Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities. "
A Treatise on Plane and Spherical Trigonometry - Page 25
by Robert Woodhouse - 1819 - 264 pages
Full view - About this book

A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - Logarithms - 1815 - 172 pages
...the factors, and reducing the terms, we have, sin(a +b)x sin(a — b) =sin *a—sin * b Or, because the difference of the squares of two quantities is equal to the product of their sura and difference, IAlg. 235.] sm(a + b)xsin(a—b)=(sin a+sin b) x(sin a— sin b) That is, the...
Full view - About this book

Algebra: With Arithmetic and Mensuration

Brahmagupta - Algebra - 1817 - 488 pages
...side is obtained, 12. Its square, or the difference of the squares of hypotenuse and upright, is 144. The difference of the squares of two quantities is...equal to the product of their sum and difference.* For a square3 is the area of an equilateral quadrangle [and equi-diagonal4]. This for example, is the...
Full view - About this book

Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta ...

Algebra - 1817 - 478 pages
...side is obtained, 12. Its square, or the difference of the squares of hypotenuse and upright, is 144. The difference of the squares of two quantities is equal to the product of their sum and difference.2 For a square3 is the area of an equilateral quadrangle [and equi-diagonal4]. This for...
Full view - About this book

The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities. (A|g. 235.) Thus as will be seen at once, by performing the...
Full view - About this book

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...together tlic first and second formulas of Art. XIX. substitute for coĢ26, R2 — sm26 and recollect that the difference of the squares of two quantities is equal to the product of their sum and difference. To check and verify operations like these, the proportions should be changed at certain stages. Thus,...
Full view - About this book

The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities. (Alg. 235.) Thus, /t2-J2=(A+J)X(A-&) as will be seen at once,...
Full view - About this book

A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 418 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities. (Alg. 235.) Thus, ha-b'=(h+b)x(hb) as will be seen at once,...
Full view - About this book

Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 338 pages
...there results . 4 ac but (Alg. Art. 46) 2 ac — a2 — c2 =— (a— c)2 hence (ac)2) = R 4ac 4 ac but the difference of the squares of two quantities is...to the product of their sum and difference, hence b* — (a — c)2 = (b + a — c) (b — a + c) substituting the second member of this in place of...
Full view - About this book

A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum mid difference of the quantities. (Alg. 235.) Thus, h* — b'=(h+b)x(h— b) as will be seen...
Full view - About this book

A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 434 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities. (Alg. 235.) Thus, fr — b" =(hjf-b}x(h — b) as will be...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF