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Eli Maor
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ISBN 0-691-09541-8. Ebook version, in PDF format, full text presented. The Pythagorean Theorem: A 4,000-Year History, 2007, Princeton University Press, ISBN 978-0-691-12526-8Weyl's tile argument (495 words) [view diff] exact match in snippet view article find links to article

Pythagoras' theorem on a discrete space cannot be defined and, since the Pythagorean theorem has been confirmed to be approximately true in nature, physical spaceAttack Vector: Tactical (607 words) [view diff] case mismatch in snippet view article find links to article

thrust, the Range/Angle Lookup Table (RALT), which is a table of the Pythagorean Theorem that's been color-coded to reflect bearing angles used by the AVIDRichard Kadison (926 words) [view diff] case mismatch in snippet view article find links to article

1321358111. PMC 3926033. PMID 24469831. Kadison, R. V. (2002). "The Pythagorean Theorem: II. The infinite discrete case". Proc Natl Acad Sci U S A. 99 (8):1731 in science (446 words) [view diff] case mismatch in snippet view article find links to article

Taylor, English mathematician (born 1685) Maor, Eli (2019), The Pythagorean Theorem: A 4,000-Year History, Princeton University Press, pp. 133–134,Harvey Jerome Brudner (2,070 words) [view diff] exact match in snippet view article find links to article

Babylonian clay tablet has been solved! How did the Babylonians know the Pythagorean theorem a thousand years before the Greek mathematician and philosopher wasPrinceton Science Library (686 words) [view diff] case mismatch in snippet view article find links to article

and Philosophers: How Morality Evolved by Frans de Waal (2006) The Pythagorean Theorem: A 4,000-Year History by Eli Maor (2007) Dr. Euler's Fabulous Formula:Schur–Horn theorem (2,196 words) [view diff] case mismatch in snippet view article find links to article

statement of the Schur–Horn theorem. Kadison, R. V., Lemma 5, The Pythagorean Theorem: I. The finite case, Proc. Natl. Acad. Sci. USA, vol. 99 no. 7 (2002):4178–4184Circular segment (841 words) [view diff] exact match in snippet view article find links to article

fundamental relationship between R, c, and h derivable directly from the Pythagorean theorem among R, C/2 and r-h components of a right-angled triangle is: RWang Zhenyi (astronomer) (1,469 words) [view diff] exact match in snippet view article

mastered trigonometry and knew the Pythagorean theorem. She wrote an article called "The Explanation of the Pythagorean Theorem and Trigonometry," where sheTimeline of mathematical innovation in South and West Asia (1,766 words) [view diff] case mismatch in snippet view article find links to article

Pythagorean Theorem: According to (Hayashi 2005, p. 363), the Śulba Sūtras contain "the earliest extant verbal expression of the Pythagorean Theorem inClay Davenport (1,199 words) [view diff] case mismatch in snippet view article find links to article

Davenport and Keith Woolner, "Revisiting the Pythagorean Theorem: Putting Bill James' Pythagorean Theorem to the Test", BaseballProspectus.com, June 30Kim Young-chul (comedian) (272 words) [view diff] case mismatch in snippet view article

Gazing MBC TV Regular Member 2015 King of Mask Singer Contestant as "Pythagorean Theorem" in episode 23 Idol Star Athletics Championships 2015–2016 Real MenEighth grade (1,964 words) [view diff] case mismatch in snippet view article find links to article

translations, congruence, rotations, reflections, similarity Apply the Pythagorean Theorem to find distance between points on the coordinate plain, find lengthsMeanings of minor planet names: 226001–227000 (373 words) [view diff] case mismatch in snippet view article find links to article

