 | Robert Simson - 1806 - Liczba stron: 546
...half their difference. Therefore) in any 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... | |
 | Charles Butler - 1814 - Liczba stron: 528
...the three sides of a triangle are given, 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... | |
 | Jeremiah Day - 1815 - Liczba stron: 172
...a different way, by the following proposition. THEOREM B. In a plane triangle, twice the product of any two sides, is to the difference between the sum...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 - 1815 - Liczba stron: 388
...different way, by the following proposition. THEOREM B. In a plane triangle, tivice the product of any two sides, is to the difference between the SUM...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,... | |
 | Euclides - 1816 - Liczba stron: 588
...half their difference. Therefore, in any 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... | |
 | John Playfair - 1819 - Liczba stron: 354
...as the difference of the sides to the difference of the segments of the base. Q, ED PROP. VI. 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 AB3+BC3 and... | |
 | John Playfair - 1819 - Liczba stron: 350
...the sides to the difference of the segments of the base. Q, ED PROP. VI. /» a»u triangle, twice tlu rectangle contained by any two sides is to the difference...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 AB3+BCa and... | |
 | Jeremiah Day - 1824 - Liczba stron: 440
...a different way, by the following proposition. THEOREM B. In a plane triangle, twice the product of any two sides, is to the difference between the sum of the squares oj those sides, and the square of the third side, as radius to the tosine of the angle included between... | |
 | Euclid, John Playfair - 1826 - Liczba stron: 326
...PROP; VI. THEOR. In any triangle, twiee the reetangle eontained by any two sid.es is to the differenee between the sum of the squares of those sides, and the square of the base, as the radius to the eosine of the angle ineluded by the two sidesi Let ABC be any triangle, 2AB.BC is to the differenee... | |
 | Robert Simson - 1827 - Liczba stron: 546
...of half their difference. Therefore, in any 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... | |
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In any triangle, twice the rectangle contained by any two 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 included by the two sides. Let ABC be any triangle,... 
