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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,... "
A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ... - Page 13
by Francis Nichols - 1811 - 128 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...the difference of the sides to the difference of the segments of the base. PROP. VI. THEOR. 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 AB2+BC2 and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...the difference of the sides to the difference of the segments of the base. PROP. VI. THEOR. 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 AB2+BC2 and...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 166 pages
...b. 3. 6 Th. In any triangle, the sum of two rectangles contained by the sides, is to the difference of the squares of those sides and the square of the base, as radius is to the cosine of the angle included by the two sides. Given the triangle ABC ; in which AC...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1849 - 332 pages
...the difference of the sides to the difference of the segments of the base. PROP. VI. THEOR. In any triangle, twice the rectangle contained by any two...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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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 418 pages
...proposition. THEOREM B. In a plane triangle, twice the product of any two sides; is to the difference betioeen the sum of 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,...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Mathematics - 1853 - 288 pages
...different way, by the following proposition. THEOREM B. In a plane triangle, twice the product of any tivo sides, is to the difference between the sum of 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,...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1854 - 434 pages
...different way, by the following proposition. THEOREM B. In a plane triangle, twice the product of g/iny two sides, is to the difference between the sum of 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,...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...segments of the base. PROP. VI. THEOR. In any triangle, twice the rectangle contained by any two sides ts to the difference between the sum of the squares of those sides, and the square of iht base, as the radius to the cosine of the angle included by the two sides. Let ABC be any triangle,...
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