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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 diminished by twice the product of one of those sides and the projection of the other upon that side.
Elements of Plane and Solid Geometry - Σελίδα 186
των George Albert Wentworth - 1877 - 398 σελίδες
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## A Text-book of Geometry

George Albert Wentworth - 1893 - 437 σελίδες
...side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of tJie other upon that side. A Let C be the obtuse angle of the triangle ABC, and CD be the projection...

## Report

...3. In any triangle, the square of the side of an acute angle is equal to the sum of the squares of the other two sides, diminished by twice the product of one of these sides by the projection of the other side upon it. 4. The areas of similar triangles are to each...

## Report, Τόμος 10

...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 diminished by twice the product of one of sides and the projection of the other upon that side. SCHOOL LAW. 1. Name the different grades of certificates...

## An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 138 σελίδες
...triangle from the opposite vertex. 5. The square on the side opposite any acute angle of a triangle is equivalent to the sum of the squares on the other two sides diminished by twice the rectangle on one of those sides and the projection of the other upon it. PRINCETON COLLEGE, June, 1891....

## A Text-book of Geometry

George Albert Wentworth - 1895 - 437 σελίδες
...square of the side opposite an acute angle is equal to the sum of the squares of the other two sidles diminished by twice the product of one of those sides and the projection of the other upon that side. A Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To prove 1J?= BC*...

## Syllabus of Geometry

George Albert Wentworth - 1896 - 50 σελίδες
...any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product...sides and the projection of the other upon that side. 343. In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of...

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

Joe Garner Estill - 1896 - 161 σελίδες
...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 diminished by twice the product of one of these sides and the projection of the other side upon it. Prove. 5. Two equivalent triangles have a...

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

Joe Garner Estill - 1896 - 161 σελίδες
...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 diminished by twice the product of one of these sides and the projection of the other side upon it. Prove. 5. Two equivalent triangles have a...

## Plane and Solid Geometry

James Howard Gore - 1898 - 210 σελίδες
...triangle, the square on the side opposite an acute angle is equivalent to the sum of the squares of the other two sides diminished by twice the product...sides and the projection of the other upon that side. A 1 Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To prove that...

## Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - 1898 - 406 σελίδες
...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 diminished by twice the product...sides and the projection of the other upon that side. Show very briefly bow to construct a triangle having given the base, the projections of the other sides...