Ndiophantus book ii problem 12-5an

This problem became important when fermat, in his copy of diophantus arith. Intersection of the line cb and the circle gives a rational point x 0,y 0. For example, book ii, problem 8, seeks to express a given square number as the sum of two square numbers here read more. Some problems from diophantus arithmetica ucr math. This book features a host of problems, the most significant of which have come to be called diophantine equations. To divide a given square into a sum of two squares. One of the most famous problems that diophantus treated was writing a square as the sum of two squares book ii, problem 8. As a 15 year old student in the netherlands who loves math, i was just casually going through some problems in my text book. Find two numbers such that the square of either added to the sum of both gives a square. The problems of book i are not characteristic, being mostly simple problems used to illustrate algebraic reckoning. Forty two problems of first degree from diophantus arithmetica the following faculty members have examined the.

Some problems of diophantus franz lemmermeyer december 21, 2003. I thought i would give it a shot and tried solving it. The distinctive features of diophantus s problems appear in the later books. Diophantus of alexandria arithmetica book i joseph. Find a number whose subtraction from two given numbers. As i was at the end of the chapter about equations linear, quadratic and radical i saw the well known riddle about diophantus s age. Diophantuss arithmetica1 is a list of about 128 algebraic problems with so lutions.

Diophantus of alexandria, arithmetica and diophantine equations. Alternative solution for the diophantus age riddle. The eighth problem of the second book of diophantuss arithmetica is to divide a square into a sum of two squares. Find two square numbers whose di erence is a given number, say 60. Solve problems, which are from the arithmetica of diophantus. The eighth problem of the second book of diophantus s arithmetica is to divide a square into a sum of two squares. Diophantus of alexandria problem set i convert the. In it he introduced algebraic manipulations on equations including a symbol for one unknown probably following other authors in alexandria. Thus the problem has been reduced to a linear equation, which.