Who Actually Discovered the Formula for the Area of a Triangle?

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Discussion Overview

The discussion revolves around the historical attribution of the formula for the area of a triangle, specifically debating whether Archimedes or Heron was the first to discover it. Participants explore historical references and interpretations related to this mathematical concept.

Discussion Character

  • Debate/contested
  • Historical

Main Points Raised

  • Greg asserts that Heron did not discover the formula for the area of a triangle and claims that Archimedes was the first to do so around 250 B.C. while studying properties of circles.
  • Another participant challenges Greg's assertion by referencing a webpage from the University of British Columbia that attributes the formula to Archimedes, emphasizing that Heron did not discover it first.
  • A different participant suggests that initial online research points to Heron as the first, citing a specific webpage that mentions both Archimedes and Heron, but concludes that Heron is the correct answer based on the phrasing of the question.
  • One participant expresses a desire for philosophical and logical puzzles to be included in the discussion, indicating a broader interest in problem-solving beyond historical claims.

Areas of Agreement / Disagreement

Participants do not reach a consensus on who first discovered the formula for the area of a triangle, with multiple competing views presented regarding the contributions of Archimedes and Heron.

Contextual Notes

The discussion highlights the ambiguity in historical attributions and the reliance on varying interpretations of sources, which may lack definitive proof regarding the order of discovery.

Shark
Greg - You gave someone else the point for saying Heron - but Heron did not discover the formula for the area of a triangle.

Heron's name is indeed imbedded in the formula name, but he was not the first.

Archimededes, in about the year 250 B.C., was working on the properties of the circle, and was investigating the number pi.

In his process he created the formula for the area of a triangle which helped him in his understanding of circles - as is witnessed by calculus properties of the circle and trig functions.
 
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I am not trying to start an argument...

..Greg's response was there was no proof Archimedes did it.

Greg, I urge you to see the following page:

http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/integration/archimedes.html

This page is from the university of mathetmatics of British Columbia.

They attribute it to Archimedes.

I am not going to attempt to take credit - I do however want you and others to understand that Heron did NOT discover the formula first.
 
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Also - I could provide you with some VERY challenging simple answer questions.
 
I'm not going to pass judgments until I dissect this question, so let's do it here:

"Who discovered the formula for finding the area of a triangle?"

-Initial Research Hit @ Google under "first formula of area of triangle"

Hit titles suggest Heron...We enter one website...

http://www.mathpages.com/home/kmath196.htm

-When at web page you hit Crtl F, and type "Heron" - Scan the sentence with that name.

We've hit a jackpot, as the sentence incorporates the two figures in question:

"For example, some people think it was known to
Archimedes. However, the first definite reference we have to this
formula is Heron's."

Based on the fact that many search hits immediately brought up the name Heron and that also this sentence suggests Heron is the correct answer, we can make our preliminary post as Heron being the first.

The only flaw I see in this question is its wording - something to the extent of "first definite" would have made things clearer. However, with deduction we can make the educated guess that the person making the question inferred that Heron was the right answer.
 
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greg, you should also have philosophical questions, like riddles.

and logical puzzles like the one i posted here a while back entitled "the hardest puzzle"
 

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