euclid: the father of geometry by: lauren oreto. euclid’s origin born in greece in 325 b.c. family...

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