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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.
Schultze and Sevenoak's Plane and Solid Geometry - Page 192
by Arthur Schultze, Frank Louis Sevenoak - 1918 - 457 pages

## A Text-book of Geometry

George Albert Wentworth - Geometry, Plane - 1892 - 266 pages
...side opposite an acute angle is equal to the sum of the squares of the other two sides diminished Ity twice the product of one of those sides and the projection of the other upon that side. Let C be an acute angle of the triangle ABC, and DC the projection of AC upon BC. To...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of those sides, and the projection of the other side upon it. Prop. 13 may be written AC2=AB2+BC2-2CB.BD, and it may also be enunciated as follows : In every triangle...

## Report, Volume 10

Oregon. Office of Superintendent of Public Instruction - Education - 1893 - 268 pages
...circumference. 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...

## Report

Rutgers University. College of Agriculture - 1893 - 682 pages
...intercepted arcs. 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...

## A Text-book of Geometry

George Albert Wentworth - Geometry - 1893 - 270 pages
...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...

## An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...triangle the square of the side opposite an acute angle is equivalent to the sum of the squares on the other two sides diminished by twice the product of one of these sides and the projection of the other upon that side. 4. Prove that regular polygons of the same...

## A Text-book of Geometry

George Albert Wentworth - Geometry - 1895 - 468 pages
...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....

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

Joe Garner Estill - 1896 - 214 pages
...4. Prove that 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...one of those sides and the projection of the other upon that side. Show very briefly how to construct a triangle having given the base, the projections...