Pythagorean triangles with legs less than n

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Prime Pythagorean triangles

A prime Pythagorean triangle has three integer sides of which the hypotenuse and one leg are primes. In this article we investigate their properties and distribution. We are also interested in finding chains of such triangles, where the hypotenuse of one triangle is the leg of the next in the sequence. We exhibit a chain of seven prime Pythagorean triangles and we include a brief discussion of ...

متن کامل

Why do arms extract less oxygen than legs during exercise?

To determine whether conditions for O2 utilization and O2 off-loading from the hemoglobin are different in exercising arms and legs, six cross-country skiers participated in this study. Femoral and subclavian vein blood flow and gases were determined during skiing on a treadmill at approximately 76% maximal O2 uptake (V(O2)max) and at V(O2)max with different techniques: diagonal stride (combine...

متن کامل

Ja n 20 07 Heron ’ s Formula , Descartes Circles , and Pythagorean Triangles

This article highlights interactions of diverse areas: the Heron formula for the area of a triangle, the Descartes circle equation, and right triangles with integer or rational sides. New and old results are synthesized. We first exploit elementary observations about circles to characterize an arbitrary triangle using three circles. A fourth circle brings a certain symmetry – the four radii are...

متن کامل

A ug 2 00 9 Pythagorean Triangles with Repeated Digits – Different Bases

In 1998, in the winter issue of Mathematics and Computer Education ([1]) Monte Zerger posed the following problem. He had noticed or discovered the Pythagorean triple (216, 630, 666); (216) + (630) = (666). Note that 216 = 6 and 666 is the hypotenuse length of this Pythagorean triangle. The question was, then whether there existed a digit d (in the decimal system) and a positive integer k (othe...

متن کامل

Integer Triangles with R / r = N Allan

We consider the problem of finding integer-sided triangles with R/r an integer, where R and r are the radii of the circumcircle and incircle respectively. We find that such triangles are relatively rare.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2002

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(01)00496-4