra Smith
Room#100-8th grade
,2014
Table Of Content
Slide 1 Pop Quiz
Slide 2 Childhood
Slide 3 Adulthood
Slide 4 Education
Slide 5 Life as a Mathematician
Slide 6 Facts about the theory of elements
Slide 7 Picture
Slide 8 Facts about his occupation
Slide 9 Connection
Slide 10 Additional Work
Continued of Table of Content
• Slide 11 Death and Legacy
• Slide 12 Pictures
• Slide 13 Contributions
• Slide 14 Did You Know Slide
• Slide15 Euclid Work
• Slide 16 Euclid Trivia
• Slide 17 Euclid Trivia Answers
• Slide18 Reference Page
• Slide19 The End
Pop Quiz
•What mathematical subject did Euclid
create?????
•Answer: Geometry
Childhood
Euclid was born 300-330 B.C in Alexandria, Egypt.
Euclid was kind, fair, and patient. Once, when a boy asked
him what’s the point of learning math, Euclid gave him a coin
and said, "He must make gain out of what he learns." Another
time, he was teaching a king. When the king asked if there
was an easier way to learn geometry Euclid said, "There is no
royal road to geometry." Then he sent the king to study.
Adulthood
Euclid of Alexandria, was a Greek mathematician, often referred
to as the "Father of Geometry". He was active in Alexandria during the
reign of Ptolemy I 323–283 BC. His Elements is one of the most
influential works in the history of mathematics, serving as the main
textbook for teaching mathematics (especially geometry) from the time
of its publication until the late 19th or early 20th century. In the
Elements, Euclid deduced the principles of what is now called Euclidean
geometry from a small set of axioms. Euclid also wrote works on
perspective, conic sections, spherical geometry, number theory and
rigor. "Euclid" is the anglicized version of the Greek name, meaning
"Good Glory".
Education
He attended Plato's Academy in Athens, he received his
mathematical training from students of Plato,
Life as a Mathematician
Euclid was known as the ‘Father of Geometry’. He discovered and gave
it its value, making it one of the most complex forms of mathematics at the
time. After moving to Alexandria, Euclid spent most of his time at the
Alexandria library, like many other eminent scholars who spent their time
there wisely. The museum was built by Ptolemy, which was central to
literature, arts and sciences. It was here that Euclid began developing
geometrical ideas, arithmetic’s, theories and irrational numbers into a section
called “geometry”. He began developing his theorems and collated it into a
colossal treatise called ‘The Elements’. During the course of his vaguely
known career, he developed 13 editions to the ‘Elements’ that covered a wide
spectrum of subjects ranging from axioms and statements to solid geometry
and algorithm concepts. Along with stating these various theories, he began
backing these ideas with methods and logical proof that would approve of
the statements.
Facts about the elements of theory
The Elements treat the theory of numbers and certain problems in
arithmetic on a geometric basis ,and solid geometry, including the five
regular polyhedral, or Platonic solids. Primary terms, such as point and line,
are defined; unproved assumptions, or postulates, regarding these terms
are stated; and a series of statements are then deduced logically from the
definitions and postulates. Although Euclid's system no longer satisfies
modern requirements of logical rigor, its importance in influencing the
direction and method of the development of mathematics is undisputed.
that his fifth postulate, equivalent to the statement that one and only one
line parallel to a given line can be drawn through a point external to the
line, can not be proved from the other postulates; on the contrary, by
substituting a different postulate for this parallel postulate two different
self-consistent forms of non-Euclidean geometry were deduced.
Euclid's construction of a regular
dodecahedron
Abraham Lincoln and Euclidean
connection
At age forty, Abraham Lincoln studied Euclid for
training in reasoning, and as a traveling lawyer on horseback,
kept a copy of Euclid's Elements in his saddlebag. In his
biography of Lincoln, his law partner Billy Herndon tells how
late at night Lincoln would lie on the floor studying Euclid's
geometry by lamplight. Lincoln's logical speeches and some of
his phrases such as "dedicated to the proposition" in the
Gettysburg address are attributed to his reading of Euclid.
Additional Works
Along with changing the face of mathematics permanently, Euclid also
had a wide range of other works that are still used and referred, to date.
These works were pure positions backed with solid proof and followed along
the lines and the structure of the ‘Elements’. He went on to study and
discover ‘Catoptrics’ which essentially stated the mathematical functions of
mirrors. Optics, ratios, data, and conics are some of his other reputed works
which are now lost with the mists of time. Euclid successfully completed
eight editions or books on the theorems related to conics, which failed to
exist through time. He also formed hypotheses and propositions based on
Mechanics and Loci. Most of these works were said to have been
complementary to each other, and it was suggested that these theories
developed actually stemmed from his famous works; the ‘Elements’. He also
came up with a set of Euclidian ‘Constructions’ that were basic tools needed
to produce geometric constructions.
