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" ... the product of the sum and difference of any two quantities, is equal to the difference of their squares. "
British Encyclopedia: Or, Dictionary of Arts and Sciences, Comprising an ... - Σελίδα 11
των William Nicholson - 1821
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Arithmetic in Whole and Broken Numbers: Digested After a New Method, and ...

Elias Voster - 1792 - 280 σελίδες
...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...

The Mathematical Correspondent: Containing, New Elucidations ..., Τόμος 1

George Baron - 1804
...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...

The Mathematical Correspondent: Containing, New Elucidations ..., Τόμος 1

George Baron - 1804
...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...

A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - 1807
...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...

The British encyclopedia, or, Dictionary of arts and sciences, Τόμος 6

William Nicholson - 1809
...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...

A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811
...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...

An Elementary Investigation of the Theory of Numbers: With Its Application ...

Peter Barlow - 1811 - 507 σελίδες
...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...

Practical Arithmetic: In Four Books ... Extracted from the Large and Entire ...

John Gough - 1813 - 348 σελίδες
...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...

A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - 1818
...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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 11

John Mason Good - 1819
...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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