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" From the square of the hypothenuse take four times the areaof the triangle, and the square root of the remainder will be the difference of the legs. "
Universal Arithmetick, Or, A Treatise of Arithmetical Composition and ... - Σελίδα 209
των Isaac Newton, Edmond Halley - 1720 - 272 σελίδες
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 476 σελίδες
...be the sum of the legs. From the square of the hypothenuse take four times the areaof the triangle, and the square root of the remainder will be the difference of the legs. Add half the difference of the legs to half their sum, and you will obtain the greater leg; but...

A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - 1831 - 408 σελίδες
...given, to find those numbers. RULE. — From twice the sum of their squares subtract the square of their sum, and the square root of the remainder will be the difference of the two numbers. Then find the numbers by Prob. I. Ex. 1. The sum of two numbers is 50, and the sum of...

A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1833 - 172 σελίδες
...given, to find the length of the sides. Rule—From the square of the diagonal, subtract twice the area, and the square root of the remainder will be the difference of the two adjacent sides. To the square of the diagonal add twice the area, and the square root of the sum...

A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1834 - 182 σελίδες
...to find the length of the sides. Rule — From the square of the diagonal, subtract twice the area, and the square root of the remainder •will be the difference of the two adjacent sides. To the square of the diagonal add twice the area, and the square root of the sum...

A New System of Arithmetic and Mathematics

James H. Porter - 1845 - 252 σελίδες
...given, and the product to find those numbers. RULE. From the sum of the square take twice the product, and the square root of the remainder will be the difference of the numbers. Then proceed as in Problems 4th and 1st. Or, to the sum of the squares add twice the product;...

Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - 1849 - 414 σελίδες
...numbers given, to find the numbers. Rule. From the square of their sum take four times their product, and the square root of the remainder will be the difference of the numbers. Elustration. The sum of two numbers is 10, and their product 24. What are the numbers ? 102=100,...

The Teacher's Aid, Containing the Solution of a Variety of the Most ...

Goodwin Mitchell - 1849 - 224 σελίδες
...will be the product of the numbers. Then from the square of their sum take four times their product, and the square root of the remainder will be the difference of the numbers. Then to half the sum add half the difference for the greater number and subtract it for the...

Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - 1850 - 402 σελίδες
...numbers given, to find the numbers. Rule. From the square of their sum take four times their product, and the square root of the remainder will be the difference of the numbers. Illustration. The sum of two numbers is 10, and their product 24. What are the numbers ? 10...

The American Arithmetic: In which the Principles of Numbers are Explained ...

James Robinson (Jr.) - 1851 - 336 σελίδες
...numbers given, to find the numbers. p RULE. From the square of their sum, take four times their product, and the square root of the remainder will be the difference of the numbers. Then proceed as in Art. 123. EXAMPLE. Five hundred rods of fencing are necessary to enclose...

A Treatise on Practical Mensuration

Anthony Nesbit - 1859 - 494 σελίδες
...the sura of the legs. From the square of the hjpothcnusc take four times the area of the triangle, and the square root of the remainder will be the difference of the legs. Add half the difference of the legs to half their sum, and you will obtain the greater leg ;...




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