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 - Page 188by George Albert Wentworth - 1877 - 398 pagesFull view - About this book
| Mathematics - 1898 - 228 pages
...a triangle of equivalent area. 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. JUNE 1891. 1. All perpendiculars... | |
| Yale University - 1898 - 212 pages
...a triangle of equivalent area. 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. JUNE 1891. Soi,ii>. 1. All... | |
| F. J. Beck - 1899 - 288 pages
...triangle the square on the side opposite an acute angle is equivalent to the sum of the squares of the **two sides diminished by twice the product of one of...sides and the projection of the other upon that side.** 6. To construct a square equivalent to the sum of any number of given squares. 7. If the number of... | |
| George Albert Wentworth - Geometry, Modern - 1899 - 276 pages
...In any triangle, the square of the side opposite an acute angle u equal to the sum of the squares of **the other two sides diminished by twice the product of one of those sides** by the projection of the other upon that side. D Fio. 1. FH». 2. Let C be an acute angle of the triangle... | |
| William James Milne - Geometry - 1899 - 396 pages
...the side opposite an acute angle ; construct squares on the other two sides and also the rectangle **of one of those sides and the projection of the other upon that side** ; find the area of each figure constructed. How does the area of the first square com. pare with the... | |
| William James Milne - Geometry, Modern - 1899 - 258 pages
...the side opposite the obtuse angle; construct squares on the other two sides and also the rectangle **of one of those sides and the projection of the other upon that side** produced ; find the area of each figure constructed. How does the area of the first square compare... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...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** % the projection of the other upon that side. D FIG. l. FIG. 2. Let C be an acute angle of the triangle... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...In any triangle, the square of a 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. CASE I. When the projection of the vertex... | |
| Edward Brooks - 1901 - 278 pages
...AC2. PROPOSITION XIII. — THEOREM. In any triangle the square on a side opposite an acute angle is **equivalent to the sum of the squares on the other...sides and the projection of the other upon that side.** Given. — Let ABC be any triangle, B an acute angle, and BD the projection of BC on AB. To Prove.... | |
| Arthur Schultze - 1901 - 260 pages
...In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of **the other two sides diminished by twice the product...one of those sides and the projection of the other** side upon it. Hyp. In A a&c, p is the projection of 6 upon c, and the angle opposite a is an acute... | |
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