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.

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Presentation transcript:

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 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

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= =1, =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 NumbersComposite 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 Biography. “Euclid Biography.” biography.co.in. Word Press, n.d. Web. 17 Sept “Types of Triangles.” basic-mathematics.com. Basic Mathematics. n.d. Web. 17 Sept “Rhombus.” mathopenref.com. Math Open Reference. n.d. Web. 17 Sept “Circle.” mathopenref.com. Math Open Reference. n.d. Web. 17 Sept “Introduction to Plane Geometry.” mathopenref.com. Math Open Reference. n.d. Web. 17 Sept “Number Theory.” infoplease.com. Pearson Education. n.d. Web. 17 Sept. 2012