| Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...any triangle, the square on the side opposite an acute angle is equal to the sum of the squares on **the other two sides minus twice the product of one of these sides and the projection of the** oiher sule upon it. AA Given : A ABC, an acute ZC, and the projection DC of AC on BC. To Prove : AB2... | |
| Webster Wells - Geometry, Plane - 1908 - 206 pages
...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.** Draw A ABC having an obtuse angle at C; draw AD _L BC, meeting BC extended at D. We then have : Given... | |
| Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...formulas can be expressed in words : In any triangle, the square of any side is equal to the sum of **the squares of the other two sides minus twice the product of** these two sides multiplied by the cosine of their included angle. NOTE. In Fig. 49 a, A is acute and... | |
| Grace Lawrence Edgett - Geometry - 1909 - 104 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 these sides and the projection of the other** upon that side. 11. DE is a line parallel to AB, the hypotenuse of the right triangle ABC, meeting... | |
| Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...sin A sin B sin С 75. LAW OF COSINES. In any triangle the square of one side |g equal to the sum of **the squares of the other two sides minus twice the product of** these two sides times the cosine of their included angle. Given : A ABC whose sides are a, o, e. /... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...I. 437. THEOREM. Tlie square of a side opposite an acute angle of a triangle is equal to the sum of **the squares of the other two sides minus twice the...one of these sides and the projection of the other** upon it. om Outline of Proof : In either figure let ZB be the given acute angle, and in each case BD... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...I. 437. THEOREM. The square of a side opposite an acute angle of a triangle is equal to the sum of **the squares of the other two sides minus twice the...one of these sides and the projection of the other** upon it. CC cm Outline of Proof : In either figure let ZB be the given acute angle, and in each case... | |
| Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...XLVIII 195. 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, minus twice the...sides and the projection of the other side upon it.** Draw A ABC, either acute-angled or obtuse-angled at B. Draw CE.LAB. Then AE (p) is the projection of... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 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 these sides and the projection of the other side upon it.** A Given A BAX with ZX obtuse, and p, the projection of b upon a. To prove a? = of + b2 + 2 op. 1. 2.... | |
| Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...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** 190 Polygons THEOREM XXXIII 149. The sum of the angles of any polygon is equal to twice as many right... | |
| |