Pythagorean theorem - перевод на итальянский
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Pythagorean theorem - перевод на итальянский


Pythagorean theorem         
  • Rearrangement proof of the Pythagorean theorem.<br>(The area of the white space remains constant throughout the translation rearrangement of the triangles.  At all moments in time, the area is always '''''c²'''''.  And likewise, at all moments in time, the area is always '''''a²+b²'''''.)
  • Geometric proof of the Pythagorean theorem from the ''[[Zhoubi Suanjing]]''
  • The absolute value of a complex number ''z'' is the distance ''r'' from ''z'' to the origin.
  • '''a × b'''}} is normal to this plane.
  • Right triangle on the hypotenuse dissected into two similar right triangles on the legs, according to Einstein's proof.
  • The [[spiral of Theodorus]]: A construction for line segments with lengths whose ratios are the square root of a positive integer
  • [[Hyperbolic triangle]]
  • Proof in Euclid's ''Elements''
  • Illustration including the new lines
  • Showing the two congruent triangles of half the area of rectangle BDLK and square BAGF
  • (r<sub>2</sub>, θ<sub>2</sub>)}} in [[polar coordinates]] is given by the [[law of cosines]]. Interior angle Δθ = θ<sub>1</sub>−θ<sub>2</sub>.
  • Distance between infinitesimally separated points in [[Cartesian coordinates]] (top) and [[polar coordinates]] (bottom), as given by Pythagoras' theorem
  • Vectors involved in the parallelogram law
  • p=36}}.</ref>
  • Animation showing proof by rearrangement of four identical right triangles
  • Diagram for differential proof
  • Animation showing another proof by rearrangement
  • Pythagoras' theorem in three dimensions relates the diagonal AD to the three sides.
  • Diagram of the two algebraic proofs
  • A + B {{=}} blue}} area C
  • Generalization for regular pentagons
  • Pythagoras' theorem using similar right triangles
  • Construction for proof of parallelogram generalization
  • area {{=}} blue}} area
  • Proof using similar triangles
  • Proof using an elaborate rearrangement
  • A tetrahedron with outward facing right-angle corner
  • Spherical triangle
  • Similar right triangles showing sine and cosine of angle θ
  • publisher=Mathematical Association of America}}

</ref> Lower panel: reflection of triangle CAD (top) to form triangle DAC, similar to triangle ABC (top).
  • Visual proof of the Pythagorean theorem by area-preserving shearing
RELATION IN EUCLIDEAN GEOMETRY AMONG THE THREE SIDES OF A RIGHT TRIANGLE
PythagoreanTheorem; Pythagorean Theorm; Pythagoras' Theorem; Pythagoras' theorem; Pythagorean Theorem; Pythagoras theorem; Pythagorean Theorum; Pythagoras' Theorem Proof; Pythagoras's Law; Pythagoras’ theorem; Pythagoras’ Theorem; Pythagorean theorum; Pythagorean equation; A² + b² = c²; A²+b²=c²; A2 + b2 = c2; A2+b2=c2; Pythagoras's theorem; Pythagorus's theorem; Pythagorus's theorum; Pythagoras's theorum; The Pythagorean theorem; Pythagorus' theorum; Pythagoras theory; Pythagorean Thm; Theorem of Pythagoras; 47th Problem of Euclid; Pythagorean theorem proof; Pythagoras Theorem; A^2+b^2=c^2; Pyth. thm; Pyth. theorem; Converse of Pyth. thm; Converse of Pyth. theorem; Pythagorean formula; Pythagorean theory; Gougu theorem; Gougu; Pythagoras' law; Gougu's Theorem; Generalizations of the Pythagorean theorem
teorema di Pitagora
binomial theorem         
ALGEBRAIC EXPANSION OF POWERS OF A BINOMIAL
Binomial expansion; Binomial Theorem; Newton's binomial theorem; Binomial expansion theorem; Binomial expansions; Binomial formula; Binomial theory; Catalon series; Multi-binomial theorem; Negative binomial theorem; Generation of binomial series using calculus; Newton's generalized binomial theorem
n. teorema binomiale
inscribed angle         
  • Animated gif of proof of the inscribed angle theorem. The large triangle that is inscribed in the circle gets subdivided into three smaller triangles, all of which are isosceles because their upper two sides are radii of the circle. Inside each isosceles triangle the pair of base angles are equal to each other, and are half of 180° minus the apex angle at the circle's center. Adding up these isosceles base angles yields the theorem, namely that the inscribed angle, <math> \psi </math>, is half the central angle, <math> \theta </math>.
  • For fixed points ''A'' and ''B'', the set of points ''M'' in the plane for which the angle ''AMB'' is equal to&nbsp;''&alpha;'' is an arc of a circle. The measure of ∠ ''AOB'', where ''O'' is the center of the circle, is&nbsp;2''&alpha;''.
  • Case: One chord is a diameter
  • Case: Center interior to angle
ANGLE FORMED IN THE INTERIOR OF A CIRCLE
Inscribed angle theorem
angolo in un cerchio

Википедия

Pythagorean theorem