Facts about his Occupation
His treatise consisted of over 467 propositions to plain and solid
geometry, proposes and adages that suggested and agreed to his
theories relating to his geometrical ideas writing the ‘Elements’. He
stated that ‘the equation was always true when it was the matter of
every right-angle triangle’. There was no end to Euclid’s geometry,
and he continued to develop theorems on various aspects of math
such as ‘prime numbers’ and other, basic ‘arithmetic’. With a series of
logical steps developed by Euclid, he believed in making the unknown
known to the world. The system that Euclid went on to describe in the
‘Elements’ was commonly known as the only form of geometry the
world had witnessed and seen up until the 19th century. However,
mathematicians of the modern era developed new theorems and ideas
pertaining to geometry and divided the subject to ‘Euclidean
Geometry’ and ‘Non-Euclidean Geometry’.
Death And Legacy
The year and reason behind Euclid’s death is unknown to
mankind. However, there have been vague appropriations that suggest
that he might have perished around 260 B.C. His legacy carried on for
200 centuries after his death and inspired personalities such as
Abraham Lincoln along the way. It is said that Lincoln would religiously
carry the ‘Elements’ with him wherever he would go, and would often
quote the genius of Euclid’s works in his speeches. Even after Euclid’s
death, Mathematicians continued to write theorems and his works
under his name. In all true sense, at a time when knowledge was
inaccessible to a majority of the world’s population, Euclid logically and
scientifically developed Mathematical formats of antiquity that are
known to the world as “Euclidian Geometry” today.
Pictures
Contributions
• During the time of Ptolemy I he taught mathematics in Alexandria,
Egypt, at the Alexandria library or "Museum", and that he wrote the
most enduring mathematical work of all time, the Elements, a
thirteen value work.
• The great contribution of Euclid was his use of a deductive system
for the presentation of mathematics.
Did You Know ????????????
• Did you know the elements sold more copies then the Bible
• Did you know Euclid made 13th books about elements
• Did you know Euclid nationality was Greek
• Did you know Geometry has been around for 2000 years
• Did you know that Euclid was one of the best Mathematicans.
Euclid Work
Euclid Trivia
• What was Euclid known as? Father of
Geometry
• What nationality was Euclid? Greek
• Who was inspired by Euclid? Abraham
Lincoln
• When was he born? 260 B.C
• What year did he die? 300-330 B.C
Answers
Reference Page
• Http://www.mathopenref.com/euclid.html
• http://www.britannica.com/EBchecked/topic/194880/Euclid
• https://en.wikipedia.org/wiki/Euclid
• Http://www-groups.dcs.st-and.ac.uk/history/Mathematicians/Euclid.html
• http://www.infoplease.com/encyclopedia/people/euclid-greek-
mathematician.html
The End

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Euclid

  • 2. Table Of Content Slide 1 Pop Quiz Slide 2 Childhood Slide 3 Adulthood Slide 4 Education Slide 5 Life as a Mathematician Slide 6 Facts about the theory of elements Slide 7 Picture Slide 8 Facts about his occupation Slide 9 Connection Slide 10 Additional Work
  • 3. Continued of Table of Content • Slide 11 Death and Legacy • Slide 12 Pictures • Slide 13 Contributions • Slide 14 Did You Know Slide • Slide15 Euclid Work • Slide 16 Euclid Trivia • Slide 17 Euclid Trivia Answers • Slide18 Reference Page • Slide19 The End
  • 4. Pop Quiz •What mathematical subject did Euclid create????? •Answer: Geometry
  • 5. Childhood Euclid was born 300-330 B.C in Alexandria, Egypt. Euclid was kind, fair, and patient. Once, when a boy asked him what’s the point of learning math, Euclid gave him a coin and said, "He must make gain out of what he learns." Another time, he was teaching a king. When the king asked if there was an easier way to learn geometry Euclid said, "There is no royal road to geometry." Then he sent the king to study.
  • 6. Adulthood Euclid of Alexandria, was a Greek mathematician, often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I 323–283 BC. His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. In the Elements, Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor. "Euclid" is the anglicized version of the Greek name, meaning "Good Glory".
  • 7. Education He attended Plato's Academy in Athens, he received his mathematical training from students of Plato,
  • 8. Life as a Mathematician Euclid was known as the ‘Father of Geometry’. He discovered and gave it its value, making it one of the most complex forms of mathematics at the time. After moving to Alexandria, Euclid spent most of his time at the Alexandria library, like many other eminent scholars who spent their time there wisely. The museum was built by Ptolemy, which was central to literature, arts and sciences. It was here that Euclid began developing geometrical ideas, arithmetic’s, theories and irrational numbers into a section called “geometry”. He began developing his theorems and collated it into a colossal treatise called ‘The Elements’. During the course of his vaguely known career, he developed 13 editions to the ‘Elements’ that covered a wide spectrum of subjects ranging from axioms and statements to solid geometry and algorithm concepts. Along with stating these various theories, he began backing these ideas with methods and logical proof that would approve of the statements.
