Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" In any plane triangle, as twice the rectangle under any two sides is to the difference of the sum of the squares of those two sides and the square of the base, so is the radius to the cosine of the angle contained by the two sides. "
Elements of Plane and Spherical Trigonometry: With Their Applications to ... - Page 19
by Olinthus Gregory - 1816 - 244 pages
Full view - About this book

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...plane triangle, 8cc. QED PROP. V. FIG. 9, 10. IN any plane triangle, twice the rectangle contained by any two sides is to the difference of the sum of the squares of these two sides, and the square of the base as the radius is to the co-sine of the angle included by...
Full view - About this book

Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...In any triangle, as twice the rectangle under two sides, is to the difference between their squares and the square of the base, so is the radius, to the cosine of the contained angle. In the triangle ABC, 2AB x BC : AB' + AC* — BC' R:Cos,BAC. For let fall the perpendicular...
Full view - About this book

A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - Plane trigonometry - 1811 - 162 pages
...sides is to the difference between the sum of the squares of those sides and the square of the base, as the radius to the cosine of the angle contained by the two sides. Let ABC be any triangle; 2 AB. BC : difference between AB2+BC2 and AC2 :: R : cos. B. A A B D C B CD From A draw...
Full view - About this book

An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...the angles are found by this proposition. 71. In a plane' triangle, twice the rectangle contained by any two sides, is to the difference of the sum of the squares of these two sides and the square of the base, as radius to the co-sine of the angle contai-ned by the...
Full view - About this book

Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...angles are found by this proposition. 71- In a plane triangle, twice the rectangle contained bjacj two sides, is to the difference of the sum of the squares of these two sides and the square of the base, as radius to the co-sine of the angle contained by the...
Full view - About this book

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...plane triangle, &c. Q. E, D. PROP. V. FIG. 9. and 10. IN any triangle, twice the rectangle contained by any two sides is to the difference of the sum of the squares of these two sides, and the square of the base, as the radius is to the cosine of the angle included by...
Full view - About this book

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...plane triangle, Sic. QED PROP. V. FIG. 9 and 10. In any triangle, twice the rectangle contained by any two sides is to the difference of the sum of the squares of these two sides, and the square of the base, as the radius is to the cosine of the angle included by...
Full view - About this book

Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - Mathematics - 1834 - 484 pages
...difference of the segments of the base made by a perpendicular let fall from the vertical angle. 18. In any plane triangle it will be, as twice the rectangle...the cosine of the angle contained by the two sides. Cor. When unity is assumed as radius, then if A c, AB, B c, are the sides of a triangle, this prop,...
Full view - About this book

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...plane triangle, &c. Q. JE. a. PROPOSITION V. In any triangle, twice the rectangle contained by any tn-n sides, is to the difference of the sum of the squares of these two sides, and the square of the base, as the radius is to the cosine of the angle included by...
Full view - About this book

The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...Therefore, in any plane triangle, &c. QED PROP. V. In any triangle, twice the rectangle contained by any two sides is to the difference of the sum of the squares of these two sides, and the square of the base, as the radius is to the co-sine of the angle included...
Full view - About this book




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