Examples of using The pythagorean theorem in English and their translations into Hindi
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He even taught me the Pythagorean theorem.
The Pythagorean theorem is one of the earliest theorems. .
I wish I learned this instead of the Pythagorean theorem.
By the Pythagorean theorem, it follows that the hypotenuse of this triangle also has length c.
There is much debate on whether the Pythagorean theorem was discovered once or many times.
First, you forget everything you learned- the dates of the Hay-Herran Treaty and the Pythagorean theorem.
In Euclid's Elements, Proposition 47 of Book 1, the Pythagorean theorem is proved by an argument along the following lines.
If you can't get anyone to listen to you explain the Pythagorean Theorem, why not teach a class of stuffed animals!
The Pythagorean theorem tells us that the hypotenuse of the first triangle must be the square root of 2, because each side has a value of 1 and 1 squared is still 1.
Given two vectors v andw in a complex inner product space, the Pythagorean theorem takes the following form.
Like most of the proofs of the Pythagorean theorem, this one is based on the proportionality of the sides of two similar triangles.
For example, both the Egyptians and the Babylonians were aware of versions of the Pythagorean theorem about 1500 years before Pythagoras;
He's like,"I cross over using the Pythagorean theorem, A square plus B square equals C square, and I spin around the defender with the circumference of radius of Pi.
However, since all the fundamental trigonometric identities are proved using the Pythagorean theorem, there cannot be any trigonometric proof.
This book included many problems where geometry was applied, such as finding surface areas for squares and circles, the volumes of solids in various three-dimensional shapes,and included the use of the Pythagorean theorem.
Nair, who was ISRO chairman from 2003 to 2009, also claimed geometry was used to makecalculations for building cities during the Harappan civilisation and that the Pythagorean theorem also existed since the Vedic period.
Another important contributionThabit made to geometry was his generalization of the Pythagorean theorem, which he extended from special right triangles to all triangles in general, along with a general proof.
By using the Maclaurin series for this function, it can be shown that as a hyperbolic triangle becomes very small(i.e., as a, b, andc all approach zero), the hyperbolic form of the Pythagorean theorem approaches the Euclidean form.
Right triangles obey the Pythagorean theorem: the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse: a2+ b2 c2, where a and b are the lengths of the legs and c is the length of the hypotenuse.
His parents subsequently bought him textbooks towards this end and, in one summer, he mastered both subjects, while coming up with his own proofs to provethe various mathematical theories he was studying, including his own way to prove the Pythagorean Theorem.
According to(Hayashi 2005, pp. 363),the Śulba Sūtras contain"the earliest extant verbal expression of the Pythagorean Theorem in the world, although it had already been known to the Old Babylonians.
Take, for example, the Pythagorean Theorem: what seems to be more informative, vivid and therefore easier to comprehend: the fact that the square of the longest side of a right-angled triangle is equal to the sum of squares of the other two sides, or this treat of a descriptive gif?
A substantial generalization of the Pythagorean theorem to three dimensions is de Gua's theorem, named for Jean Paul de Gua de Malves: If a tetrahedron has a right angle corner(like a corner of a cube), then the square of the area of the face opposite the right angle corner is the sum of the squares of the areas of the other three faces.
This theorem may have more known proofs than any other(the law of quadratic reciprocity being another contender for that distinction); the book The Pythagorean Proposition contains 370 proofs.
If you use this to generate the distance between two points in space,you will be returned the familiar Pythagorean theorem: a^2+ b^2= c^2(note that this is the 2-dimensional version of the theorem; it can be generalized in the obvious way to any dimension of Euclidean space).
Pythagorean Theorem(more than 70 proofs from cut-the-knot).
When θ is 90 degrees(π/2 radians), then cosθ 0,and the formula reduces to the usual Pythagorean theorem.