 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 186by George Albert Wentworth - 1877 - 398 pagesFull view - About this book
 | James Howard Gore - Geometry - 1898 - 232 pages
...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... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 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... | |
 | George Albert Wentworth - Geometry - 1899 - 498 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 - Geometry, Modern - 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, Frank Louis Sevenoak - Geometry - 1901 - 394 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 abc, p is the projection of b upon c, and the angle opposite a is an acute... | |
| |
