| John Playfair - Euclid's Elements - 1842 - 332 pages
...the difference of the sides to the difference of the segments of the base. PROP. VI. THEOR. In any **triangle, twice the rectangle contained by any two...the base, as the radius to the cosine of the angle** included by the two sides. Let ABC be any triangle, 2AB.BC is to the difference between AB2+BC2 and... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...the difference of the sides to the difference of the segments of the base. PROP. VI. THEOR. In any **triangle, twice the rectangle contained by any two...the base, as the radius to the cosine of the angle** included by the two sides. Let- ABC be any triangle, 2AB.BC is to the difference between AB2+BC2 and... | |
| Dennis M'Curdy - Geometry - 1846 - 166 pages
...b. 3. 6 Th. In any triangle, the sum of two rectangles contained by the sides, is to the difference **of the squares of those sides and the square of the base, as** radius is to the cosine of the angle included by the two sides. Given the triangle ABC ; in which AC... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...the difference of the sides to the difference of the segments of the base. PROP. VI. THEOR. In any **triangle, twice the rectangle contained by any two...sum of the squares of those sides, and the square of** t. base, as the radius to the cosine of the angle included by the two sides. Let ABC be any triangle,... | |
| Jeremiah Day - Geometry - 1851 - 418 pages
...proposition. THEOREM B. In a plane triangle, twice the product of any two sides; is to the difference betioeen **the sum of the squares of those sides, and the square of the** third side, as radius to the cosine of the angle included between the two sides. In the triangle ABC,... | |
| Jeremiah Day - Mathematics - 1853 - 288 pages
...different way, by the following proposition. THEOREM B. In a plane triangle, twice the product of any tivo **sides, is to the difference between the sum of the squares of those sides, and the square of the** third side, as radius to the cosine of the angle included between the two sides. In the triangle ABC,... | |
| Jeremiah Day - Geometry - 1854 - 434 pages
...different way, by the following proposition. THEOREM B. In a plane triangle, twice the product of g/iny **two sides, is to the difference between the sum of the squares of those sides, and the square of the** third side, as radius to the cosine of the angle included between the two sides. In the triangle ABC,... | |
| John Playfair - Geometry - 1855 - 334 pages
...segments of the base. PROP. VI. THEOR. In any triangle, twice the rectangle contained by any two sides ts **to the difference between the sum of the squares of those sides, and the square of** iht base, as the radius to the cosine of the angle included by the two sides. Let ABC be any triangle,... | |
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