 | George Baron - 1804 - 318 páginas
...sum of the squares of any two quantities is greater than twice their product. 5thly. The cube of the difference of any two quantities is equal to the difference of their cubes diminished by the quantity which arises by multiplying their difference into three times their... | |
 | George Baron - 1804 - 274 páginas
...question is impossible. III. QUEsT. 75. Solved by Henry Smith, New-York. It is well knowp that the product of the sum and difference of any two quantities is equal to thexlifference of their squares, and that the value of a fraction is not altered by an equal multiplication... | |
 | Charles Hutton - 1807 - 464 páginas
...difference of the same, and that product by '7854 ; which is still the same thing, because the product of the sum and difference of any two quantities, is equal to the difference of their squares. Ex. 1. The diameters of two concentric circles being 10 and 6, required the area of the ring contained... | |
 | William Nicholson - 1809 - 722 páginas
...are either universal, which extend to any quantity, without restriction universally , as this, that the rectangle of the sum, and difference of any two...quantities, is equal to the difference of their squares ; or particular, which extend only to a particular quantity ; as this, in an equilateral right-lined... | |
 | Peter Barlow - 1811 - 536 páginas
...VII. On the Products and Transformations of certain Algebraical Formulae. PR0P. I. 89. The product of the sum and difference of any two quantities is equal to the difference of their squares. For, - = a*-. a. ED PR0P. ir. 90. The product of a sum of t\vo sqnares, by double a square, is also... | |
 | Charles Hutton - 1811 - 494 páginas
...difference of the same, and that product by •7854 ; which is still the same thing, because the product of the sum and difference of any two quantities, is equal to the difference of their squares. EX. I. The diameters of two concentric circles being 10 and 6, required the area of the ring contained... | |
 | Charles Hutton - 1818 - 646 páginas
...difference of the .same, and that product by -7854 ; which is still the same thing, because the product uf the sum and difference of any two quantities, is equal to the difference of their squares. Ex. 1. The diumeters of two concentric circles beimt 10 and 6, required the area of the ring contained... | |
 | John Mason Good - 1819 - 742 páginas
...to any guiltily without restriction, universally. As this, that the rectangle or product of the SOIB and difference of any two quantities, is equal to the difference of their squares. Particular theerta, is that which extends only to a particular quantity. As this: in an equilateral... | |
 | William Nicholson - 1821 - 356 páginas
...are either universal, which extend to any quantity, without restriction, universally ; as this, that the rectangle of the sum and difference of any two...quantities is equal to the difference of their squares; or particular, which extend only to a particular quantity ; as this, in an equilateral right-lined... | |
 | William Nicholson - 1821 - 356 páginas
...are either universal, which extend to any quantity, without restriction, universally ; as this, that the rectangle of the sum and difference of any two...quantities is equal to the difference of their squares; or particular, which extend only to a particular quantity ; as this, in an equilateral right-lined... | |
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... the product of the sum and difference of any two quantities, is equal to the difference of their squares. 
