Transformation of Euclid? Revisiting Geometry in Light of ...
Euclid: The Father of Geometry
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Transcript of Euclid: The Father of Geometry
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Euclid: The Father of Geometry
By: Lauren Oreto
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Euclid’s Origin• Born in Greece in 325 B.C.• Family was wealthy• Raised in Greece; as a grownman, resided in Alexandria, Egypt• Graduated from Plato’s schoolin ancient Greece
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The Elements• Basic Properties of
triangles, parallelograms, and circles
• Common Notions • Plane geometry• Solid Geometry• Number Theory
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Basic Properties• Triangles- classified by their sides or angles
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Basic Properties • Parallelogram- a quadrilateral with parallel
opposite sides; rectangles, squares & rhombuses
http://www.mathopenref.com/rhombus.html
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Basic Properties• Circle- shape where the edges are the same
distance from the center all the way around
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Common Notions• Things that are equal to
the same things are also equal to one another.
• If equals are added to equals, they are also equal.
• If equals are subtracted from equals, the remainders are equal.
• Things which coincide to one another are equal to one another.
• The whole is greater than the part.
If a=b and c=b, then a=c
2+6=8394+888=1,282
970-672=298
If triangles ABC and EGF can be placed on one another and AB and EG are congruent.
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Plane Geometry • Shapes on a flat surface; infinitely large but lie on
a flat sheet• Deal with flat shapes like triangles, hexagons,
squares, circles, etc.
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Solid Geometry• Shapes that exist in more than one dimension
(three dimensional geometry) • Deal with shapes like the cube, sphere, cylinder,
pyramid, etc.
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Number Theory Prime Numbers Composite Numbers
• Integer• Only divisible by 1 and
itself• Ex: 3, 5, 7, 11, 13
• Integer• Divisible by three or
more numbers• Ex: 2, 4, 6, 27, 100
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Biblography• Bose, Debopriya. "Biography of Euclid." Buzzle.com. Buzzle,
n.d. Web. 17 Sept. 2012. • Biography. “Euclid Biography.” biography.co.in. Word Press,
n.d. Web. 17 Sept. 2012.• “Types of Triangles.” basic-mathematics.com. Basic
Mathematics. n.d. Web. 17 Sept. 2012. • “Rhombus.” mathopenref.com. Math Open Reference. n.d.
Web. 17 Sept. 2012. • “Circle.” mathopenref.com. Math Open Reference. n.d. Web.
17 Sept. 2012. • “Introduction to Plane Geometry.” mathopenref.com. Math
Open Reference. n.d. Web. 17 Sept. 2012. • “Number Theory.” infoplease.com. Pearson Education. n.d.
Web. 17 Sept. 2012