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Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when...

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Eucl id Haley, Casey, & Mason H. Father of Geometry
Transcript
Page 1: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Euclid

Haley,Casey,

&Mason H.

Father of Geometry

Page 2: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Interesting Facts

• Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Page 3: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Euclid of Alexandria was a Greek

mathematician.

He is responsible for obtuse and acute angles, planes, lines,

segments, rays, etc.

He is responsible for the geometric rules we follow today.

Page 4: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Euclid’s

Postulates

Page 5: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Number 1

Page 6: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

 A straight line segment can be drawn by joining any two points

Page 7: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

E X A M P L E

N U M B E R O N E

Page 8: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Number 2

Page 9: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

E X A M P L E

N U M B E R T W O

Page 10: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Any straight line segment can be

extended indefinitely in a

straight line

Page 11: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Number 3

Page 12: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Given any straight line segment, a circle can be drawn with the segment

as the radius, and an endpoint as the center.

Page 13: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

E X A M P L E

N U M B E R T H R E E

Page 14: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Number 4

Page 15: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

All right angles are congruent.

Page 16: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

E X A M P L

E

N U M B E R F O U R

Page 17: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

Number 5(The parallel postulate)

Page 18: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

If two lines intersect a third so that the inner

angles on one side equal less than

two right angles, then the two lines

must intersect each other eventually.

Page 19: Interesting Facts Nobody knows anything about Euclid’s life or death other than that he lived when Ptolemy ruled.

EXAMPLE

N U M B E R F I V E


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