Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle. "
New Plane and Spherical Trigonometry - Page 63
by Webster Wells - 1896 - 126 pages
Full view - About this book

A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - Logarithms - 1841 - 244 pages
...sin Л а sin B b' It A = 90°, we still have, in conformity with the theorem, 6 sin В = . a 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the...
Full view - About this book

A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - Logarithms - 1858 - 324 pages
...but BA = BD — AD ; If A = 90° we still have in conformity with the theorem, с = a cos B. 92. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the product of these sides and the cosine of the...
Full view - About this book

Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...(94) or, as it may be written, a + b : a — b : : tan £ (A -\- B) : tan £ (A — B). (95) 113. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the...
Full view - About this book

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...£) or, as it may be written, a-\-b : a — b : : tan £ (A + -B) : tan (94) — .B). (95) 113. ./« any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the...
Full view - About this book

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...— B) ' « + 6 __ tan % (A + B) tan ^ (A — B) ' (94) (A -\- B) : tan £ (A — B). (95) B 113. In any triangle, the square of any side is equal to the sum of the squares of the two other sides, diminished by twice the rectangle of these sides multiplied by the...
Full view - About this book

Dublin examination papers

Dublin city, univ - 1878 - 498 pages
...circle : — (a). Any side is equal to twice the tangent from its middle point to the circle. (4). The square of any side is equal to the sum of the squares of the tangents from its extremities to the circle. 14. A square is described on the hypotheneuse...
Full view - About this book

Elements of Plane and Spherical Trigonometry with Logarithmic and Other ...

Simon Newcomb - Trigonometry - 1882 - 372 pages
...required parts of the triangle from the altitude. CASE III. Given the three sides. THEOREM III. In a triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of the angle...
Full view - About this book

A Practical Text-book on Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1883 - 234 pages
...Since the result (80) may also be written a+b _ COt i Ü ХддЧ а — b tan b (A — В) 146. In any triangle the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle....
Full view - About this book

The Essentials of Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1887 - 200 pages
...£ C a — b~tau$(A — B)' (51) 116. In any triangle, the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle. CASE I. When the included angle A is acute. 0 ъ, FIG. 1. There will be two cases, according as the...
Full view - About this book

Plane Trigonometry

Webster Wells - Plane trigonometry - 1887 - 158 pages
...+ В = 180° - С, we have Thus formula (48) may be put in the form a + b _ cot ^ С '51-. 116. In any triangle, the square of any side is equal to the sum of the squares of the other two sides, minus twice their product into the cosine of their included angle....
Full view - About this book




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