 | Robert Gibson - 1832 - 290 pages
...rectangle under two sides is to the rectangle under the semiperimeter, and its excess above the base, as the square of the radius to the square of the co-sine of half the contained angle. ( In the triangle CBE, the perimeter being denoted by P, CB X CE : \P(±P—BE)... | |
 | Robert Simson - 1835 - 544 pages
...adjacent sides, is to the rectangle contained by half the perimeter, and its excess above the base, as the square of the radius to the square of the cosine of half the contained angle. In the plane triangle ABC, if the perimeter be denoted by P, then will AB.AC... | |
 | Euclid - 1835 - 540 pages
...adjacent sides, is to the rectangle contained by half the perimeter, and its excess above the base, as the square of the radius to the square of the cosine of half the contained angle. In the plane triangle ABC, if the perimeter be denoted by P, then will AB.... | |
 | Andrew Bell - 1837 - 290 pages
...the rectangle ifhder its two sides, is to that under the semiperimeter and its excess above the base, as the square of the radius, to the square of the cosine of half the vertical angle. Let ABC be any triangle, and draw the figure ACDH as in the last ; produce... | |
 | Euclid, James Thomson - 1837 - 410 pages
...sides of a triangle is to the rectangle under half the perimeter and its excess above the third side, as the square of the radius, to the square of the cosine of half the angle contained by the two sides. Let ABC be a triangle, and let * =r J (a + b + c) : then... | |
 | John Playfair - 1842 - 332 pages
...increased by the base of the triangle, and the other the sum of the same sides diminished by the base, as the square of the radius to the square of the cosine of half the angle included between the two sides of the triangle. Let ABC be a triangle, of which BC is... | |
 | Euclid, James Thomson - 1845 - 382 pages
...sides of a triangle is to the rectangle under half the perimeter and its excess above the third side, as the square of the radius, to the square of the cosine of half the angle contained by the two sides. then |.c \ (i— o) :: R» : Let ABC be a triangle, and... | |
 | Euclid, John Playfair - 1846 - 334 pages
...increased by the base of the triangle, and the other the sum of the same sides diminished by the base, as the square of the radius to the square of the cosine of half the angle included between the two sides of the triangle. Let ABC be a triangle, of which BC is... | |
 | Euclides - 1860 - 288 pages
...the rectangle under its two sides is to that under the semiperimeter, and its excess above the base, as the square of the radius to the square of the cosine of half the vertical angle. Let ABC be any triangle, and draw the figure ACDH as in the last ; produce... | |
 | William Thomson Baron Kelvin, Peter Guthrie Tait - 1867 - 914 pages
...half the period of revolution relatively to the earth), with amplitude varying in simple proportion to the square of the cosine of the declination of the Sun or Moon, as the case may be, and therefore varying but slowly, and through but a small entire range.... | |
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Between the laws by which the tides diminish from their maximum at the full and change, to their minimum at the first and third quarters, and by which they increase again from the minimum to the maximum, as deduced from the observations at Brest, and... 
