Pythagoras$65905$ - перевод на итальянский
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Pythagoras$65905$ - перевод на итальянский

LUNAR IMPACT CRATER
Pythagoras crater
  • Pythagoras crater and closer craters
  • [[Lunar Orbiter 4]] image<br>(four light spots are blemishes on original)

Pythagoras      
n. (Stor; gr) Pitagora
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
multiplication table         
  • "Table of Pythagoras" on [[Napier's bones]]<ref>[[Wikisource:Page:Popular Science Monthly Volume 26.djvu/467]]</ref>
  • The [[Tsinghua Bamboo Slips]], Chinese [[Warring States]] era decimal multiplication table of 305&nbsp;BC
MATHEMATICAL TABLE
Times table; Times tables; Tables of multiplication; Multiplication tables; Multiplication Table; Table of Pythagoras; Draft:Division Table
tavola pitagorica

Определение

Pythagoras
<person> (Pythagoras of Samos, Ionia; about 569-475 BC) The Greek mathematician who founded a philosophical and religious school in Croton (now Crotone) in southern Italy. Pythagoras is most famous for Pythagoras's Theorem but other important postulates are attributed to him, e.g. the sum of the angles of a triangle is equal to two right angles. (2004-02-12)

Википедия

Pythagoras (crater)

Pythagoras is a prominent impact crater located near the northwestern limb of the Moon. It lies just to the northwest of the somewhat larger Babbage. The crater has an oval appearance due to the oblique viewing angle. Only the western face of the interior can be viewed from the Earth, the other side being permanently out of sight.

The well-preserved rim of Pythagoras has a wide terrace system, and a slight rampart around the exterior. Although generally circular, the crater outline has a hexagonal form. The floor is flattened, but with an irregular, hilly surface. There is evidence of landslips around the periphery. In the center is a sharp, mountainous rise with a double peak that ascends 1.5 kilometers above the crater floor.