 | Elias Voster - 1792 - 296 pages
...The Quotient of any two Quantities being multiplied by the lefs, the Produfil is the greater. .A*. 5. The Rectangle of the Sum, and difference of any two...Quantities, is equal' to the Difference of their Squares. Ax. 6. The Difference of the Squares of the Sum, and Difference of any two Quantities, is equal foutf... | |
 | George Baron - 1804 - 274 pages
...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... | |
 | George Baron - 1804 - 318 pages
...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... | |
 | Charles Hutton - 1807 - 464 pages
...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 pages
...one-celled, very large, roundiili, many-seeded. There are two specie», viz. T. americana and T. longilblia, both natives of America. THEOREM, a speculative proposition,...degrees. Theorems are again distinguished into negative, lora), plan?, ainl solid. A necstive theorem is that which expresses the impossibility of any assertion... | |
 | Charles Hutton - 1811 - 494 pages
...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... | |
 | Peter Barlow - 1811 - 536 pages
...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... | |
 | John Gough - 1813 - 358 pages
...any two Quantities being divided by either Quantity, the Quotient h the other. Ax. 5. The Reftangle of the Sum, and Difference of any two Quantities, is equal to the difference of their Squares. Ax. 6. The Difference of the Squares of the Sum, and difference of any two Quantities, is equal four... | |
 | Charles Hutton - 1818 - 646 pages
...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 pages
...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... | |
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... the product of the sum and difference of any two quantities, is equal to the difference of their squares. 