Infinity and Beyond (1991), e: The Story of a Number (1994) and The Pythagorean Theorem: A 4,000 Year History (2007). To sky watchers, he is best known forCircle of a sphere (750 words) [view diff] exact match in snippet view article find links to article

the sphere, and the distance from the plane of the small circle to C, the radius of the small circle can be determined using the Pythagorean theorem.Jeremy Kahn (552 words) [view diff] case mismatch in snippet view article find links to article

identical to the one Carl Gauss designed at the age of 9, and proved the Pythagorean Theorem at the age of 10. Kahn was part of the Johns Hopkins University StudyKnotted cord (497 words) [view diff] exact match in snippet view article find links to article

angle. He guesses that the Ancient Egyptians probably did know the Pythagorean theorem, but concludes that "there is no evidence that they used it to constructSum of angles of a triangle (783 words) [view diff] exact match in snippet view article find links to article

postulate, Playfair axiom, Proclus axiom, the Triangle postulate and the Pythagorean theorem. Keith J. Devlin (2000). The Language of Mathematics: Making theTheoretical physics (2,894 words) [view diff] case mismatch in snippet view article find links to article

12. ISBN 978-0471771715. ISBN 9780471771715 Eli Maor (2007). The Pythagorean Theorem: A 4,000-year History (illustrated ed.). Princeton University PressMiriam Greatest Hits (503 words) [view diff] case mismatch in snippet view article find links to article

(Counting You) 大激想 (Wild Dream) 因為所以（畢氏定理） (Because & Therefore – Pythagorean Theorem) 愛人 (Lover) 抬起我的頭來 (Raise My Head) 夏天的故事 (Summer Story) 冰點 (FreezingCrockett Johnson (1,397 words) [view diff] case mismatch in snippet view article find links to article

said paintings are references to each mathematician--"Proof of the Pythagorean Theorem" for Euclid, "Pendulum Momentum" for Galileo, and "Square Root ofKhagaul (1,131 words) [view diff] exact match in snippet view article find links to article

right-angled triangles and of two intersecting circles. Using the Pythagorean theorem, he obtained one of the two methods for constructing his table ofKerry Mitchell (587 words) [view diff] case mismatch in snippet view article find links to article

Photographs, 2001 Modeling Vortical Flows Fractal Tessellations and the Pythagorean Theorem Sequences and Patterns Arising from Mancala on an Infinite BoardGlobal Interdependence Center (586 words) [view diff] case mismatch in snippet view article find links to article

for the Future of Risk Management September 24, 2014 Virtual The Pythagorean Theorem of Financial Repression October 9, 2014 Philadelphia, Pa. AluminumOliver Byrne (mathematician) (1,975 words) [view diff] exact match in snippet view article

Oliver Byrne 1847 Proof of the Pythagorean theorem. Elements of Euclid Book I, page 48Grade (slope) (2,785 words) [view diff] exact match in snippet view article

Or more simply, one can calculate the horizontal run by using the Pythagorean theorem, after which it is trivial to calculate the (standard math) slopePECOTA (3,269 words) [view diff] case mismatch in snippet view article find links to article

Davenport and Keith Woolner, "Revisiting the Pythagorean Theorem: Putting Bill James' Pythagorean Theorem To the Test," BaseballProspectus.com, June 30Additional Mathematics (1,119 words) [view diff] exact match in snippet view article find links to article

Additional Maths (6993). In addition to algebra, coordinate geometry, Pythagorean theorem, trigonometry and calculus, which were on the previous specificationDaryl Morey (3,008 words) [view diff] case mismatch in snippet view article find links to article

Morey ClutchFans. May 22, 2006. Daryl Morey Playlist Appearance on WMBR's Dinnertime Sampler March 3, 2004 Daryl Morey's Modified Pythagorean TheoremOn the Soul (2,307 words) [view diff] exact match in snippet view article find links to article

possible intellect. For example, when a student learns a proof for the Pythagorean theorem, his agent intellect abstracts the intelligibility of all the imagesInvariant mass (2,136 words) [view diff] exact match in snippet view article find links to article

four-vector (E, p), calculated using the relativistic version of the Pythagorean theorem which has a different sign for the space and time dimensions. ThisIntermediate Math League of Eastern Massachusetts (1,017 words) [view diff] case mismatch in snippet view article find links to article

formulas; reasoning in number sentences 3 ? Properties of polygons; Pythagorean Theorem Bases, scientific notation Integral powers (positive, negative, andAlexander Macfarlane (1,284 words) [view diff] case mismatch in snippet view article find links to article

philosophie et enseignement” by C.A. Laissant in Science 8: 51–3. 1899 The Pythagorean Theorem from Science 34: 181,2. 1899: The Fundamental Principles of AlgebraSmari (746 words) [view diff] case mismatch in snippet view article find links to article

preserved except on the surrounding wall, which was built according to Pythagorean Theorem. According to the Archeologist-researcher D.Hadzi-Vallianou theseMathematical joke (2,524 words) [view diff] exact match in snippet view article find links to article

