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 those sides and the projection of the other side upon it. Plane and Solid Geometry - Page 169by Claude Irwin Palmer, Daniel Pomeroy Taylor - 1918 - 436 pagesFull view - About this book
| Herbert Ellsworth Slaught - Mathematics - 1918 - 344 pages
...376. THEOREM. The square of the side opposite an obtuse angle of a triangle is equal to the sum of **the squares of the other two sides plus twice the product of one of** these sides and the projection of the other upon it. 0 Outline of proof. Let ZB be the given obtuse... | |
| Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...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. Show very briefly how to construct a triangle having given the base, the projections... | |
| Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...331. In an obtuse-angled triangle the square of the side opposite the obtuse angle equals the sum of **the squares of the other two sides plus twice the product of one of** these sides by the projection of the other side upon it. A B Given the triangle ABC, in which AK is... | |
| Robert Remington Goff - 1922 - 136 pages
...and 340 can be grouped under one statement: The square of one side of a triangle equals the sum of **the squares of the other two sides plus twice the product of one of those sides and the** external projection of the other upon it. Thus if we draw an obtuse triangle, we have Art. 340. If... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...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 side upon it. Given** in A abc, p the projection of 6 upon c, and the angle opposite a an acute angle. To prove a2 = 62 +... | |
| David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...acute •angle of any triangle 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 side upon it.** BA Given the A ABC with an acute ZA, and a' and V, the projections of a and 6 respectively upon c.... | |
| Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - Geometry, Modern - 1924 - 360 pages
...In any obtuse triangle, the square of the side opposite the obtuse angle is equivalent to the sum of **the squares of the other two sides, plus twice the...the other side upon it. Given the obtuse triangle** ACB, with angle ACB obtuse, and a' and c' the projections of a and c, respectively, upon the side 6.... | |
| David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...angle of any obtuse triangle 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 the other side upon it.** 12. The sum of the squares of two sides of a triangle is equal to twice the square of half the third... | |
| Nels Johann Lennes - Mathematics - 1926 - 240 pages
...it. 3. In an obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of **the squares of the other two sides plus twice the product of one of** these sides and the projection of the other side upon it. These three theorems are stated completely... | |
| Nels Johann Lennes, Archibald Shepard Merrill - Logarithms - 1928 - 300 pages
...one upon it. (10) The square of a side opposite an obtuse angle of a triangle is equal to the sum of **the squares of the other two sides plus twice the product of one of** these sides and the projection of the other one upon it. In finding formulas for the area of a triangle... | |
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