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" ... the product of the sum and difference of any two quantities, is equal to the difference of their squares. "
Mechanics for Practical Men - Page 38
by Alexander Jamieson - 1845 - 238 pages
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Arithmetic in Whole and Broken Numbers: Digested After a New Method, and ...

Elias Voster - Business mathematics - 1792 - 296 pages
...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...
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The Mathematical Correspondent: Containing New Eludications ..., Volume 1

George Baron - Mathematics - 1804 - 274 pages
...the 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...
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The Mathematical Correspondent: Containing, New Elucidations, Discoveries ...

George Baron - Mathematics - 1804 - 318 pages
...the. question is impossible. III. QUEST. 75. Solved by Henry Smith, Ncw-Tork. It is well known that the product of the sum and difference of any two quantities is equal UKthe-diif'erence of their squares, and that the value of a fraction is not altered by an equal multiplication...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - Mathematics - 1807 - 464 pages
...diameters by the 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...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...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 6

William Nicholson - 1809 - 722 pages
...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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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - Mathematics - 1811 - 494 pages
...diameters by the 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...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...
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An Elementary Investigation of the Theory of Numbers: With Its Application ...

Peter Barlow - Mathematics - 1811 - 536 pages
...number is . CHAP. 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...
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Practical Arithmetic: In Four Books ... Extracted from the Large and Entire ...

John Gough - Arithmetic - 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...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

Charles Hutton - Arithmetic - 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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 11

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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