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To finde out two square numbers, which added together make a square number.
Let there be put two like superficiall numbers AB and BC (which how to finde out, hath bene taught after the 9. proposition of this booke) And let them both be either euen numbers or odde. And let the greater number be AB. And forasmuch as if from any euen number be taken away an euen number, or frō
But that which is produced of AB into BC is a square nūber. For it was proued (by the first of the ninth) that if two like plaine numbers multiplieng the one the other, produce any nū∣ber, the number produced shal be a square number. Wherfore there are found out two square numbers, the one being the square number which is produced of AB into BC, and the other the square number produced of CD, which added together make a square number, namely, the square number produced of BD multiplied into himselfe, forasmuch as they were demō∣strated equall to it.