Mathematical joke playing on the Pythagorean theorem and imaginary numbersA. Philip Randolph Career Academy (1,215 words) [view diff] case mismatch in snippet view article find links to article

arcs, area and perimeter, congruent and similar figures, and the Pythagorean Theorem. Algebra 2- a course designed to introduce students to real numbersOn the Spot (2011 TV series) (206 words) [view diff] case mismatch in snippet view article

polar bears, the Great Lakes to the Not So Great Lakes, and the Pythagorean Theorem to endless Pi. 103 Money, Plans, World Geography From dollar billsFlorida Teacher Certification Examinations (917 words) [view diff] case mismatch in snippet view article find links to article

surface area of a pyramid, prism, cone, cylinder, and sphere The Pythagorean Theorem Distance, midpoint, and slope formulas A simple interest formulaBelt (mechanical) (4,417 words) [view diff] exact match in snippet view article

side, the length of the belt increases, in a similar manner to the Pythagorean theorem. One important concept to remember is that as D1 gets closer to D2Bill James (4,537 words) [view diff] case mismatch in snippet view article find links to article

Cockcroft, Tristan H. (March 18, 2010). "Ranking The Ballparks". ESPN. "Pythagorean Theorem of Baseball". Baseball-Reference.com. Retrieved July 5, 2014. BaseballStarfleet Voyages (1,505 words) [view diff] case mismatch in snippet view article find links to article

the different systems were calculated by the application of the Pythagorean Theorem, the type of star and number of planets and their type was rolledHow Not to Be Wrong (2,050 words) [view diff] exact match in snippet view article find links to article

makes reference to multiple mathematical concepts including the Pythagorean theorem, the derivation of Pi, Zeno's paradox, and non-standard analysisBias of an estimator (5,209 words) [view diff] exact match in snippet view article find links to article

the complementary part. Since this is an orthogonal decomposition, Pythagorean theorem says | C → | 2 = | A → | 2 + | B → | 2 {\displaystyle |{\vec {C}}|^{2}=|{\vecProof by infinite descent (2,152 words) [view diff] case mismatch in snippet view article find links to article

Birkhäuser, pp. 75–79, ISBN 0-8176-3141-0 Stephanie J. Morris, "The Pythagorean Theorem", Dept. of Math. Ed., University of Georgia. Brian Clegg, "The DangerousList of historic Indian texts (233 words) [view diff] exact match in snippet view article find links to article

Geometry related to fire altar construction in Hinduism, including pythagorean theorem and square root Śrauta Sanskrit 3000 - 500 BCE Satapatha BrahmanaAncient technology (4,177 words) [view diff] case mismatch in snippet view article find links to article

circles, and triangles. Some evidence suggests that they even knew the Pythagorean Theorem long before Pythagoras wrote it down. They may have even discoveredHarmonic mean (5,797 words) [view diff] case mismatch in snippet view article find links to article

Gazette 83, July 1999, 269–271. Richinick, Jennifer, "The upside-down Pythagorean Theorem," Mathematical Gazette 92, July 2008, 313–;317. Van Rijsbergen, CGravity assist (6,602 words) [view diff] case mismatch in snippet view article find links to article

frame, the planet has a horizontal velocity of v, and by using the Pythagorean Theorem, the spaceship initially has a total velocity of √2v. After the spaceshipGravitational microlensing (6,323 words) [view diff] exact match in snippet view article find links to article

days to a few months. The function u(t) is simply determined by the Pythagorean theorem: u ( t ) = u m i n 2 + ( t − t 0 t E ) 2 . {\displaystyle u(t)={\sqrtAlfred S. Posamentier (1,163 words) [view diff] case mismatch in snippet view article find links to article