  • 9. Facts about the elements of theory The Elements treat the theory of numbers and certain problems in arithmetic on a geometric basis ,and solid geometry, including the five regular polyhedral, or Platonic solids. Primary terms, such as point and line, are defined; unproved assumptions, or postulates, regarding these terms are stated; and a series of statements are then deduced logically from the definitions and postulates. Although Euclid's system no longer satisfies modern requirements of logical rigor, its importance in influencing the direction and method of the development of mathematics is undisputed. that his fifth postulate, equivalent to the statement that one and only one line parallel to a given line can be drawn through a point external to the line, can not be proved from the other postulates; on the contrary, by substituting a different postulate for this parallel postulate two different self-consistent forms of non-Euclidean geometry were deduced.
  • 10. Euclid's construction of a regular dodecahedron
  • 11. Abraham Lincoln and Euclidean connection At age forty, Abraham Lincoln studied Euclid for training in reasoning, and as a traveling lawyer on horseback, kept a copy of Euclid's Elements in his saddlebag. In his biography of Lincoln, his law partner Billy Herndon tells how late at night Lincoln would lie on the floor studying Euclid's geometry by lamplight. Lincoln's logical speeches and some of his phrases such as "dedicated to the proposition" in the Gettysburg address are attributed to his reading of Euclid.
  • 12. Additional Works Along with changing the face of mathematics permanently, Euclid also had a wide range of other works that are still used and referred, to date. These works were pure positions backed with solid proof and followed along the lines and the structure of the ‘Elements’. He went on to study and discover ‘Catoptrics’ which essentially stated the mathematical functions of mirrors. Optics, ratios, data, and conics are some of his other reputed works which are now lost with the mists of time. Euclid successfully completed eight editions or books on the theorems related to conics, which failed to exist through time. He also formed hypotheses and propositions based on Mechanics and Loci. Most of these works were said to have been complementary to each other, and it was suggested that these theories developed actually stemmed from his famous works; the ‘Elements’. He also came up with a set of Euclidian ‘Constructions’ that were basic tools needed to produce geometric constructions.
  • 13. Facts about his Occupation His treatise consisted of over 467 propositions to plain and solid geometry, proposes and adages that suggested and agreed to his theories relating to his geometrical ideas writing the ‘Elements’. He stated that ‘the equation was always true when it was the matter of every right-angle triangle’. There was no end to Euclid’s geometry, and he continued to develop theorems on various aspects of math such as ‘prime numbers’ and other, basic ‘arithmetic’. With a series of logical steps developed by Euclid, he believed in making the unknown known to the world. The system that Euclid went on to describe in the ‘Elements’ was commonly known as the only form of geometry the world had witnessed and seen up until the 19th century. However, mathematicians of the modern era developed new theorems and ideas pertaining to geometry and divided the subject to ‘Euclidean Geometry’ and ‘Non-Euclidean Geometry’.
  • 14. Death And Legacy The year and reason behind Euclid’s death is unknown to mankind. However, there have been vague appropriations that suggest that he might have perished around 260 B.C. His legacy carried on for 200 centuries after his death and inspired personalities such as Abraham Lincoln along the way. It is said that Lincoln would religiously carry the ‘Elements’ with him wherever he would go, and would often quote the genius of Euclid’s works in his speeches. Even after Euclid’s death, Mathematicians continued to write theorems and his works under his name. In all true sense, at a time when knowledge was inaccessible to a majority of the world’s population, Euclid logically and scientifically developed Mathematical formats of antiquity that are known to the world as “Euclidian Geometry” today.
  • 16. Contributions • During the time of Ptolemy I he taught mathematics in Alexandria, Egypt, at the Alexandria library or "Museum", and that he wrote the most enduring mathematical work of all time, the Elements, a thirteen value work. • The great contribution of Euclid was his use of a deductive system for the presentation of mathematics.
  • 17. Did You Know ???????????? • Did you know the elements sold more copies then the Bible • Did you know Euclid made 13th books about elements • Did you know Euclid nationality was Greek • Did you know Geometry has been around for 2000 years • Did you know that Euclid was one of the best Mathematicans.
  • 19. Euclid Trivia • What was Euclid known as? Father of Geometry • What nationality was Euclid? Greek • Who was inspired by Euclid? Abraham Lincoln • When was he born? 260 B.C • What year did he die? 300-330 B.C
  • 21. Reference Page • Http://www.mathopenref.com/euclid.html • http://www.britannica.com/EBchecked/topic/194880/Euclid • https://en.wikipedia.org/wiki/Euclid • Http://www-groups.dcs.st-and.ac.uk/history/Mathematicians/Euclid.html • http://www.infoplease.com/encyclopedia/people/euclid-greek- mathematician.html