What the importance of studying in theorem Bernoulli in civil engineering?
what the importance of studying in theorem Bernoulli in civil engineering
By definition, a theorem is a proven statement- until a proof is made for a statement, it is not a theorem but rather a conjecture. Whether you need to be able to reproduce the proof of a known theorem is another matter. If you trust the prover, I think you can make use of a theorem without knowing the proof. However, studying the proof can give you valuable insights into what the theorem really means…
It doesn't prove anything. A "theorem" is a statement that tells how things work. The Pythagorean theorem tells how the relationship between the lengths of the sides of a right triangle works. Sounds pretty dry, I know; but it's fantastically useful. Every branch of science, engineering, carpentry, plumbing, and real estate uses it every day.
James A. Garfield, the twentieth president of the United States, discovered an original proof of the Pythagorean theorem. The proof is algebraic in nature and uses the formula for the area of a trapezoid. See the link below for details. Garfield is credited with an original proof of this famous theorem. Many of the presidents undoubtedly proved it in geometry class after studying their books.
There are 19 various aspects of Pythagoras theorem. Pythagorean Theorem (1) Pythagoras Theorem(2) Pythagorean Theorem (3) Pythagorean Theorem (4) Pythagoras Theorem(5) Pythagorean Theorem(6) Pythagrean Theorem(7) Pythagoras Theorem(8) Pythagorean Theorem (9) Hyppocrates' lunar Minimum Distance Shortest Distance Quadrangular Pyramid (1) Quadrangular Pyramid (2) Origami Two Poles Pythagoras Tree(1) Pythagoras Tree(2) Theorem by Pappus
Your knowledge in geometry would be a big help in studying trigonometry, because trigonmetry involves the ratio of the sides of a right triangle, something that is underpinned by geometry. The pythagorean theorem is crucial here. Also, the angles are important, and that is also underpinned by geometry.