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" 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 side upon it. "
Yale University Entrance Examinations in Mathematics: 1884 to 1898 - Page 190
1898 - 208 pages
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Robbin's New Plane Geometry

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 +...
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Plane Geometry

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...
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Plane and Solid Geometry

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...
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Plane Geometry

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,...
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Solid Geometry

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...
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Drill Book in Plane Geometry

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...
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General Mathematics, Book 2

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...
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A Course in Electrical Engineering

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...
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Schultze and Sevenoak's Plane and Solid Geometry

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...
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Industrial Electricity, Part 2

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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