Integer triangle

Results: 65



#Item
21Triangle geometry / Algebraic number theory / Triangles / Triangle / Number / Quadrilateral / Integer / Area / Pythagorean triple / Mathematics / Abstract algebra / Geometry

International Mathematical Olympiad 1995 Hong Kong Preliminary Selection Contest 28th May, 1994 Time allowed: 3 hours

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Source URL: www.mathdb.org

Language: English - Date: 2004-01-04 14:01:34
22Pythagorean theorem / Right triangle / Hypotenuse / Cathetus / Circle / Integer triangle / Kepler triangle / Geometry / Triangles / Special right triangles

NAME Date Band Similar Right Triangles #2.5: Why Three Ratios? Adv Geometry | Packer Collegiate institute

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Source URL: samjshah.files.wordpress.com

Language: English - Date: 2015-03-25 17:14:28
23Analytic number theory / Elliptic curves / Triangle geometry / Diophantine equations / Congruent number / Pythagorean triple / Riemann hypothesis / Prime number / Infinite descent / Mathematics / Abstract algebra / Number theory

A GENERALIZATION OF THE CONGRUENT NUMBER PROBLEM LARRY ROLEN Abstract. We study a certain generalization of the classical Congruent Number Problem. Specifically, we study integer areas of rational triangles with an arbit

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Source URL: web.archive.org

Language: English
24Analytic number theory / Number theory / Group theory / Elliptic curve / Modular forms / Finite fields / Birch and Swinnerton-Dyer conjecture / Algebraic number field / Complex multiplication / Abstract algebra / Mathematics / Mathematical analysis

CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:29
25Number theory / Elliptic curve / Group theory / W2 / Integer triangle / W postcode area / Néron–Tate height / Heronian triangle / W4 / Mathematics / Geometry / Analytic number theory

ELLIPTIC CURVES COMING FROM HERON TRIANGLES ANDREJ DUJELLA AND JUAN CARLOS PERAL Triangles having rational sides a, b, c and rational area Q are called Heron triangles. Associated to each Heron triangle is the quartic A

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Source URL: bib.irb.hr

Language: English - Date: 2012-10-20 07:54:38
26Ring theory / Number theory / Algebraic number theory / Elementary number theory / Integer / Summation / Pythagorean triple / Integer triangle / Mathematics / Abstract algebra / Elementary mathematics

Problems from AMC12 (numbers[removed]A2[removed] ) = (A[removed]B[removed]C[removed]D) 4, 000, [removed]

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Source URL: www.utb.edu

Language: English - Date: 2012-01-10 13:23:50
27Triangle geometry / Pi / Triangle / Inverse trigonometric functions / Circle / Geometry / Trigonometry / Triangles

2014 Rasor-Bareis problem solutions 1. Prove that there does not exist a prime integer of the form[removed]1001. Solution. The number[removed]1001 having n digits “1” is 1 + 1000 + . . . + 1000n−1 =

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Source URL: math.osu.edu

Language: English - Date: 2014-03-07 15:33:56
28Triangle / Billiard table / Circle / Geometry / Triangle geometry / Triangles

2014 Rasor-Bareis examination problems 1. Prove that there does not exist a prime integer of the form[removed]1001. b 2. Suppose |AB| = r, the radius of the circle. If 6 OAB = α,

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Source URL: math.osu.edu

Language: English - Date: 2014-03-07 15:33:16
29Algebraic number theory / Ring theory / Pythagorean triple / Triangle geometry / Integer / Mathematics / Abstract algebra / Number theory

USA Mathematical Talent Search Round 2 Solutions Year 21 — Academic Year 2009–2010 www.usamts.org[removed]Jeremy has a magic scale, each side of which holds a positive integer. He plays the following game: each turn,

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Source URL: www.usamts.org

Language: English - Date: 2010-09-20 13:54:57
30Triangle geometry / Triangle / Altitude / Right triangle / Special right triangles / Equilateral triangle / Area / Integer triangle / Spherical trigonometry / Geometry / Triangles / Euclidean geometry

The Mathematics 11 Competency Test Triangles Triangles are plane geometric figures with three straight line sides and three vertices. Typically, the three vertices are

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Source URL: commons.bcit.ca

Language: English - Date: 2014-05-26 15:56:15
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