| Robert Simson - Trigonometry - 1806 - 518 pages
...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 - Mathematics - 1814 - 528 pages
...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 - Logarithms - 1815 - 126 pages
...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 - Measurement - 1815 - 388 pages
...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 - 528 pages
...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 - 317 pages
...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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...the sides to the difference of the segments of the base. Q, ED PROP. VI. /ğ ağu 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 - Geometry - 1824 - 440 pages
...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 - Euclid's Elements - 1826 - 326 pages
...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 - Trigonometry - 1827 - 513 pages
...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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