| Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...THEOREM 337. 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 product of one of these** two sides and the projection of the other side upon that one. Given: (?). fc| To Prove : c2 = a2 +... | |
| John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...236.4. 202 OBLIQUE TRIANGLES 463. THEOREM. 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 sides and the cosine of the included angle. AD FIG. 209. Given the triangle ABC. To prove that... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...THEOREM 310. 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...one of these sides and the projection of the other** upon it. A Hypothesis. In A ABC, ZB is acute. Conclusion. 62 = a2 + c2 — 2 a • p°. Proof. 1. Draw... | |
| John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...Theorem. — 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 product of one of** those sides and the projection of the other upon it. DB Hypothesis. — In A ABC, Z. A is acute, a,... | |
| Charles Austin Hobbs - Geometry, Solid - 1921 - 216 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.** Prop. 188. Two regular polygons of the same number of sides are similar. Prop. 193. // the number of... | |
| Robert Remington Goff - 1922 - 136 pages
...line upon a line? 339. The square of the side opposite an acute angle of a triangle equals the sum of **the squares of the other two sides minus twice the product of one of** those sides and the projection of the other upon it. 340. The square of the side opposite an obtuse... | |
| Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...other two sides. AREAS 466. Theorem. 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 sides and the cosine of the included angle. Given the triangle ABC. To prove that c2 = a2 + J2... | |
| Chester L. Dawes, S. B. - 1922 - 578 pages
...bc sin A sin sin C Law of Cosines.—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 into the cosine of their included angle. That is: 44. 46. cos A = 46. cos /.' 47. cos... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 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.** Given in A abc, p the projection of 6 upon c, and the angle opposite a obtuse. To prove a2 = 62 + c2... | |
| Chester Laurens Dawes - Electric engineering - 1925 - 502 pages
...sin 20° 0.342 " Law of Cosines. — 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 into the cosine of their included angle. That is: 34. a2 = 62 + c2 - 26c cos A (See... | |
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