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Euclid: The Father of Geometry. By: Lauren Oreto. Euclid’s Origin. Born in Greece in 325 B.C. Family was wealthy Raised in Greece; as a grown man, resided in Alexandria, Egypt Graduated from Plato’s school in ancient Greece. The Elements. - PowerPoint PPT Presentation
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Euclid: The Father of Geometry
By: Lauren Oreto
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
The Elements• Basic Properties of
triangles, parallelograms, and circles
• Common Notions • Plane geometry• Solid Geometry• Number Theory
Basic Properties• Triangles- classified by their sides or angles
Basic Properties • Parallelogram- a quadrilateral with parallel
opposite sides; rectangles, squares & rhombuses
http://www.mathopenref.com/rhombus.html
Basic Properties• Circle- shape where the edges are the same
distance from the center all the way around
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.
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.
Solid Geometry• Shapes that exist in more than one dimension
(three dimensional geometry) • Deal with shapes like the cube, sphere, cylinder,
pyramid, etc.
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
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