 | Francis Nichols - Plane trigonometry - 1811 - 162 pages
...certain circumstances. PROP. VII. 63. In any rectilinear 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 contained by the two sides. Let ABC be any triangle;... | |
 | Jeremiah Day - Measurement - 1815 - 388 pages
...50" 9.8149562 The same result is obtained here, as by theorem II, p. 75. To find the required side in this third case, by the theorems in section IV,...following proposition. THEOREM B. In a plane triangle, tivice the product of any two sides, is to the difference between the SUM of the squares of those sides,... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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 between the sum...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,... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...the base. QED PROP. VI. THEOR. In any triangle, twice the rectangle contained by any two sides is !o 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. LetABCbeanytriangIe,2AB.BCis... | |
 | Euclid - 1835 - 540 pages
...&c. QED PROP. VI. FIG. 9. & 10. In any triangle, twice the rectangle contained by any two adjacent sides is to the difference between the sum of the squares of these two sides, and the square of the base, as the radius is to the cosine of the angle included by... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...&c. QED PROP. VI. FIG. 9. & 10. In any triangle, twice the rectangle contained by any two adjacent sides is to the difference between the sum of the squares of these two sides, and the square of the base, as the radius is to the cosine of the angle included by... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...difference of the segments of the base. PROP. VI. THEOR. In, any triangle, twice the rectangle contained by any two sides is to the difference between the sum...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,... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...difference of the segments of the base. PROP. VI. THEOR. In any triangle, twice the rectangle contained by any two sides is to the difference between the sum...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,... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...difference of the segments of the base. PROP. VI. THEOR. In any triangle, twice the rectangle contained by any two sides is to the difference between the sum...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,... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...difference of the segments of the base. PROP. VI. THEOR. 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 t. base, as the radius to the cosine of the angle included by the two sides. Let ABC be any triangle,... | |
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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,... 
