 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 - Page 19by Olinthus Gregory - 1816 - 244 pagesFull view - About this book
 | Olinthus Gilbert Gregory - 1848 - 572 pages
...difference of the segments of the base made by a perpendicular let fall from the vertical angle. XVIII. In any plane triangle it will be, as twice the rectangle...sides and the square of the base, so is the radius to tbe cosine of the angle contained bv the two sides. Cor. When unity is assumed as radius, then if AC,... | |
 | Olinthus Gregory - 1863 - 482 pages
...difference of the segments of the base made by a perpendicular let fall from the vertical angle. IS. In any plane triangle it will be, as twice the rectangle...two sides, is to the difference of the sum of the of those two sides and the square of the base, so isto the cosine of the angle contained by the two... | |
 | William Findlay Shunk - Railroad engineering - 1880 - 362 pages
...segments of the base made by a perpendicular let fall from the vertical angle. 6. In any plane triangle, as twice the rectangle under any two sides is to the...the cosine of the angle contained by the two sides. VII. SOLUTION OF PLANE TRIANGLES. 1. It is usually, though not always, best to work the proportions... | |
 | William Findlay Shunk - Railroad engineering - 1890 - 360 pages
...segments of the base made by a perpendicular let fall from the vertical angle. 6. In any plane trianr/le, as twice the rectangle under any two sides is to the...radius to the cosine of the angle contained by the two side«. VII. SOLUTION OF PLANE TRIANGLES. 1. It is usually, though not always, best to work the proportions... | |
 | William Findlay Shunk - Railroad engineering - 1890 - 372 pages
...vertieal angle. 0. 1n ang plane triangle, as twiee the reetangle under any two sides is to the differenee of the sum of the squares of those two sides and the square of the base, so is the radius to the eosine of the angle eontained by the two sides. VH. 8OLCT1ON OF PLANE TR1ANGLE8. 1. 1t is usually,... | |
 | William Findlay Shunk - Railroad engineering - 1908 - 386 pages
...segments of the base made by a perpendicular let fall from the vertical angle. 6. In any plane triangle, as twice the rectangle under any two sides is to the...the cosine of the angle contained by the two sides. V11. SOLUTION OF PLANE TRIANGLES. 1. It is usually, though not always, best to work the proportions... | |
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