Fascinating Figures and Noteworthy Numbers (Prometheus, 2009) The Pythagorean Theorem: Its Power and Glory (Prometheus, 2010) The Glorious Golden RatioDiffraction from slits (3,044 words) [view diff] exact match in snippet view article find links to article

screen the path length to one side of the object is given by the Pythagorean theorem S = L 2 + ( x + a / 2 ) 2 {\displaystyle S={\sqrt {L^{2}+(x+a/2)^{2}}}}Variational Bayesian methods (11,206 words) [view diff] exact match in snippet view article find links to article

it is a lower bound on the evidence of the data. By generalized Pythagorean theorem of Bregman divergence, of which KL-divergence is a special case,Fuzzy set (7,584 words) [view diff] exact match in snippet view article find links to article

_{A}(x)^{2}+\nu _{A}(x)^{2}\leq 1} , which is reminiscent of the Pythagorean theorem. Pythagorean fuzzy sets can be applicable to real life applicationsFuzzy set (7,584 words) [view diff] exact match in snippet view article find links to article

_{A}(x)^{2}+\nu _{A}(x)^{2}\leq 1} , which is reminiscent of the Pythagorean theorem. Pythagorean fuzzy sets can be applicable to real life applicationsInstructional scaffolding (7,031 words) [view diff] case mismatch in snippet view article find links to article

For example, when students are discovering the formula for the Pythagorean Theorem in math class, the teacher may identify hints or cues to help theList of King of Mask Singer episodes (2015) (1,492 words) [view diff] case mismatch in snippet view article

Hyung-joo By Your Side (너의 곁으로) Jo Sung-mo 85 Pythagorean Theorem Kim Young-chul 14 2nd Song Pythagorean Theorem Kim Young-chul Into The Army in the TrainPsychology of learning (5,191 words) [view diff] exact match in snippet view article find links to article

a slave boy, who knew nothing about the Euclidean geometry, the Pythagorean theorem. He did so by asking questions or rephrasing them until the correctSpecial relativity (18,514 words) [view diff] exact match in snippet view article find links to article

\gamma ,k\gamma )} as measured in the unprimed frame. Using the Pythagorean theorem, we observe that the spacing between c t ′ {\displaystyle ct'} unitsTimeline of scientific discoveries (9,927 words) [view diff] exact match in snippet view article find links to article

by a method similar to that used by Euclid in connection with the Pythagorean theorem. Theorems on the lengths of chords are essentially applications ofInteger triangle (6,493 words) [view diff] case mismatch in snippet view article find links to article

Foundation. Retrieved 2017-03-03. Richinick, Jennifer, "The upside-down Pythagorean Theorem", Mathematical Gazette 92, July 2008, 313–317. Voles, Roger, "IntegerLorentz ether theory (10,624 words) [view diff] exact match in snippet view article find links to article

which absolute intervals are seen to be given by an extension of the Pythagorean theorem. (Already in 1906 Poincaré anticipated some of Minkowski's ideasAmdocs (Israel) Ltd. v. Openet Telecom, Inc. (4,135 words) [view diff] case mismatch in snippet view article

result is typically not inventive, even if that context is novel. The Pythagorean Theorem cannot be made eligible by confining its use to existing surveyingHungarian orthography (13,402 words) [view diff] exact match in snippet view article find links to article

phrases and another referring to the person (e.g. Pitagorasz tétele 'Pythagorean theorem' but Püthagorasz for the philosopher himself). Suffixes are addedList of Engine Sentai Go-onger characters (18,313 words) [view diff] case mismatch in snippet view article find links to article

Slash (鋭角三角形斬り, Eikaku Sankakkei Giri), and Hirameki Kill-Factor: Pythagorean Theorem (ヒラメキ殺法・三平方の定理, Hirameki Sappō: Sanheihō no Teiri) attacks. As DetaramedesUnited States Academic Decathlon topics (3,036 words) [view diff] case mismatch in snippet view article find links to article

Probability Permutations and Combinations Binomial Distribution Geometry Pythagorean Theorem and Pythagorean Triples Special Right Triangles Coordinate Geometry