# What are the contributions by heron in the field of mathematics?

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Not much good
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Here are some of the books that he wrote:

Baroulkos

Berlopoeica (in Greek and Roman Artillery, Technical Treatises, 1971)

Catoptrica (in Latin)

Chieroballistra (in Greek and Roman Artillery; Technical Treatises, 1971)

Definitions?

Dioptra (partical English translation, 1963)

Eutocuis

Geometrica?

Mechanica (3 volumes, in Arabic)

Metrica (3 volumes)

Peri Automatopoitikes (Automata, 1971)

Peri Metron (also called Mensurae)

Pneumatica (2 volumes: The Pneumatica of Hero Of Alexandria, 1851)

Stereometrica

As you can tell, his works ranged from Greek to Latin to Egyptian. Something interesting about one of his books, Metrica is it was lost until the end of the century. Scholars knew of its existence only threw one of his other books, Eutocuis. In 1894, historian Paul Tannery discovered a fragment of the book in Paris. In 1896, R. Schone in Constanitinpole found a copy. That is how Metrica was found. This book is the most famous book that Hero wrote. It consists of 3 books, which calculate area and volume, and their divisions.

Not only did Hero write books he is also famous for find the formula of the area of a triangle. Well finding the area of the triangle is not the only thing that he did, he also figured out the area of an orbitary quadrilaterial, and the area of a cyclic quadrilateral.

The first and most famous formula is the area of a triangle. The formula of a triangle may be Archimedes?s (the famous Greek inventor, but its presentation and popularization is credited to Hero. The formula is:

? A=the square-root of s(s-a)(s-b)(s-c)

The area (A) of the triangle can be computed if you know the length of one side of the triangle (a,b,c). The perimeter (2s) of the triangle is ?a+b+c? with being the semiperimter.

The second formula that Hero came up with is useful for determining the area of an orbitary quadrilateral. The formula is:

? A=the square-root of (s-a)(s-b)(s-c)(s-d)-abcd cos to the second o?

This means a, b, c, and d are the sides of the quadrilateral, 2s is the perimeter (a + b + c + d), and o is half of the sum of 2 opposite angles.

The third formula is the area of a cyclic quadrilateral (which means a quadrilateral can be inscribed in a circle. The formula is:

? ? A= the square-root of (s-a)(s-b)(s-c)(s-d)

Which means the A can be found from the length of the sides of he quadrilateral, where 2s is the perimeter, s is semiperimeter, and a, b, c, and d are the four sides.
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Helps in calculating area of triangle
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Architects use these technique because sometimes they are given irregular laminas or shape which can be made by groups of triangles and to find their area they use Heron's formulae.
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The side of a triangle area in the ratio 5 ratio 12 ratio 13 and its perimeter is 150 M find the area of a triangle
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Sorry if am not correct!

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How
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wow
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A square and equilateral triangle has equal perimeter , if diagnol of square is 12root2 cm find the area of triangle
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salla
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Heron's Formulae
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Heron , a greek mathematician had dealt with geometrical problems , mensuration written in three books and he has also derived the famous heron's formula . He had done a lot more which are innumerable
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the formula to find area of triangle rrot of s(s-a)(s-b)(s-c)

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he is the father of maths. he intro. the formula of herons
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Hmm....
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Wow
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HERON IS GREAT MATHEMATICIAN WHO GAVE US HERON FORMULA WHICH IS {S(S-A)(S-B)(S-C)}1/2
WHERE S= PERIMETER OF TRIANGLE/2
A,B,C ARE THE SIDE OF TRIANGLE.
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THE SIDE OF  A TRIANGLE AREA IN THE RATIO 5 RATIO 12 RATIO 13 AND ITS PERIMETER IS 150 M FIND AREA OF TRIANGLE
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He give the heron formula
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He gave Heron's formula
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he has found the herons formula and has done many contributions towards the field of mathematics
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He specialized in the field of mechanics mathematics and physics representing the work of the hellenistic tradition in science . the vending machine was the brainchild of heron; the idea of inserting a coin in a machine for it to perform a certain function was mentioned in a book mechanics and optics.

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One of the important formulas heron discovered was the formula used to find area of a triangle when it's sides are given

sides are a, b , and c
semi perimeter = S=(a+b+c)/2

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Area =?(s(s-a)(s-b)(s-c))
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To find out area
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HERON'S FORMULLA
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it gives heroines formula
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The contribution of Heron's field in Mathematics are :-
i) Calculating the area of the triangle when the sides are not given
ii) Calculating the area of the quadrilateral when the length of the sides are given
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The herons formula :-
? s ( s - a ) ( s - b ) ( s - c )
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SMS Sir
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His sir
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abhi thak nhi aya
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He gave the famous Heron Formula for finding the area of a triangle.
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Heron , a greek mathematician had dealt with geometrical problems , mensuration written in three books and he has also derived the famous heron's formula . He had done a lot more which are innumerable
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