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The practical use of trigonometry : The Egyptian pyramids

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by

Chark Chin

on 22 May 2015

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Transcript of The practical use of trigonometry : The Egyptian pyramids

Pyramid
What type of pyramid did the egyptians build?
The ancient pyramids were regular square pyramids, meaning all of the sides are equal and the base is a square.
What is seked and why was it used?
SEKED is the equivalent to our our modern expression COTANGENT(angle)
More practical in application than ANGLES
The ancient Egyptians did not use angles to measure the slope. They used SEKED
COTANGENT of an ANGLE = Base/Height
SEKED = Base/Height
Example
What is a pyramid?
A pyramid is a 3-dimensional representation of the triangle. The pyramid is a combination of multiple triangles together that form a 3-dimensional figure.
The practical use of trigonometry : The Egyptian pyramids
by: Chark Chin Andrew chen and Kenneth ho
This is what the pyramid would look like if it was cut in half:
Measurements of SEKED
The SEKED was based on the royal cubit (the forearm length of the Pharoah
1 cubit = 7 palms = 28 fingers
1 cubit =.0.52 meters
The HEIGHT and base are always expressed in CUBITS
The SEKED is always expressed in PALMS
SEKED = 1/2 x Base / Height
1) Seked = 1/2 x Base / height
2) Seked = 1/2 x 440 / 280
3) Seked = 220 / 280
4) Seked = ( 0.78571.. ) x 7
5) Seked = 5.5 palms
Angle = Cot^-1(220/280)
Pop Quiz
a) 1 cubits is equivalent to __ Palms.

B) The seked is always expressed in ___.

c) if the height of the pyramid is 143.5meters and the base is 215.25 meters express what is the seked?___?
How did the ancient egyptians build pyramids?
Using SEKED the egyptians were able to make every triangular side of the pyramid identical which made the structure stable and solid
Full transcript