Heron

1. FINDING -A Heron of Alexandria

2. Heron of Alexandria Heron of Alexandria was an ancient Greek mathematician and engineer who was active in his native city of Alexandria , Roman Egypt . He lived between the 1 st century B C and the 1 st century AD . He is considered the greatest experimenter of antiquity and his work is representative of the Hellenistic scientific tradition .

3. Heron published a well recognized description of a steam-powered device called an aeolipile (hence sometimes called a "Heron engine"). Among his most famous inventions was a windwheel , constituting the earliest instance of wind harnessing on land. Some of his ideas were derived from the works of Ctesibius .

4. Heron described a method of iteratively computing the square root. Today, though, his name is most closely associated with Heron's Formula for finding the area of a triangle from its side lengths. The imaginary number, or imaginary unit, is also noted to have been first observed by Heron while calculating the volume of a pyramidal frustum.

5. Heron’s formula S = half-perimeter A= Area

6. Exercise: a= 3 b= 4 c= 5 Find the triangle’s Area.

7. Solution: Classic Heron's Formula: s = (a+b+c)/2 = (3+4+5)/2= 6 Area = √( s(s-a)(s-b)(s-c) ) = √( 6(6-3)(6-4)(6-5) ) = =√ 6*3*2*1= √ 36= 6

8. FINDING -A the end