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In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Yale University Entrance Examinations in Mathematics: 1884 to 1898 - Page 190
1898 - 208 pages

## Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 214 pages
...angle. 3. In any triangle the square of a side opposite an acute angle equals the sum of the squares on the other two sides minus twice the product of one of these sides by the projection of the other upon it. 4. The length of a tangent to a circle, from a point eight...

## Plane Geometry

George D. Pettee - Geometry, Modern - 1896 - 272 pages
...the side opposite the obtuse angle is equal to the sum, of the squares of the other two sides plus twice the product of one of these sides and the projection of tJie other upon it. Appl. Prove AC* = CB * + AB * + 2CBxBD Cons. Draw AD -L CB (produced) Dem. CD=CB...

## Proceedings of the ... Annual Meeting, Volumes 17-20

Engineering - 1896 - 742 pages
...adding 10 to its characteristic. Theorem I. The square on any side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of these sides into the cosine of their included angle. First, if the angle B is acute we have b2=a2+c2...

## Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus twice t he product of one of these sides and the projection of the other side upon it. GIVEN — the obtuse-angled triangle ABC with B the obtuse angle. Draw AD perpendicular to CB produced,...

## The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 250 pages
...THEOREM 277. In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the...sides and the projection of the other side upon it. D B fig. 1. Fig. 2. D Given C an acute Z of A ABC, and CD the projection of side AC upon side CB, produced...

## The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 284 pages
...the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus twice the product of one of these sides and the projection of the oiher side upon it. Given C an obtuse Z of A ABC, and CD the projection of side AC upon side BC produced....

## Elements of Plane and Spherical Trigonometry

James William Nicholson - Trigonometry - 1898 - 204 pages
...the following is the 56 Translation: The square of any side of any triangle is equal to the sum of the squares of the other two sides, minus twice the product of these sides into the cosine of their included angle. While all other trigonometric relations of the...

## The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...THEOREM 277. In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the...sides and the projection of the other side upon it. CD B Fig. 1. Fig. t. Given C an acute Z of A ABC, and CD the projection of side AC upon side CB, produced...