 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.  A Text-book of Geometry - Page 161by George Albert Wentworth - 1888 - 386 pagesFull view - About this book
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...Theorem. 186. 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... | |
 | 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... | |
 | Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1900 - 184 pages
...circumscribed circle. t 41. Law of the cosines. — The square of any side of a triangle is equal to the sum of the squares of the other two sides diminished by twice the product of these sides and the cosine of the included angle. Since we are making no use of the directions of the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...XXXVII. THKOREM 320. In any tnangle, 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...one of those sides and the projection of the other side upon it- i Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is an acute... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...any triangle the square on a side opposite an acute angle is equivalent to the sum of the squares on the other two sides, diminished by twice the product...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
...XXXVII. THEOREM 320. 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...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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...XXXVII. THEOREM 320. 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...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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...XXXVII. THEOREM 320. 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...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... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...THEOREM 659. In any triangle the square of a side opposite an acute angle is equivalent 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. B c Let ABC be a A in which BC lies opposite... | |
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