 AA' and BB' be perpendicular to line CD, the projection of line AB upon line CD is line A'B'. PROP. XXV. THEOREM 277. 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...  Elements of Plane Geometry - Page 136by Franklin Ibach - 1882 - 196 pagesFull view - About this book
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 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 product of one of these sides and the projection of the other upon it. Hypothesis. In A ABC, ZB is acute. Conclusion.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...Theorem. 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, minus twice the product of one of these sides and the projection of the other side upon it. Fio. 2 Given the triangle ABC, having an... | |
 | 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 product of one of these sides and the projection of the other upon it. A Hypothesis. In A ABC, ZB is acute. Conclusion.... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...+ ai2, we have c2 = a2 + 2 aib + 62. State the theorem proved. Why? Why? Why? Why? 119. Theorem XI. In any triangle the square on the side opposite an acute angle is equal to the sum of the squares on the other two sides, diminished by twice the product of one of... | |
 | Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...+ c^2, we have c2 = a2 + 2 aj> + b\ State the theorem proved. Why? Why? Why? Why? 119. Theorem XI. In any triangle the square on the side opposite an acute angle is equal to the sum of the squares on the other two sides, diminished by twice the product of one of... | |
 | Alfred Monroe Kenyon, William Vernon Lovitt - Mathematics - 1917 - 368 pages
...the given side. 100. 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. V, ยง 100] TRIGONOMETRY Let ABC be any triangle.... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...ANGLE 375. THEOREM. The square of the side opposite an acute angle of a triangle is equal to the sum of the squares of the other two sides minus twice the product of one of these sides and the projection of the other upon it. c Outline of proof. In either figure let ZB be... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...ANGLE 375. THEOREM. The square of the side opposite an acute angle of a triangle is equal to the sum of the squares of the other two sides minus twice the product of one of these sides and the projection of the other upon it. c Outline of proof. In either figure let ZB be... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...Theorem. 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, minus twice the product of one of these- sides and the projection of the other side upon it. FIG. 2 Given the triangle ABC, having an... | |
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